Write the logarithm as a sum or difference of logarithms. simplify each term as much as possible. log4(6ab)
a. log46 log4(a b)
b. log46 log4a log4b
c. 24log4a 24log4b
d. (log4a log4b)6

Answers

Answer 1

The simplification the expression log₄ (6ab) is log₄ 6 + log₄ a + log₄ b.

To generate a given number, a base must be raised to a particular exponent, power, or logarithm. If aˣ = n, then x is the logarithm of n to the base a, which is expressed mathematically as x = logₐ n.

Some properties of logarithm are:

Product rule: logₐ (mn) = logₐ m + logₐ n

Quotient rule: logₐ (m/n) = logₐ m – logₐ n

Power rule: logₐ mⁿ = n logₐ m

Consider the logarithm expression,

log₄ (6ab).

Using the properties of logarithms,

logₐ (mn) = logₐ m + logₐ n

Therefore,

log₄ (6ab) = log₄ ( 6 × a × b )

log₄ (6ab) = log₄ 6 + log₄ a + log₄ b

The correct option is (b).

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Related Questions

How does a certain frequency of line occur in the hydrogen spectrum?

Answers

Though a hydrogen atom has only one electron, it contains a large number of shells, so when this single electron jumps from one shell to another, a photon is emitted, and the energy difference of the shells causes different wavelengths to be released... hence, mono-electronic hydrogen has many spectral lines

Answer: Your welcome!

Explanation:

A certain frequency of line in the hydrogen spectrum occurs when an electron in the atom transitions from one energy level to another, releasing or absorbing a photon of light with a specific frequency. This frequency is determined by the energy difference between the two levels and is referred to as the Rydberg equation. The Rydberg equation specifies the frequency of the photon as a function of the energy levels and the mass of the electron. The frequency of a line in the hydrogen spectrum is therefore determined by the energy difference between the two levels, as well as the mass of the electron.

The modern periodic table is organised into groups (columns) and periods (rows). Elements in the same period have similar __________. What completes the sentence?

PLSSS ANSWER

Answers

Answer:different numbers of electrons in their valance shells

Explanation:voodoo$

Answer:

the same number of valence electrons

Explanation:

draw the lewis structure for carbon tetrabromide, cbr4. include lone pairs. select the intermolecular forces present between cbr4 molecules

Answers

The intermolecular forces present between the molecules of carbon tetrabromide (CBr4) are london dispersion forces.

What are lewis structures?

Dots are used to indicate the positions of electrons surrounding the atoms in a molecule's Lewis structure, and lines or pairs of dots stand in for covalent bonds between atoms. The goal of creating a Lewis dot structure is to locate lone electron pairs in molecules in order to better understand how chemical bonds are formed.

One carbon atom and four bromine atoms make up the chemical compound CBr4, often known as carbon tetrabromide. The carbon atom in the Lewis structure of CBr4 is surrounded by four single bonds, has four bromine atoms connected to it, and has three lone pairs on each of the bromine atoms.

The intermolecular forces present between the molecules of carbon tetrabromide are london dispersion forces.

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1) If the [H+] is 3.6 x 10-3 mol/L, what is the pH?
2)If the [OH-] is 4.4 x 10-4 mol/L, what is the pOH?
3)If the [H+] is 5.7 x 10-14 mol/L, what is the pH?
4)If the [OH-] is 2.3 x 10-12 mol/L, what is the pOH?
5)If the [OH-] is 9.7 x 10-3 mol/L, what is the pH?
URGENT!! Any/All help is appreciated!

Answers

1. The pH is 2.44

2. The pOH is 3.36

3. The pH is 13.24

4. The pOH is 11.64

5. The pH is 11.99

1. How to determine the pH Hydrogen ion concentration [H⁺] = 3.6×10¯³ mol/LpH =?

pH = –Log H⁺

pH = –Log 3.6×10¯³

pH = 2.44

2. How to determine the pOH Hydroxide ion concentration [OH¯] = 4.4×10¯⁴ mol/LpOH =?

pOH = –Log OH¯

pOH = –Log 4.4×10¯⁴

pOH = 3.36

3. How to determine the pH Hydrogen ion concentration [H⁺] = 5.7×10¯¹⁴ mol/LpH =?

pH = –Log H⁺

pH = –Log 5.7×10¯¹⁴

pH = 13.24

4. How to determine the pOH Hydroxide ion concentration [OH¯] = 2.3×10¯¹² mol/LpOH =?

pOH = –Log OH¯

pOH = –Log 2.3×10¯¹²

pOH = 11.64

5. How to determine the pH

We'll begin by obtaining the pOH of the solution. This illustrated below:

Hydroxide ion concentration [OH¯] = 9.7×10¯³ mol/LpOH =?

pOH = –Log OH¯

pOH = –Log 9.7×10¯³

pOH = 2.01

Finally, we shall determine the pH as follow:

pOH = 2.01pH =?

pH + pOH = 14

pH + 2.01 = 14

Collect like terms

pH = 14 - 2.01

pH = 11.99

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A chemical engineer has determined by measurements that there are 42. moles of hydrogen in a sample of methyl tert-butyl ether. how many moles of oxygen are in the sample?

Answers

In a methyl tert-butyl ether sample that contains 69.0 moles of hydrogen, there are 5.75 moles of oxygen.

What is methyl tert-butyl ether?

Methyl tertiary-butyl ether (MTBE), also known as methyl tert-butyl ether and tert-butyl methyl ether, is an organic chemical with the structural formula (CH3)3COCH3. MTBE is a colorless, flammable liquid that is only weakly soluble in water. MTBE is primarily a fuel additive that is mixed with gasoline to improve knock resistance and cut back on unwelcome emissions.

Methanol and isobutylene combine chemically to produce MTBE. Natural gas, especially methane, contains a variety of light hydrocarbons that steam reforming can transform into carbon monoxide and hydrogen. The resultant gases then continue to react in the presence of a catalyst to produce methanol. There are numerous ways to make isobutylene.

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4.2 Rachel measured the mass of an empty 250 cm³ flask. She then filled the flask with a gas of unknown molar mass at an atmospheric pressure of 100 kPa and a temperature of 27 °C. She found that the mass of the flask and contents increased by 0,44 g. a) Calculate the molar mass of the gas Rachel used to fill the flask.​

Answers

The molar mass of unknown gas at 100kPa pressure and temperature of 27⁰C is 44 gram/mol

According to the ideal gas law, the sum of the absolute temperature of the gas and the universal gas constant is equal to the product of the pressure and volume of one gram of an ideal gas.When applying the gas constant R = 0.082 L.atm/K.mol, pressure, volume, and temperature should all be expressed in units of atmospheres (atm), litres (L), and kelvin (K).

Given,

Volume of flask is 250 cm³ or 0.25L

Atmospheric pressure of unknown gas is 100kPa or 0.986 atm.

Temperature is 27⁰C = 27 + 273 = 300K

Increase in mass and content is 0.44gm that means this is mass of unknown gas.

Ideal gas law,

PV = nRT

PV = (m/M)× RT

m is given mass

M is molar mass of gas

R = 0.08

0.986 × 0.25 = (0.44/M) × 0.08 × 300

M = 0.44 × 0.08 × 300 / 0.986 × 0.25

M = 10.56 / 0.24 = 44 gram/mol

Therefore, the molar mass of unknown gas is 44 gram/mol.

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9. a dosage is prescribed as 8.70 mg of medicine per kg of body weight. how many mg of medicine should be given to a 182 pound person? round your answer to a whole number (the ones place).

Answers

The amount of medicine that should be given to a 182-pound person is 718 mg.

To calculate the dosage of medicine we have to first convert the weight of a person from pound to kg

We know that,

1 pound = 0.454 kg

Thus, the weight of a person weighing 182 pounds is 182 x 0.454 = 82.628 kg.

The dosage prescribed is 8.70 mg of medicine per kg of body weight.

Thus, the dosage for 82.62 kg comes out to be 82.62 x 8.70 = 718.78 mg.

Thus, the amount of medicine that should be given to a 182-pound person is 718 mg.

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What type of model does the
information below represent?

2C(s) + 4H₂(g) + O₂(g) → 2CH3OH

A Mathematical Model

B. Analogy Model

C. Computer Simulation Model

D. Particle Model

Answers

The type of model does the information given represent is particle model.

What is particle model?

The particle theory of matter is a model that describes the arrangement and movement of particles in a substance.

The model is used to explain the physical properties of solids, liquids and gases.

The given chemical equation;

2C(s) + 4H₂(g) + O₂(g) → 2CH3OH

Thus, the type of model does the information given represent is particle model.

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This graph shows the US unemployment rate from August 2010 to November 2011.



