Choose the isotope in each pair that can be used in radiometric dating. Then, explain how you made your selection. (Hint: you'll need a version of the periodic table of elements that includes each element's atomic weight.)
Potassium-41, Potassium-39

Chlorine-35, Chlorine-36

Iodine-129, Iodine-127

Answers

Answer 1

The two isotopes that can be used for the process of dating are Potassium-41, Potassium-39.

What is radiometric dating?

The term radiometric dating has to do with the process by which the age of a rock can be discovered. We know that rocks that are around us have been around for very many years. As a matter of fact, there are some of the rocks that could be regarded as being as old as the earth could be in itself.

We have to note that one of things that could be regarded as important in the use of any isotope for dating is that isotope must have a long half life. The fact that the isotope has a long half life means that it is able to remain long enough for it to be used in the study of a substance.

We know that most of the rocks are composed of potassium as part of the components of the rock. In that case, if a dating technique would involve the potassium atom then it is likely to be a successful one as it were.

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Related Questions

waste water treatment often has at least one oxidation-reduction step. in the collection of waste water, chlorine can be added to control corrosion by hydrogen sulfide to give sulfur and chloride ions. what is the balanced equation for the reaction that occurs in this step? include physical states in your answer.

Answers

The balanced reaction equation for this redox reaction looks like this:

H₂S(aq) + Cl₂(g) → S(s) + 2HCl(aq)

First, we write what we know about the reaction:

Hydrogen sulfide (H₂S) that is dissolved in the wastewater (so the physical state is (aq)) is reacting with gaseous chlorine (so Cl₂(g)) to form sulfur (which is solid at room temperature, and does not dissolve in water, so S(g)) and chloride ions (Cl⁻). To counter their negative charge, we add the hydrogen from H₂S to chlorides, which results in HCl, which is soluble in water, so the physical state is (aq):

H₂S(aq) + Cl₂(g) → S(s) + HCl(aq)

When we look at this equation we can see that it is not balanced, because we have 2 H atoms and 2 Cl atoms on the left, and only 1 of both on the right. The easiest way to rectify this is to add "2" in front of HCl, resulting in a balanced reaction equation:

H₂S(aq) + Cl₂(g) → S(s) + 2HCl(aq)

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Which of the following provides the best evidence that organ systems in the human body interact with one another

Answers

The best evidence that organ systems in the human body interact with one another is shivering in response to sensing in the cold environment

Organ system is the group of tissue that work together for the overall function of organ and also organ system is the group of organ that work together to perform a specific function and the human organ consist of eleven organ system and that is respiratory, execratory, circulatory, digestive etc and the best evidence that organ systems in the human body interact with one another is shivering in response to sensing in the cold environment because when your muscle and skeletal system are working to help your body increase heat when shivering

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which of the following statement(s) is/are true about chemical kinetics? group of answer choices chemical kinetics shows the transfer of energy in the form of heat and/or work. chemical kinetics is the branch of physical chemistry that is concerned with the direction in which a process occurs but in itself tells nothing about its rate. a reaction rate law must match the coefficients in the balanced chemical equation reaction rate can be defined as the decrease in the concentrations of reactants with time. chemical kinetics is the study of the rates of reactions.

Answers

The following two statements are true about chemical kinetics.

1. Chemical  kinetics is the study of the rate of reactions.
2. A reaction rate can be defined as the decrease in the concentrations of reactants with time.

Chemical kinetics deals with the study of rate of chemical reactions. Rate of reaction is defined as  the measure of the change in concentration of the reactants or the change in concentration of the products per unit time.

The reaction rates decrease with time because reactant concentrations decrease as reactants are converted to products. The rate decreases as the reaction proceeds.

               A→B

A= reactant        rate of reaction =-[tex]\frac{d[A]}{dt}[/tex]

B=product          rate of reaction=+[tex]\frac{d[B]}{dt}[/tex]

This means that the concentration of 'A' decrease  with respect to time. It can also be noted by measuring the increase in the Concentration of B with the passage of time.

Negative sign indicates the conc. of reactants decreases with time

Positive sign indicates that conc. of product increases with the passage of time .Remember rate of reaction always positive.

