Synthetic materials are not found in nature and therefore they are typically developed in laboratories.
True
False

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Answer 1

Answer: True

Explanation: Synthetic materials are not found in nature and can be created in labs using chemicals and compounds.


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Help me please!


The pressure of 6.0 L of an ideal gas in a flexible container is decreased to one third of its original pressure and its absolute temperature is decreased by one half. What is the final volume of the gas?

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The final volume of the ideal gas in a flexible container will be 9.0 L.

Let:

'P', 'V', and 'T' be the initial pressure, volume, and temperature of the ideal gas respectively'X' be the final volume of the ideal gas

Ideal-gas Equation establishes a relation between pressures, volumes, and temperatures of different conditions.

Using the Ideal-Gas Equation:

                              PV = nRT

Ideal-Gas Equation for initial conditions will be:

                              PV = nRT.....................................................(i)

Ideal-Gas Equation for final conditions will be:

                              (P/3)X = nR(T/2)........................................(ii)

On dividing equations (i) and (ii):

                             PV = nRT / (P/3)X = nR(T/2)

                             3V/X = 2

                             X = 3V/2

Putting the value of V = 6L:

                             X = 3(6L)/2 = 9L

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do eukaryotic Cells have DNA found in the nucleus. True or false​

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the answer is true, they do have dna found in the nucleus

what is the ph of a strontium hydroxide solution obtained by dissolving 0.17 grams of strontium hydroxide in enough water to obtain 670. ml of solution? insert your answer in decimal notation, rounded to 2 decimal digits.

Answers

The pH of a strontium hydroxide was obtained by dissolving 0.17 grams of strontium hydroxide in enough water to obtain 670. ml of solution is 3.6.

What is pH?

The range of pH goes from 0 to 14, with 7 acting as neutral. A pH value of 7 or less denotes acidity, while a pH value of 7 or more denotes baseness. The amount of free hydrogen and hydroxyl ions present in the solution is what determines the pH of water.

Molarity of strontium hydroxide = mass/volume

Molarity of strontium hydroxide = 0.17/670

Molarity of strontium hydroxide = 0.000253 = 2.53 × 10⁻⁴

pH = - log [strontium hydroxide]

pH = -log [2.53 × 10⁻⁴]

pH = 3.59

pH = 3.6

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problems of using ionic compound and covalent compound in domestic​

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Answer:

Problems of Using Ionic and Covalent Compounds in Medicine

Stomach pain.

Nausea.

Vomiting.

Heartburn.

Gas.

Constipation.

Diarrhea.

help me out please and thank you

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The metals that are able to displace iron sulfate from solution are magnesium and aluminum.

What is the electrochemical series?

The electrochemical series is a series that shows the reactivity of the metals. We must note that the order of the reactivity of the metals depends on the electrode potential of the metal. The metals that have a higher electrode potential would tend to react better and faster.

Also note that, the metals that are higher in the electrochemical series are able to displace the metals that are lower in the series from their aqueous solutions. This implies that if we add a metal to a solution that contains a meta that is lower in the electrochemical series, the lower meta is discharged from solution.

As we can see, when we add each of these metals to the iron sulfate solution, the only time that we would be able to have a reaction is when  we add the aluminum or the magnesium metals.

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key questions 1. what distinguishes each of the four examples in illustrating the methodology? 2. why might it be necessary to put double or even triple bonds between atoms in constructing lewis structures? 3. how does the lewis structure help you identify the length of bonds in a molecule? 4. how is formal charge determined, and how is it used in identifying reasonable lewis structures? 5. in the above examples illustrating the methodology, why are relevant resonant structures - present only in the case of no2 ?

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An atom's Lewis structure enables you to predict its bonding patterns and number of bonds. We may ultimately be able to comprehend the structures of molecules & their chemical characteristics using this information.

2. The stability of the molecule increases with the number of charges on each element. In order to reduce the number of different formal charges, a double or triple bond should be applied.

3. Dots are used in the Lewis structure to depict the shared electrons between atoms. Next, ascertain whether there is a single, triple, or triple covalent connection between the two atoms. Third, determine the radius of each of the bonded ions based on the type of bond by using an atom radius chart.

4. By considering each bond as if one-half of the electrons were allocated to each atom in a Lewis structure, formal charges can be ascribed to each atom. These fictitious formal charges serve as a reference for selecting the best Lewis structure.

5. N-O bond as well as a double bond. The N atom possesses a positive charge and an unpaired electron. They are the two principal resonance sources of NO2.