This graph suggests unemployment in the United States

will continue to fall.
will continue to rise.
will remain the same.

Answers

This graph suggests unemployment in the United States Will continue to rise.

Governments can buy materials from anywhere. Governments can rely on automation to cut costs. Governments can respond quickly to economic changes. Workers can take internet courses to learn new skills. Automation makes it easier and cheaper to make goods. Companies can hire factory workers anywhere in the world.

It is widely recognized in economics that technology is a key enabler of economic growth in countries, regions, and cities. Prosperity depends on technological advances that allow us to produce more and better goods and services more efficiently. Governments can control income levels by imposing limits on how much their citizens can earn.

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A: will continue to rise

E:

edge 2023

A negatively charged particle located in the cloud like smear of negative charge of an atom is called a(n)?

Answers

A negatively charged particle located in the cloud like smear of negative charge of an atom is called an electron.

The electron (symbol: e⁻) is a subatomic particle whose electric charge is negative one elementary charge.

The electron has a mass that is approximately 1/1836 that of the proton (subatomic particle with a positive electric charge of +1e elementary charge).

An electron cloud is ​the region of negative charge surrounding an atomic nucleus that is associated with an atomic orbita

The region of negative charge is an electron cloud (high probability of containing electrons). It surrounds an atomic nuclei.

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A sample of 150 Boron (B) atoms are taken where 120 have a mass of 10 and 30
have a mass of 11. What is the percent abundance of B-10?
A 20%
B 30%
C 10%
D 80%
F 11%

Answers

The percentage abundance of B-10 is 80% (Option D)

Data obtained from the question

The following data were obtained from the question:

Total sample = 150 Amount of B-10 = 120Amount of B-11 = 30Percentage abundance of B-10 =?

How to determine the pecentage abundance of B-10

The pecentage abundance of B-10 can be obtained as illustrated below:

Percentage abundance of B-10 = (Amount of B-10 / total) × 100

Percentage abundance of B-10 = (120 / 150) × 100

Percentage abundance of B-10 = 0.8 × 100

Percentage abundance of B-10 = 80%

Thus, the percentage abundance of B-10 is 80% (Option D)

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A room contains 50.2 cubic feet of air. determine the volume of the room in liters

Answers

volume in liters= (50.2[tex]ft^{2}[/tex]) ×28.317l/[tex]ft^{2}[/tex]

volume in liters=1421.5134L

∴50.2 cubic feet is equal to 1421.5134 liters of volume.

What is the formula for calculating volume in cubic feet?

If you prefer or have to calculate cubic footage by hand, multiply three linear measurements in feet (length, width, and height). For example, to determine the volume of a cube, multiply length by width by height.The first step is to multiply the length by the width by the height. This results in the number of cubic millimeters. You then divide that number by a million to get the number of liters. Square feet are calculated by multiplying the length by the width. Here's a simple formula you can use: Length (in feet) x width (in feet) = square footageDivide the volume by the conversion ratio to convert a cubic centimeter measurement to a liter measurement. The volume in liters is calculated by dividing the cubic centimeters by 1,000.

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question 3 a reaction equation, shown below, consumes 5.0 g of a and 6.0 g of b. how many total grams of c and d should be obtained? 1 a 3 b → 2 c 4 d

Answers

By law of conservation of mass The total grams of c and d obtained is equal tp 11 gm

When two or more molecules or compounds interact, one or more new substances are created. These chemical reactions adhere to a set of rules known as the laws of chemical combination. One of the laws of chemical combination is the law of conservation of mass

This law states that the total mass of the reactants equals the total mass of the result in any physical or chemical change (s).

That implies that mass is unaffected by the reaction both before and after it.

Thus, the mass of all reactants equals the mass of all products, and the mass of A and B equals the mass of C and D.

The mass of C and D is (5g + 6g) = 11g

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For a second order reaction where concentration is measured in molarity and time is measured in seconds, the units on the rate constant must be:___.

Answers

For a second order reaction where concentration is measured in molarity and time is measured in seconds.

The unit for the rate constant of a second order reaction is Lmol −1s −1 .

What is molarity?

For a second order reaction, rate=k[A] 2

molL −1s −1 =k(molL −1) 2

k=Lmol −1s −1

The molarity of a solution is the quantity of solute in moles per litre of solution. Molarity is represented by a capital M. A solution is a combination of two or more compounds in chemistry in which neither substance undergoes chemical change. For instance, salt water is a mixture of salt and water (the solvent) (the solute).