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unit 3 balancing lab chemistry
HELP PLEASEEEEEEE
1. zn___AgCI->___ZnCI2+___Ag
2. FeCI3+___H2s->___FeCI2+___HCI+___s
3. ___Ag2O->___Ag+___O2
4.AI2O3->___AI+___O2
5.K+___H2O->___KOH+___H2
6. Caco3->___CaO+___CO2
7. MG+___O2->Mgo
8. CO+___Fe2O3->___Fe+___CO2
9. H2+___Fe2O3->___Fe+___H2O
10. ___HCI+ZN->___H2+___ZnCI2

Answers

zn + 2 AgCI-> ZnCI2+ 2Ag

2 FeCI3+ 3 H2s->___FeCI2+ 6 HCI+___s

2 Ag2O-> 4 Ag+ O2

4AI2O3-> 3 AI+ 2O2

2 K+ 2H2O-> 2 KOH+ H2

Caco3-> CaO+ CO2

2 MG+ O2-> 2MgO

CO+ 3 Fe2O3-> 2 Fe+ 3CO2

2 H2+ 3 Fe2O3-> Fe+ 3H2O

HCI+ 2 ZN-> H2+ ZnCI2

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9. running a strong enough electric current through water will cause it to decompose into hydrogen and oxygen gas. write the balanced chemical equation for this process. what is being oxidized, and what is being reduced?

Answers

Answer:

Explanation: when electric current is passed through water, water dissociates into hydrogen and oxygen. Hydrogen is deposited over negative pole and oxygen is deposited over positive pole. Deposition of hydrogen and oxygen at different poles is visible in the form of bubbles.

which is the correct answer

Answers

Answer C I think

Explanation:

please help

could you measure the volume of an object with a cube shape using the overflow can explain your answer.

Answers

The volume of this cube-shaped area can be calculated by multiplying its length, width, and height i.e. length x width x height.

What is volume?

Volume is defined as the area that any three-dimensional solid takes up. The shapes of these solids include cubes, cuboids, cones, cylinders, and spheres.

The cubic meter serves as its equivalent in the International System of Units. Given that it can be computed using lengths, it is not regarded as a fundamental unit of the SI. The liter is the most widely used measurement.

The cube's volume is equal to the edge's length raised by three.

Thus, the volume of this cube-shaped area can be calculated by multiplying its length, width, and height i.e. length x width x height.

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n the laboratory you dilute 4.49 ml of a concentrated 12.0 m nitric acid solution to a total volume of 150 ml. what is the concentration of the dilute solution?

Answers

The concentration of the dilute solution is 0.3592 M.

Concentration, or the amount of solute in a solution, can either be expressed in molarity, M, moles of solute per liter of solution, or molality, m, moles of solute per kilogram of solution.

If the concentrated nitric acid solution is 12.0 M, then there are 12.0 moles nitric acid per liter of solution.

For a 4.49 ml of a concentrated 12.0 M nitric acid solution, the number of moles is 0.05388.

M = moles of solute / volume of solution

moles = 12.0 M(4.49 ml)(1 L / 1000 ml)

moles = 0.05388 moles nitric acid

If the total volume is 150 ml, then the concentration of the diluted solution is

M = moles of solute / volume of solution

M = 0.05388 moles nitric acid / 150 mL (1 L / 1000 ml)

M = 0.3592

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which of these is not a product of the nuclear reactions inside the sun known as the proton-proton chain? helium nuclei polycyclic aromatic hydrocarbon molecules antimatter (positrons) neutrinos

Answers

The fusion of hydrogen nuclei into helium nuclei in the solar core is how the Sun obtains its energy. The proton-proton chain, a series of nuclear fusion processes, describes this hydrogen burning.

Protons, which are just single hydrogen atoms, are the starting point of this process inside the sun. Through a series of stages, these protons fuse together to form helium. This fusion process takes place in the sun's core, and the energy released as a result of transmutation maintains the sun's hot.

A deuterium (2H) nucleus is created from two protons in the first step of the hydrogen fusion process, along with an antielectron and a neutrino.

Four hydrogen protons and two electrons are used in the basic hydrogen fusion cycle, which results in the creation of a helium nucleus, two neutrinos, and six photons.

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What do all waves have in common?
you can always see them
They carry energy
They absorb light
They do not carry energy

Answers

''They carry energy''. is the right statement about waves.