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The half life for the decay of radium is 1620 years. What is the rate constant for this first-order process?.

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The rate constant of the Decay of Radium with half life of 1620 years is 0.0004277/year.

We know, every radioactive reaction is a first order reaction.

So, it will follow the first order kinetics.

The half life of the radium sample is 1620 years.

We know, the standard formula for the half life of the first order reaction is,

T = 0.693/K

Where,

T is the half life of the reaction,

L is the rate constant of the reaction.

It is given that the half life of the reaction is 1620 years, so, putting all the values,

T = 0.693/K

K = 0.693/1620

K = 0.0004277/year.

So, the rate constant of the decay of radium is 0.0004277/year.

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express Sb in a condensed form in order of increasing orbital energy

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The condensed form of Sb in order of increasing orbital energy is [Kr] 5s² 4d¹⁰ 5p³

Sb (Antimony) is a metalloid with atomic number 51. The electronic configuration of antimony is 1s² 2s²p⁶ 3s²p⁶d¹⁰ 4s²p⁶d¹⁰5s²p³

As you can see, the normal notation of electronic configuration is lengthy. Condensed or abbreviated form of the configuration would be preferred to normal lengthy electronic configuration for representation.

In condensed form, in place of completely filled subshells with configuration that is similar to noble gas is represented by the symbol of that particular inert gas / noble gas. The symbol would be represented inside square brackets.

The electronic configuration of Krypton, a noble gas is 1s² 2s² 2p⁶ 3s² 3p⁶ 3d¹⁰ 4s² 4p⁶.

Therefore, Sb can be expressed in condensed form as [Kr] 5s² 4d¹⁰ 5p³. As observed, 1s² 2s² 2p⁶ 3s² 3p⁶ 3d¹⁰ 4s² 4p⁶ in Sb is expressed as Kr followed by the remaining electronic configuration in Sb in order of increasing orbital energy.

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PLEASE SOMEONE HELP EXPLAIN THIS IT’S DUE FIRST THING TMRW MORNING!!

Determine the empirical formula of a 28.00 gram sample containing 22.90 grams carbon and 5.10 grams hydrogen.

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If a 28.00 gram sample containing 22.90 grams carbon and 5.10 grams hydrogen , then the empirical formula is CH3 .

What is empirical formula ?

The empirical formula, which is defined as the ratio of subscripts of the least whole number of the elements present in the formula, is the simplest formula for a compound. The simplest formula is another name for it.

The formula of a material expressed with the smallest integer subscript is referred to as an empirical formula for a compound.

The empirical formula provides details regarding the ratio of atom counts in the molecule. A compound's % composition directly determines its empirical formula.

Given ,

the mass of the sample of hydrogen and oxygen is 28g .

the mass of carbon in that sample is 22.9g

the mass of hydrogen in that sample is 5.1g

We know ,

the molecular mass of carbon is 12g

thus , 12g of carbon contains 1 mol

22.9g of carbon contains 22.9/12 = 1.9mol

the molecular mass of hydrogen is 1g

1g of hydrogen contains 1mol

5.1g of hydrogen contains 5.1mol

now , the mole ratio of carbon to hydrogen is

= C:H = 1.9/5.1 = 0.37 = 1:3

Hence , the empirical formula is CH3 .

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2. a. In general, how do the periodic properties of
the d-block elements compare with those of
the main-group elements?
b. Explain the comparison made in (a).​​
3. For each main-group element, what is the
relationship between its group number and
the number of valence electrons that the group
members have?

I will give Brainkist

Answers

The d  block elements differ from the main group elements in the nature of the ions that they form. Also, the group number is related to the number of electrons in the valence sell of an atom.

What are the d block elements?

The D block elements are those elements that are found to have d orbitals as the orbitals that has the highest energy in the atom. The d block elements are called the transition metals and they have an incompletely filled d - level.

Owing to the fact that d - level is incompletely filled they do exhibit variable oxidation states and are colored. On the other hand, the main group elements do not exhibit a variable oxidation states and the ions that they form are not colored.

Secondly, for each of the main group elements, the group number shows the number of valence electrons that are present in the outermost shell of the atoms in the elements of the groups.

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N₂(g) + 3H₂(g) 2NH₂(g)

(iv) Name the catalyst used in this industrial process.