Therefore,

For a second order reaction where concentration is measured in molarity and time is measured in seconds, the units on the rate constant must be

The unit for the rate constant of a second order reaction is Lmol −1s −1 .

For a second order reaction, rate=k[A] 2

molL −1s −1 =k(molL −1) 2

k=Lmol −1s −1

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classify each of the properties of ozone (a pollutant in the lower atmosphere but part of a protective shield against uv light in the upper atmosphere) as physical or chemical.

Answers

Ozone has a bluish color is a physical property

Ozone has a pungent odor is a physical property

Ozone is very reactive is a chemical property

Ozone decomposes on exposure to ultraviolet light is a chemical property

Ozone is gas at room temperature is a physical property.

What is ozone layer?

We and other living things are protected from the sun's harmful UV radiation by the ozone layer, which is located in the stratosphere between 15 and 30 kilometers above the earth. The ecosystem and human health may suffer significantly if the ozone layer is destroyed.

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A busen burner flame is sooty black and mixed with an organige- yellow color. which is the probable reason for this condition?

Answers

The probable reason for busen burner flame  this condition insufficient oxygen mixing with gas

Why is that the Bunsen burner flame orange?

A gas flame appearing yellow or orange in color or behaving with pops of yellow or orange indicates an improper ratio of oxygen for combustion. Often this improper combustion is temporary and will be caused by dust particles or a dirty burner that needs cleaning.

Why a sooty yellow flame is formed?

The yellow/orange/red color is made by carbon soot particles in the flame, produced because the result of incomplete methane gas combustion

Under what conditions does one get a sooty flame?

A black un burned carbon particle are often seen in the sooty flame as this flame burns with a yellow flame due to incomplete combustion.

If there's insufficient air supply, then incomplete combustion of saturated hydrocarbons produces a sooty flame

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When butter is melted, the _____________ of the butter has changed, but the substance is still butter?

Answers

melting of butter is a physical change

Explanation:

magnesium metal, a gray solid, is heated in a crucible in the presence of oxygen. a white powder is collected from the crucible. this is an example of

Answers

'Magnesium metals, a gray solid, is heated in a crucible in the presence of oxygen. A white powder is collected from the crucible. This is an example of Chemical change.

What is chemical change?

Chemical change is a process in which any substance or reactant changes or converts into a different product.

The balanced chemical equation of above reaction is :

               2Mg(s) + O₂(g) ------Δ-----→ 2MgO

Magnesium metal when heated in a crucible in the presence of oxygen, it forms a white powder of the magnesium oxide.

Magnesium (Mg) gives up two electrons to the oxygen atom to form the white powder. This reaction releases heat and change in enthalpy ΔH° is negative.

A new product, MgO is formed in the reaction having new and different properties and the composition of magnesium also changes.

Burning of magnesium in presence of oxygen is an irreversible change, as magnesium cannot be retrieved from the white powder. All irreversible changes are chemical changes, So this reaction is an example of chemical change.

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5. A shiny, gold-colored bar of metal weighing 57.3 g has a volume of 4.7 cm 3 . Is the bar of metal pure
gold? (The density of gold is 19.3 g/cm 3 )

6. The density of dry air measured at 25C is 1.19 x 10 -3 g/ml. What is the volume of 50.0 g of air?

7. A student measures has a sample of pure aluminum which has a density of 2.70 g/ml. If the sample
has a volume of 50.0 ml, what would be its mass?

8. A light beam has a wavelength of 475 nm (nanometers). How many meters would this be?

Answers

1. The bar of metal is not pure gold.

2. The volume of 50.0 g of air is 42,016 mL.

3. The mass of the pure aluminum is 135 g.

4. The light beam's wavelength in meters is 475 x  [tex]10^{-9[/tex] m.

What is density?

The density of a substance is the ratio of the mass of the substance and its volume.

Density = mass/volume.

For the first problem: mass = 57.3 g, volume = 4.7 cm3

Density of the metal = 57.3/4.7

                                   = 12.19 g/cm3

The density of gold is 19.3 g/cm3. Thus, the bar of metal is not pure gold.

For the second problem: density = 1.19 x [tex]10^{-3[/tex] g/ml, mass = 50.0 g

Volume = mass/density

                 = 50/1.19 x [tex]10^{-3[/tex]

                      = 42,016 ml

The volume of 50.0 g of air is 42,016 mL.