What are a wave and its types?

A wave is defined as a disturbance in a medium that carries energy without any movement of particles. It may take elastic deformation, a variation of pressure, electric intensity, magnetic intensity, electric potential, and temperature. There are three types of waves i.e. matter waves, mechanical waves, and electromagnetic waves.

All types of waves have the same basic properties of reflection, refraction, diffraction, and interference. All waves have a wavelength, frequency, speed, and amplitude. A wave can be explained by its length, amplitude, and frequency. All waves transfer energy from one place to another, they can also be reflected as well as refracted.

So we can conclude that option A is the right answer about the waves.

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8. a small cylinder of helium gas for filling balloons has a volume of 2.30 l and a pressure of 1850 atm at 25oc. how many balloons can you fill if each one has a volume of 1.5 l and a pressure of 1.25 atm at 25oc?

Answers

A total of 2269 balloons of 1.5 Liters volume and 1.25 atm pressure can be filled from the cylinder of volume 2.3 Liters and 1850 atm pressure.

The volume of the Helium gas is 2.3L and the pressure is 1850 atm at 25° Celsius.

The smaller balloons that has to be filled are of volume 1.5 L at the pressure 1.25atm at the same temperature of 25° C.

Because the temperature is conserved, so, according to Boyle's law,

When temperature is constant, the pressure and volume of the gas are inversely proportional to each other.

we can write,

P₁V₁ = P₂V₂

Let us say that a total n numbers of smaller balloons can be filled, so,

P₁V₁ = n(P₂V₂)

Where,

P₁ is pressure of bigger balloon,

V₁ is the volume of the bigger balloon,

P₂ is the pressure of the smaller balloon and,

V₂ is the volume of the smaller balloon.

Now, putting all the values,

2.30 x 1850 = n(1.5 x 1.25)

n = 2269

So, a total 2269 balloons can be filled from the bigger balloon to the smaller balloons.

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The Earth's crust is part of which sphere?


Responses


biosphere


biosphere


atmosphere


atmosphere


hydrosphere


hydrosphere


lithosphere i need help asap

Answers

Answer:
Lithosphere

Explanation:
Lithosphere represents land and is also the part of the the earth's crust that surrounds the hot molten surface or core area.

what is periodic table ​

Answers

Answer:

the periodic table is the table of contents of the elements

Use the chemical equation to complete the activity. 4Fe + 3O2 → 2Fe2O3 Iron (Fe) reacts with oxygen (O2) to form iron oxide. A scientist adds 15.4 grams of Fe to 3.6 grams of O2 to start the reaction. All of the iron and oxygen react to form iron oxide. Explain in detail how you can determine how many grams of iron oxide will be produced.

Answers

The mass of the iron oxide produced in the given chemical reaction is equal to 27.04 grams.

What is the limiting reagent?

The limiting reagent in a chemical reaction can be described as that reactant that will decide the amount of the yield of the product. The reactant consumed first will confirm the completion of the reaction if the reactants are not taken in stoichiometry.

Given the chemical reaction of the formation of iron oxide:

4Fe   +    3O₂    →    2Fe₂O₃

Given the mass of the iron = 15.4 grams

The moles of the iron = 15.4/56 = 0.275 mol

The mass of the oxygen gas = 3.6 grams

The moles of the oxygen gas = 3.6 /32 = 0.1125 mol

From the chemical equation, 4 moles of the Fe react with oxygen = 3 mol

Then 0.275 mol of the Fe will react with oxygen = 3/4 × 0.275 = 0.206 mol

Therefore, oxygen is the limiting reagent here.

The 3 mols of oxygen produced iron oxide = 2 mol

0.1124 mol of oxygen will produce iron oxide = (2/3) × 0.1125 = 27.04 g

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1. a. What is work? Write its SI unit and the factors affecting work​

Answers

Work done is said to be positive if displacement of the object is along the direction of force applied. It is a scalar quantity and the S.I unit of work done = joules. The work done on an object is directly proportional to the force on the object, the displacement of the object, and the cosine of the angle between the force and the displacement. The equation for work is:
W=Fd*cos0

When a hydrogen atom is covalently bonded to either oxygen, , or fluorine there will be an attraction between that hydrogen and a lone pair of on a nitrogen, oxygen, or fluorine atom on an adjacent molecule. This attraction is called a bond.