Answers

Answer:

I catalyst promoter is the answer

if 250 ml of a 0.0193 m cacl2 solution is prepared, how many moles of cacl2 would 25 ml of this solution contain? a. 0.0193 moles b. 0.00193 moles c. 4.83x10-3 moles d. 4.83x10-4 moles

Answers

25 ml of the solution contains 4.83 x 10⁻⁴ moles of CaCl₂.

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.

The concentration of the CaCl₂ solution is 0.0193 M.

Hence, there are 0.0193 moles of CaCl₂ per liter of the solution.

M = 0.0193 M

volume of solution = 25 ml

Multiply the volume by the concentration to get the number of moles.

M = moles of solute / volume of solution

moles of solute = M (volume of solution)

moles of solute = 0.0193 M(25 ml)(1 L / 1000 ml)

moles of solute = 4.83 x 10⁻⁴

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Explain the difference between the first and second ionization energy of an element.

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The difference between the first and second ionization energy of an element is second ionization energy is larger than first ionization energy.

Ionization energy is the energy required to remove the electron . First ionization energy is the amount of energy required to remove the electron from neutral atom such as M. while second ionization energy is the amount of energy required to remove electron from positively charged ion such as M⁺.

first ionization energy is given as :

M --->   M⁺  +    e⁻    ,  IE1

second ionization energy is given as :

M⁺    ---->    M²⁺    +     e⁻   ,  IE2

Thus,  The difference between the first and second ionization energy of an element is second ionization energy is larger than first ionization energy.

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coal-based power plants have a carbon dioxide emission of around 1,000 gco2eq/kwh. large scale hydropower plants have a carbon dioxide emission of around 30 gco2eq/kwh. rutgers university average power requirements is 20mw. what is the monthly (30 days) carbon dioxide emission reduction if the source of electricity is hydropower plant instead of coal-based generation?

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In Niger State, Nigeria, there is a deposit of clay similar to kaolin that has a lot of promise for use in pollution control processes including wastewater treatment.

This study looks into the ideal settings for Kpautagi clay modification for use in treating the effluent from refineries. The clay was modified using sulphuric acid, and the modification factors taken into account were acid concentration, activation time, and temperature.

The sulphuric acid-modified Kpautagi clay was used in the treatment of refinery wastewater in column mode at a fixed flow rate and mass of adsorbent to establish the best conditions for the modification variables.

The results show that 4M acid concentration, 120min of activation time, and 100°C activation temperature are the best conditions for modifying Kpautagi clay for use in the treatment of petroleum refinery wastewater.

As a result, the best conditions discovered in this work for Kpautagi clay modification could be used to treat wastewater from petroleum refineries more effectively.

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Density of 85mL of water

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          Since water served as the foundation for creating the metric system of measurement, density is defined as mass divided by volume (=m/v), meaning that one cubic centimeter (1cm3) of water weighs one gram (1g).

The density of pure water is what.

        The density of water is typically expressed in terms of grams per milliliter (1 g/ml) or grams per cubic centimeter (1 g/cm3).

85-milliliter outcome

2.988 Ounces

0.1868 Pounds

84.719 Grames

0.0847 Kilograms

Weight at 80°F(26.7°c)

         As the temperature drops, the water becomes denser. Water density reaches its maximum at 4 degrees Celsius.

        Like a solid, a liquid's density is determined by dividing its mass by its volume, or D = m/v. Water has an average density of one gram per cubic centimeter. No matter the size of the sample, a substance has a constant density.

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Convert 11.75 millimeters to meters.

Answers

Answer: 0.01175

Explanation:

How many electron clouds does an element with 29 protons have?

Answers

Answer:

5, the last would be incomplete

Explanation:

The first, inner cloud has 2 electrons, then 8, then 8, then 8, then 3.

substances like xenon , which is a gas at room temperature and pressure, can often be liquified or solidified only at very low temperatures. at a pressure of , does not condense to a liquid until and does not freeze until . what are the equivalent absolute temperatures? to condense: k

Answers

The equivalent absolute temperature when it condenses will be 27.25K. and freezes at 24.65K.

To find equivalent absolute temperatures we have to use the following equation:

0°C + 273.15 = 273.15K

The main idea is to convert degree Celsius to Kelvin.

In this manner, we are going make utilize of the over condition and space within the values for at degree Celsius at which it condenses and at degree Celsius at which it solidifies.

So, the temperature at which it condenses:

-245.9°C + 273.15 = 27.25K.

Also, the temperature at which it freezes.

-248.5°C + 273.15 = 24.65K.

Absolute temperature is utilized in the application of the perfect gas law and numerous other laws of thermodynamics.