For the third problem: density = 2.70 g/ml, volume = 50.0 ml.

Mass = density x volume

                 = 2.70 x 50

                       = 135 g

The mass of the pure aluminum is 135 g.

Lastly:

nano = [tex]10^{-9[/tex]

475 nm = 475 x  [tex]10^{-9[/tex] m

The light beam's wavelength in meters is 475 x  [tex]10^{-9[/tex] m.

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How will an acetyl functional group behave when placed in an aqueous environment?

Answers

How will an acetyl functional group behave when placed in an aqueous environment it will become negatively charged O.

What is aqueous environment?

In an aqueous environment, dissolved organic macromolecules that quickly adsorb from the liquid phase will bias a substratum, an inert support surface, in a certain direction. Through a number of different transport processes, bacterial cells in the fluid make contact with the substrate. After reaching the substratum, the cells can adsorb either irreversibly or reversibly.

Adherent cells release extracellular polymers that help them stick tenaciously to the substrate, provided they spend enough time there. Substrates are transported to and within the biofilm, including oxygen, carbon, and nitrogen sources. Attached cells make more insoluble extracellular polymers, primarily polysaccharides, and metabolize the available carbon and energy substrates. They also grow, duplicate, and use electron acceptors as they expand and replicate.

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if all of this coal is burned how much co2 will be emitted into the atmosphere? how much will this increase the co2 content of the atmoshphere in ppm?

Answers

coal is burned and co₂ are going to be emitted into the atmosphere is  per unit of energy output

What is ppm?

PPM, or parts per million, is that the most effective way to express the level of performance or chemical concentration in a bigger mixture. this might be used to describe the components of water, the faulty rate of a provider, etc. Being a ratio of two quantities of the identical unit, it's theoretically a dimensionless measure that is represented as a percentage and is better suited to representing lesser concentrations of chemicals in gases, liquids, or solids.

Reason to support answer:

When a coal is burned, it releases a specific amount of carbon dioxide (CO₂) in relation to the energy it produces. Compare the number of CO₂ released per unit of energy output or heat content to compare emissions across fuels.

How much CO₂ is emitted when coal is burned?

When coal is burned, the carbon within the coal combines with oxygen to form carbon dioxide. One molecule of CO₂ is 3.67 times heavier than a molecule of carbon, thanks to the additional weight of the two oxygen atoms. Coal isn't 100 percent carbon: burning a pound of coal emits 2.07 pounds of CO₂

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Which postulate of john dalton's atomic theory was quickly proved wrong by jj thomson and robert millikan?

Answers

The postulate oh John Dalton's atomic theory that was quickly proved wrong by JJ Thomson and Robert Mullikan was that atoms are indivisible.

Dalton was the first scientist to give a theory about atoms in which he gave several postulates like

1) Atoms of same particles are identical in shape, size and color.

2) Atom is the smallest unit of any matter.

3) Atoms can neither be created nor be destroyed.

4) Atoms of different elements combine with each other in fixed number or ratios to give new molecules.

Although Dalton's model initially got much appreciation but one postulate that is atoms is the smallest unit of any matter which means atoms are indivisible was proved wrong by JJ Thomson through his discovery of of electrons and by Robert Millikan through his discovery of the elementary charge of an electron.

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the radioactive element​ carbon-14 has a​ half-life of 5750 years. a scientist determined that the bones from a mastodon had lost ​% of their​ carbon-14. how old were the bones at the time they were​ discovered?

Answers

The bones are approximately 7539 years old.

Exponential Decay :

A radioactive substance follows the model of exponential decay. This is the model that predicts the half-life of substances. It is given by the following exponential equation.

[tex]A = A_{0}e^{-kt}[/tex]

Where

[tex]A_{0}[/tex]     is the initial amount present at the start,

t  is the time, and

k  is the constant that governs the rate of decay. Use this model to solve the age of the bones.

Evaluating the question :

When a radioactive substance reaches its half-life, half its original amount will be decayed away due to radiation. Using the exponential decay model,

                                              [tex]A = A_{0} e^{-kt}[/tex]

substitute [tex]A = \frac{1}{2} A_{0}[/tex],   and the half-life of the element to determine k completing the full model of the decay.