Answers

Answer:

The attraction is a hydrogen bonding.

Explanation:

Based on the information on intermolecular forces, when a Hydrogen is specifically bonded with a Nitrogen, Oxygen or Fluorine, their bonding is called a hydrogen bond.

7. if 45.52 ml of a potassium permanganate solution is needed to titrate 2.145 g of iron(ii) ammonium sulfate hexahydrate, calculate the molarity of the kmno4 solution.

Answers

The molarity of a solution is calculated from the number of moles of solute and the volume of solution in liters. The molarity of potassium permanganate solution 2.145 g of  iron(ii) ammonium sulfate hexahydrate is 0.121 M.

What is molarity ?

Molarity is used to represent the concentration of a solution. It is the ratio of number of moles of solute to the volume of solution in litres. Molarity depends on the temperature also.

The number of moles of a solute can be calculated from the molar mass and taken weight of the solute.

The molar mass of  iron(ii) ammonium sulfate hexahydrate = 392.1 g/mol

Taken weight of solute = 2.145 g.

Therefore, the number of moles of  iron(ii) ammonium sulfate hexahydrate = 2.145 / 392.1

                     = 0.0054 moles.

Now, the molarity of the solution is calculated as follows:

Molarity of  solution  =( no.of moles of  iron(ii) ammonium sulfate hexahydrate ) / volume

                                    = 0.0054 /0.045 L

                                    = 0.121 M

Hence, The molarity of potassium permanganate solution 2.145 g of  iron(ii) ammonium sulfate hexahydrate is 0.121 M.

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Continental crust layer of blank which forms the blank

Answers

The first time you have a chance at the top is the second one you get a free pass and you can go on your way back and then go to

preform the mathematical operation and then write the answer to the correct number of significant figures.

a) 100g + 10g

b) 903cm x 10cm

c) 0.6030 cm(2) ÷ 0.1cm

d) 9.5 mm + 0.083 mm

e) 430.0 mL - 10.2111 mL

f) 762.4 m + 3.2m + 1.21m

Answers

Preform the mathematical operation and then write the answer to the correct number of significant figures.

a) 110 g

b) 9030 cm

c) 6.0 cm

d)9.6 mm

e) 419.8 mL

f) 766.8 m

a) 100 g + 10 g = 110g

b) 903 cm × 10 cm = 9030 cm

c) 0.6030 cm² / 0.1 cm = 6.0 cm

here lowest significant is = 0.1 , so ans will round off till first decimal.

d) 9.5 mm + 0.083 mm = 9.583 mm = 9.6 mm

e) 430.0 mL -10.2111 mL = 419.8 mL

f) 762.4 m + 3.2 m + 1.21 m = 766.8 m

here the lowest significant figure = 3.2 , so the ans will be round off to first decimal figure.

Thus, preform the mathematical operation and then write the answer to the correct number of significant figures.

a) 110 g

b) 9030 cm

c) 6.0 cm

d)9.6 mm

e) 419.8 mL

f) 766.8 m

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When you put aspirated spinach leaf disks in a beaker of sodium bicarbonate and place them in different colors of light, some disks float faster & more abundantly than others dependent on what color, if any, they were in. What made them able to float?.

Answers

The release of O₂( oxygen) from the process of photosynthesis is what made them to be able to float.

What is Photosynthesis?

This is referred to as the process in which green plants manufacture their food in the presence of sunlight which is trapped by chlorophyll.They are known as primary producers and they use compounds such as water and carbondioxide.

The reactants mentioned above undergo series of reactions which leads to the production of glucose and oxygen is given off as a result which is the element responsible for the floating of the aspirated spinach leaf disks in this scenario.

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elemental sulfur can be converted to sulfur trioxide by reaction with oxygen in the presence of a catalyst. upon addition of water, sulfuric acid is produced as represented by the equation: s8 12 o2 8 h2o 8 h2so4 what minimum mass of sulfur , in grams, is needed to prepare 17.5 g of h2so4? (give the number with one digit after decimal point; no units)

Answers

The minimum mass of  sulphur , in grams, needed to prepare 17.5 g of [tex]H_{2} So_{4}[/tex]is 53.5 gram

The molecular mass of eight molecules of sulphuric acid is 784 grams.