A scale for outright temperature with degree units the same as on the Celsius scale is known as the Kelvin scale; the temperature scale utilizing Fahrenheit degree units is the Rankine scale.

Appropriately, a temperature distinction of one degree on the Celsius scale compares to a temperature contrast of one degree on the Kelvin scale; additionally for the Fahrenheit and Rankine scales.

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Although part of your question is missing, you might be referring to this full question:

Substances like neon, which is a gas at room temperature and pressure, can often be liquified or solidified only at very low temperatures. At a pressure of 1 atm, Ne does not condense to a liquid until -245.9°C and does not freeze until -248.5°C. What are the equivalent absolute temperatures?

To condense: __K

To freeze: __ K

a certain hydrocarbon is found to have the percent composition (by mass) of 92.3% c. the molecular formula contains 6 carbon atoms. how many hydrogen atoms are contained in a molecular of this compound?

Answers

The number of atoms of hydrogen contained in the molecular formula of the compound is 6 atoms

How to determine the number of atoms

We'll begin by obtaining the formula of the compound. This can be obtained as follow:

C = 92.3%H = 100 - 92.3 = 7.7%Empirical formula =?

Divide by their molar mass

C = 92.3 / 12 = 7.7

H = 7.7 / 1 = 7.7

Divide by the smallest

C = 7.7 / 7.7 = 1

H = 7.7 / 7.7 = 1

Thus, the empirical formula of the compound is CH

Finally, we shall determin the number of atoms of hydrogen present in the compound. This can obtained as follow:

When 1 atom of carbon was present, 1 atom of hydrogen was also present.

Therefore,

When 6 atoms of carbon is present, then 6 atoms of hydrogen are also present.

Thus, we can conclude that the number of atoms of hydrogen is 6 atoms

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Sodium and lithium have similar chemical properties. What characteristics of these elements explain why they are chemically similar?.

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Sodium and lithium have similar chemical properties because both sodium and lithium have one valence electron

Chemical properties is the characteristics of particular substances that can be observed in a chemical reaction and the valence shell electrons in an atom determine the way it will interact with neighboring atoms and therefore determine its chemical properties and both sodium and lithium have one valence electron they share similar chemical properties and element sodium and lithium belong to group IA of the periodic table and the main characteristics is the a single electron in their outermost shell

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Please help How many moles of a gas sample are in 5.0 L container at 215 K and 342 kPa(The gas constant is 8.31 L kPa/mol K) Round your answer to one decimal place and enter the number only with no units.

Answers

Answer

1.0 mol

Explanation

Given:

Volume, V = 5.0 L

Temperature, T = 215 K

Pressure, P = 342 kPa

The gas constant, R = 8.31 L kPa/mol K

What to find:

The number of moles of the gas sample.

Step-step-solution:

The number of moles of the gas can be determine using the ideal gas equation formula:

[tex]PV=nRT[/tex]

Put the given values into the formula and calculate for n:

[tex]\begin{gathered} 342\times5.0=n\times8.31\times215 \\ 1710=1786.65n \\ \text{Divide both sides by 1786.65} \\ \frac{1710}{1786.65}=\frac{1786.65n}{1786.65} \\ n=0.9571\text{ mol} \\ To\text{ one decimal place,} \\ n=1.0\text{ mol} \end{gathered}[/tex]

The number of moles of the gas sample is 1.0 mol.

calculate the vapor pressure of a solution of 0.300 mol fraction of toluene and 0.700 mol fraction of cyclohexane at 32oc and determine whether the solution will boil. the vapor pressure of pure toluene is 40.2 torr and that of cyclohexane is 125 torr at 32oc

Answers

The Vapour pressure of the solution is 99.56 torr

The saturated vapour pressure of the solution maybe lower then the pressure of pure solvent in solution. It is equal to the vapour pressure of the pure solvent at the same temperature scaled by mole fraction of solvent stated by Rault's Law.  

P(solution) = mol fraction of solvent × P° ( solvent)

given, pressure of pure toulene = 40.2 torr

pressure of pure cyclohexane = 125 torr

∴ P (solution) = 0.3 × 40.2 + 0.7 × 125

P (solution) = 99.56 torr

hence, vapour pressure is calculated to be 99.56 torr.