                                     [tex]\frac{1}{2}A_{0} = A_{0} e^{- 5750k}[/tex]

The first thing to do, is to divide both sides with [tex]A_{0}[/tex]

                                       [tex]\frac{\frac{1}{2}A_{0} }{A_{0} } = \frac{A_{0}e^{-kt} }{A_{0} } \\ \frac{1}{2} = e^{-5750k}[/tex]

Now, take the natural logarithm of both sides of the equation.

                                        [tex]ln(\frac{1}{2}) = ln e^{-5750k}[/tex]

                                       [tex]ln(\frac{1}{2}) = -5750k[/tex]

Divide both sides of the equation with  −5750, then evaluate using a logarithm table or a calculator.

                                  [tex]k = 1.2054734[/tex]× [tex]10^{-4}[/tex]

Now, that the constant is determined, this means the exponential decay of the radioactive substance is modeled by the following equation.

                                   [tex]A = A_{0} e^{- 1.2054734 * 10^{-4} }[/tex]

The bones that were found lost 59.7% of the carbon-14 originally present. Using symbols, this can be written as,

                                           [tex]A = A_{0} - 59.7%\\\\A = A_{0} ( 1 - 0.597)\\\\A = 0.403A_{0}[/tex]

This means that only 40.3 %  of the radioactive substance remained. Substitute this to the mathematical model above, then solve for the time in years.

                               [tex]0.403A_{0} = A_{0} e^{-1.2054734 *10^{-4} }[/tex]

Now, take the natural logarithm of both sides of the equation.

                                      [tex]ln0.403 = -1.2054734 *10^{-4} t[/tex]

Now, solve for t by dividing both sides of the equation with −1.2054734 ×

[tex]10 ^{-4}[/tex]

Evaluate using a logarithm table or a calculator.t = 7539.10 years

Therefore, the bones are approximately 7539  years old.

Half life of radioactive element :

The half-life of a radioactive isotope is that the amount of time it takes for one-half of the radioactive isotope to decay. The half-life of a selected radioactive isotope is constant; it is unaffected by conditions and is independent of the initial amount of that isotope

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hydrogen gas (h2) and water (h2o) are both molecules but are not both compounds. draw a model to help support your answer.

Answers

Answer:

The answer is the atoms of the reactants have combined to form a new substance. Every product of a chemical equation has to be a new substance. If their is no new substance then, a chemical change never occurred and there is no chemical equation. The new substance never has the same properties as the reactants. That's why they call it a "new" substance. Also, the atoms are the ones that combine. They are not mixed

To determine the molar mass of an unknown from the freezing point depression, the freezing points of both the pure solvent and the solution need to be measured true or false?.

Answers

The statement is true to determine the molar mass of an unknown from the freezing point depression, the freezing points of both the pure solvent and the solution need to be measured.

What is freezing point depression?

The freezing point depression is defined as a drop in the temperature at which the substance freezes, caused when a small amount of another, non volatile substance is added.

It is a colligative property of a solution that is generally proportional to the molality of the added solute.

The freezing point of a solution are lower than that of pure solvent and is directly proportional to the molality.

Thus, the statement is true to determine the molar mass of an unknown from the freezing point depression, the freezing points of both the pure solvent and the solution need to be measured.

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how many water (h2o) molecules are in a block of ice that has a mass of 59.5 g? how many atoms of hydrogen are present in this block?

Answers

Block of ice of mass 59.5g contains 19.87 ×10²³molecules and 39.75×10²³ atoms.

Molecular mass of Water is 18g/mol

No. of moles = Given mass /Molecular mass

No. of moles of water = 59.5/18 (Given, mass of block of ice is 59.5g)

                                    = 3.3moles.

1mol of water contains 6.023×10²³ molecules of water.

Then,3.3 moles of water contains ,

3.3×  6.023×10²³= 19.87 ×10²³molecules.

1mol of water (H₂O) contains,2×  6.023×10²³ atoms of hydrogen

Then, 3.3 moles of water contains,

2×3.3×  6.023×10²³ = 39.75×10²³ atoms of hydrogen.

Thus, the molecules and atoms present in the block of ice of mass 59.5g is 19.87 ×10²³molecules and 39.75×10²³ atoms respectively.

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What is the concentration of an aniline solution (c6h5nh2, kb = 3.8 x 10-10) that has a ph of 8.76?

Answers

It is a  5.76 m aniline solution .