So 256 grams of sulphur makes 784 grams of sulphuric acid

That means 17.5 grams of sulphur can give

[tex]\frac{784}{256}[/tex] ×17.5 grams of sulphuric acid

And by solving this we get 53.5 grams.

That's how we determined the required grams of sulphur in grams.

The mass of a given molecule is its molecular mass (m), which is expressed in daltons. Because they contain various isotopes of an element, different molecules of the same compound can have distinct molecular masses. According to IUPAC, the related quantity relative molecular mass is a unitless comparison between the mass of a molecule and the unified atomic mass unit (also called the dalton).

The molar mass, which is expressed in g/mol, is defined as the mass of a given substance divided by the amount of a substance. That makes the molar mass an average of many particles or molecules, and the molecular mass the mass of one specific particle or molecule.

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why was it important to use a volumetric pipette and volumetric flasks (instead of some other glassware, for example, a graduated cylinder, etc.) for the preparation of all solutions in this procedure?

Answers

It is important to use a volumetric pipette and volumetric flasks  because they are marked with one trace, they are calibrated and there are very less chance of error in them.

The percentage error of volumetric flask is very low at 0.3%. Volumetric pipette and volumetric flasks are specially designed to give accurate measurements of liquids and make them suitable for preparing standard solutions.

The volumetric pipette has a long and narrow neck which makes it easier to measure.      

Graduated cylinders are more accurate then beakers. However they are not used to carry volumetric evaluations for this purpose volumetric tools like flasks and pipettes are used because they are more accurate and exact.

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A certain atom contains 53 protons, 78 neutrons, and 54 electrons. What is the mass number of this atom?.

Answers

The mass number of this atom having 53 protons, 78 neutrons, and 54 electrons will be 131.

In the field of science, we can describe a mass number of an atom as simply a measure of the protons and neutrons that are to be found in the nucleus of an atom. In chemistry, the mass number is denoted by the letter 'A'.

In the above-mentioned case, the number of protons of the atom is 53 whereas the number of neutrons is 78.

In order to calculate the mass number, we will add the number of protons and neutrons. As the result of the addition of 53+78 is 131 hence, the mass number will be 131.

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which statement about matter is true? responses matter is anything that is made of atoms and that has mass. matter is anything that is made of atoms and that has mass. matter is a compound. matter is a compound. matter is anything that is made of organic substances and is found on the earth. matter is anything that is made of organic substances and is found on the earth. matter is an element.

Answers

The true statement about Matter is that matter is anything that is made up of atoms and that has mass.

Matter is anything which is made up of mass and that has mass. and that occupies space.

If we talk about space, there is no matter because there is nothing but vacuum.

Matter is a general terms given to a group of atoms or molecules which are taken in a general.

We all are made up of atoms, because we al have mass and we all occupy some space. The same goes to anything that we can see or touch or feel that it exist.

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Answer: Matter is anything that is made of atoms and that has mass.

Explanation: I took the test.

Which list consists of elements that have the most similar chemical properties?


a) Cu, Zn, Fe

b) K, Ca, Br

c) Mg, Al, Si

d) Cs, Na, K

Answers

The list that consists of elements that have the most similar chemical properties is caesium, sodium and potassium (option D).

What is the periodic table?

Periodic table is the tabular chart of the chemical elements according to their atomic numbers so that elements with similar properties are in the same group (column).

The periodic table is made up of chemical elements arranged in groups and periods. Chemical elements in the same group possess similar chemical properties.

According to this question, the following elements are in the same group 1:

Caesium is a chemical element (symbol Cs) with an atomic number of 55. It is a soft, gold-colored, highly reactive alkali metal. Sodium is a chemical element (symbol Na) with an atomic number of 11 and atomic weight of 22.98977.Pottasium is an element (symbol K) with an atomic number of 19 and atomic weight of 39.0983.

Therefore, Cs, K and Na will have the most similar chemical properties because they belong to the same group.

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A student mixes 5.0 g of a sodium bicarbonate solution with 6.0 g of a potassium aluminum sulfate solution in a sealed container. A white, solid precipitate is formed. What is the total mass after the reaction has taken place?More than 11.0 gLess than 11.0 g11.0 gNot enough information

Answers

First, we have to remember the law of conservation of matter:

"The matter can not be created nor destroyed. It can only be transformed".

Then, the answer, in theory, has to be 11.0 g, that is the addition of 5.0 g and 6.0 g.

problems of using ionic compound and covalent compound in industry​

Answers

Answer:

Problems of Using Ionic and Covalent Compounds in Medicine

Stomach pain.

Nausea.

Vomiting.

Heartburn.

Gas.

Constipation.

Diarrhea.

what is the heat of a reaction, in joules, with a total reaction mixture volume of 67.9 ml if the reaction causes a temperature change of 6.5 oc in a calorimeter? assume that the reaction mixture has a density of 1.00 g/ml and a specific heat of 4.184 j/g-oc. the calorimeter has a heat capacity of 10.0 j/oc.

Answers

The heat of reaction is  1.8 KJ. A calorimeter is a device used in calorimetry, a procedure for calculating heat capacity and measuring the heat of chemical processes or other physical changes.

How to calculate calorimeter?A calorimeter is a device used in calorimetry, a procedure for calculating heat capacity and measuring the heat of chemical processes or other physical changes. Among the most popular kinds are differential scanning calorimeters, isothermal micro calorimeters, titration calorimeters, and accelerated rate calorimeters. Calorimeter, a tool for estimating a material's heat capacity and measuring the heat produced during a mechanical, electrical, or chemical reaction. bomb thermometer.

Volume of water = 67.9 mL

Since the density of water is 1.00 g/mL

Density = mass/volume

Mass of water = Density × volume

Mass of water =  1 g/mL × 67.9 mL

Mass of water = 67.9g or 0.0679 Kg

Temperature change =  6.5 oC

Specific heat capacity of water= 4.184 J/Kg

From;

H = mcθ

m = mass of water

c = heat capacity of water

θ = temperature rise

Substituting values;

H = 0.0679 Kg × 4.184 J/Kg × 6.5 oC

H = 1.8 KJ

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according to laplace's law: group of answer choices should remain inflated because the pressure inside of the alveoli is greater than atmospheric pressure should remain in a stable state should increase gas exchange during inhalation

Answers

According to Laplace's law lungs should remain inflated because the pressure inside of the alveoli is greater than atmospheric pressure.

According to this law of Laplace, if the radius of the blood vessel is larger than the wall tension required will be larger in order to withstand or overcome the pressure which is exerted by internal fluids or gases.

The alveoli are to remain inflated as the gaseous pressure which is developed inside the alveoli is greater than the pressure of atmosphere.

When the blood vessel thickens or its thickness increases, it will result in the reduction of the tension developed by the gas at a given constant pressure.

It was published in a research paper that according to law of Laplace, lung should remain inflated because air pressure in alveoli is more than the pressure of the atmosphere.

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a factory has a batch of hand sanitizer with 50\pp, percent alcohol content. how much pure (100\00, percent concentration) alcohol should they include in a 600\,\text{ml}600 ml 600, start text, m, l, end text bottle to make a 68\hh, percent mixture?

Answers

Using the percentage by volume of the solutions given, we can calculate that we require 216 mL of 100% alcohol and 384 mL of 50% alcohol.

The percentages given refer to the percentage by volume (%V). We need to make 600 mL of 68% alcohol solution, by mixing a certain volume of 50% solution (A) and a certain volume of 100% alcohol (B). So, we know that:

A + B = 600 mL

We also know that the total volume of alcohol in the end solution needs to be:

0.68 * 600 mL = 408 mL

So, by extension:

0.50 * A + B = 408 mL

Based on the first equation, we can say that:

A = 600 mL - B

If we use that A in the second equation we get:

0.50 * (600 mL - B) + B = 408 mL

300 mL - 0.50 B + B = 408 mL

If we rearrange this equation we get:

B - 0.50 * B = 408 mL - 300 mL

0.50 * B = 108 mL

B = 108 mL / 0.50

B = 216 mL

A = 600 mL - 216 mL = 384 mL

So, we need 216 mL of 100% alcohol and 384 mL of 50% alcohol solution to get 600 mL of 68% alcohol solution.