Mass of the solution = 0.17m

Kb for C6H5NH2 = 3.8 x 10^-10

We know Ka for C6H5NH2 = 1.78x10^-11

 We have Kw = Ka x Kb => Ka = Kw / Kb

 => (C2H5NH2)(H3O^+)/(C2H5NH3^+) => 1.78x10^-11 = K^2 / 0.17

K^2 = 3 x 10^-12 => K = 1.73 x 10^-6.

pH = -log(Kw(H3O^+)) = -log(1.73 x 10^-6) = 5.76

What is aniline solution?

Organic substance aniline has the chemical formula C6H5NH2. The simplest aromatic amine is aniline, which consists of an amino group joined to a phenyl group. It is an important commodity chemical for industry and a flexible starting point for the synthesis of fine chemicals. The production of colors, industrial chemicals, and precursors to polyurethane are its principal uses. It smells like rotting fish, just like the majority of volatile amines. It easily ignites and burns with the smoky flame that is typical of aromatic chemicals.

In comparison to benzene, it has more electrons. As a result, it takes part in electrophilic aromatic substitution processes more quickly. It is also susceptible to oxidation; fresh aniline is a nearly colorless oil, but exposure to air causes it to gradually turn yellow or red.

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A 1 kg object is attached to a spring with a spring constant of k = 32 n/m. it is pulled 0.25 m from its equilibrium position and released. find the maximum kinetic energy of the object.

Answers

The maximum kinetic energy of the object of 1kg attached to spring with spring constant k = 32n/m is 1.085 J.

The formula to find energy is

E = 1/2 k x^2

  = 1/2 × 32 × (0.25)^2

  = 1/2 × 32 ×  0.062

  = 1.085 J

What is kinetic energy?

Kinetic energy is the energy that an object has as a result of motion. It is defined as the effort required to accelerate a mass-determined body from rest to the indicated velocity.

The energy that an item or particle possesses as a result of its movement is known as kinetic energy. When an item undergoes work—the transfer of energy—by being subjected to a net force, it accelerates and consequently obtains kinetic energy.

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the reaction of 1-bromobutane with sodium hydroxide affords the substitution product 1-butanol. what would happen to the rate of the reaction if the concentration of both 1-bromobutane and sodium hydroxide were doubled?

Answers

The reaction of 1-bromobutane with sodium hydroxide affords the substitution product 1-butanol the rate increases by a factor of 4.

Option D is correct

Sodium hydroxide: What is it?

The homogeneous function idea was developed first for functions with numerous real variables. The concept of vector spaces, which was initially introduced at the end of the 19th century, has naturally been expanded to include functions between vector spaces as a tuple of variable values may be thought of as a coordinate vector.

Usually, there are two definitions used. The general one is applicable to vector spaces across all fields and only enables degrees of homogeneity with integer values.

The second is made to function on an ordered field or, more broadly, a field of real numbers.

Question is incomplete , missing part is given below :

The reaction of bromoethane with sodium acetate affords the substitution product methyl acetate. What is the effect of doubling the concentration of sodium acetate on the rate of the reaction?

A) The rate remains the same. C) The rate increases by a factor of 2.

B) The rate decreases by a factor of 2. D) The rate increases by a factor of 4.

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in a capillary, pc is 30 mm hg, pi is -2 mm hg, πc is 25 mm hg, and πi is 2 mm hg. if filtration coefficient (kf) is 0.5 ml/min/mmhg, what is the rate of water flow across the capillary wall

Answers

Net filtration would be reduced if the osmotic pressure in the glomerular capillaries rose from 28 mm hg to 35 mm hg.

What is osmotic pressure?

Pressure in the glomerular capillary   69 mmHg

Pressure in the capsular space  15mm Hg

The colloid osmotic pressure  30 mm Hg

Also no  plasma proteins are filtered by the glomerulus

In this scenario -

Net filtration pressure is equal to

Pressure in the glomerular capillary  Pressure in the capsular space colloid osmotic pressure

Substituting the given values in above equation, we get -

69-30-15

24 mm Hg

The osmotic pressure is the least amount of pressure that must be applied to a solution in order to block the passage of the solution's pure solvent through a semipermeable membrane. It can alternatively be described as a measurement of a solution's propensity to osmotically absorb a pure solvent. The highest osmotic pressure that may form in a solution if it were cut off from its pure solvent by a semipermeable membrane is known as the potential osmotic pressure.

When two solutions with various solute concentrations are separated by a selectively permeable membrane, osmosis takes place.

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