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Answer:216 ml

Explanation: I got it right

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5|x +1| + 7 = -38Solve for x What are benefits to resistance training? The following graph shows a proportional relationship.What is the constant of proportionality between y and x in the graph? Today, October 20, 2022, seven friends ate lunch together at Chipotle.Friend #1 eats there every day - including weekends.Friend #2 eats there every other day - including weekendsFriend #3 eats there every third day - including weekendsFriend #4 eats there every fourth day - including weekendsFriend #5 eats there every fifth day - including weekendsFriend #6 eats there every sixth day - including weekendsFriend #7 eats there every seventh day - including weekendsAssuming that none of them catch Covid or miss any days, what will be the date when the friends again all eat lunch together at Chipotle? Write a sine function that has a midline of 4 , an amplitude of 3 and a period of 2/3 1) the owner of a video store has determined that the cost c, in dollars, of operating the store is approximately given by where x is the number of videos rented daily. find the lowest cost to the nearest dollar. a) $400 b) $500 c) $650 d) $550 which process does general electric uses to invite alternative vendors to bid on supplying their required components? segmentation rfp reselling organizational culture Which quote best describes the power the elastic clause of the United States Constitution gives to Congress? A. make rules for the government and regulation of the land and naval forces; B. regulate commerce with foreign nations, and among the several states, and with the Indian tribes; C. make all laws which shall be necessary and proper for carrying into execution the foregoing powers, D. lay and collect taxes, duties, imports and excises, Hi I need help with this thank you! Previous question that may help answer this one : Line of best fit: ^y1=0.02 x+4.68 Curve of best fit: ^y2=0.09 x2+1.09 x+2.83 Section 2 Question 1 Using a curve to make a prediction of the y value for an x value between two existing x values in your data set is called interpolation. Suppose the year is 2005, where x = 5 years: (a) Use the equation for the line of best fit to predict the number of cell phones sold during that year. Round answers to one decimal place and be sure to include the appropriate units. Your Answer: we have the linear equation: y1=-0.02x+4.68Where x is the number of years since the year 2000, y1 ----> is the number of cell phones sold. So for the year 2005, x=2005-2000=5 years.substitute:y1=-0.02(5)+4.68y1=4.58Therefore, the answer is 4.6 cell phones sold.(b) Use the equation for the non-linear curve of best fit to predict the number of cell phones sold during that year. Round answers to one decimal place and be sure to include the appropriate units. Your Answer: We have the equation y2=-0.09x^2+1.09x+2.83For x=5 yearssubstitute:y2=-0.09(5)^2+1.09(5)+2.83y2=6.03Therefore, the answer is 6.0 cell phones sold. Which value of n makes the following equation true?n=4020408O 16 Explain how the American independence movement affected society from 1754 to 1800. The cost of renting a bicycle from Dan's Bike Shop is $2 for 1 hour plus $1 for each additional hour of rental time. Which of the following graphs shows the cost, in dollars, of renting a bicycle from Dan's Bike Shop for 1, 2, 3, and 4 hours? Bicycle Rental Cost Bicycle Rental Cost 7 6 Rental Cost (dollars) Rental Cout (dollars) 2. 1 Hetalia A B. Rental Time Chours) Bicycle Rental Cosi Bicycle Rental 7 7 Rental Cost dollars) 1 Rental Time (hours) Rental Tiene Chours) D. 10 Trouve et corrige les erreurs. a. Elle est suisses. b. Vous punissons les lves. c. Pierre choisis ce jean. d. Il y a des bateaus dans la Seine. i am supposed to find the volume of this pyramid What type of evidence can be pulled from both a computer and a portable device?O ImagesO Text historyO GPS coordinatesO Phone call data Are they inverses?f(x) = 6x - 6, g(x) = 1/6x + 1 I need some help with my math. Consider function f, where B is a real number.f(z) = tan (Bz)Complete the statement describing the transformations to function f as the value of B is changed.As the value of B increases, the period of the functionWhen the value of B is negative, the graph of the functionshyand the frequency of the function x-3/5=x+3/15 pls help i432--5-4-3-2-1(3.1)2 3 45 X(0,-1)What is the equation of the line that is parallel to thegiven line and has an x-intercept of -3?Oy=x+3Oy=x+2Oy=-x+3Oy=-x+2