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Measuring Liquid Volume Pre-Lab worksheet

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1. The longer distance for each choice is:

1 mile1 meter1 inch

2. The complete statements are as follows;

1 mi = 1.6 km1 yd = 0.9444 m1 in = 2.54 cm

3. The basic unit of length in the metric system is the meter and is represented by a lowercase m.

4. The meter is defined as the distance traveled by light in absolute vacuum in 1⁄299,792,458 of a second.

5. The values that complete each statement is given below:

1 km = 1000 m1 m = 100 cm1 m = 1000 mm

6. The larger value for each option is:

A. 105 centimetersB. 4400 metersC. 12 centimetersD. 1200 millimeters

7. The number of millimeters in 1 centimeter is 10 mm

8. Using the ruler and line, the answers are:

2.8 cm29 mm3 cm

What is the unit for measuring distance in the metric system?

The unit for measuring distance in the metric system is the meter. Smaller and larger values of the meter are also used such as millimeters, centimeters, kilometers, etc.

Other units for measuring distance include yards, miles, and inches.

The various units for measuring distance can also be interconverted using their conversion factors.

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which of the following is true about all spontaneous processes? a) it releases energy as heat. b) it will occur quickly. c) it will continue on its own once begun. d) it is never endothermic.

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C) It will continue on its own once begun is true for spontaneous processes.

What is spontaneous process?A spontaneous process is one that takes place without the system receiving any outside input. The system which releases free energy and transitions to a lower, more thermodynamically stable energy state is a more technical definition.The sign convention for changes in free energy is as follows: a release of free energy from the system corresponds to a negative change in the system's free energy and a positive change in the surrounding free energy.Spontaneous processes do not require an external energy source because they are known to be characterized by a decrease in the system's free energy.Spontaneous processes are characterized by a rise in entropy in isolated systems when no energy is exchanged with the environment.Chemical reactions that occur spontaneously in the context of interest are referred to as spontaneous reactions.

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When sodium reacts with water.........gas evolves
(O2-CO2-H2-N2)

Answers

When sodium reacts with water, hydrogen gas evolves (option C).

What is a chemical reaction?

A chemical reaction is a reaction that typically involves the breaking or making of interatomic bonds, in which one or more substances are changed into others.

A chemical reaction combines two or more substances called reactants to form new substances called products.

According to this question, sodium (Na) reacts with water (H2O) as follows:

2Na + 2H₂O → 2NaOH + H₂

As observed in the above chemical reaction, sodium metal reacts with water to produce sodium hydroxide and hydrogen gas.

Therefore, it can be said that hydrogen gas is evolved when sodium combines chemically with water.

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An unknown object has a mass of 125 grams. It is then added to a graduated cylinder filled with 55.0 mL of water. After being submerged, the water
level increases to 66.0 mL. What is the density of the object?

Answers

According to the given statement is 11.36 g/ml is the density of the object.

What is density of an object?

The proportion of an object's mass to its volume has been its density. The unit of density is frequently grams per cubic centimeter (g/cm3). Keep in mind that the volume is measured in cubic centimeters, not grams (the same volume as 1 millilitre). More particles will make a box denser than fewer particles in the same box.

What many density are there?

Absolute density and relative density are the two main types of density. Relative density, also known as specific gravity, is the proportion of a product's density to the density of a reference material.

Briefing:

Mass  = 125  g

Initial Volume =55.0 mL

Final  Volume = 66.0 mL

Volume = 66.0mL - 55.0mL

Volume= 11.0 mL

ρ = m/v

ρ = 125/11

ρ = 11.36 g/ml.

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What is the mass of calcium oxide produced in the reaction?

Answers

Answer:

From the reaction stoichiometry, 2 moles of Ca produces 2 moles of CaO. Thus, the number of moles of Ca is the same as that of CaO. Therefore, n = 0.16892 mol for CaO. Hence, 9.47 grams of calcium oxide are produced.

How do scientists predict the polarity of molecules?

Answers

When a molecule lacks polar bonds, there is no permanent charge difference between parts of the molecule, and the molecule is nonpolar.

Because the electron charge on both atoms is identical, the Cl2 molecule has no polar bonds. As a result, it is a nonpolar molecule. Hydrocarbons are nonpolar molecular substances because none of the bonds in hydrocarbon molecules, such as hexane, C6H14, are significantly polar.

The molecule is nonpolar if the arrangement is symmetrical and the arrows are of equal length. The molecule is polar if the arrows are of different lengths and do not balance each other. The molecule is polar if the arrangement is asymmetrical.

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how many formula units are there in 212 grams of mgCl2

Answers

Formula units are there in 212 grams of MgCl₂ are 830.56

Formula is the empirical of any ionic or covalent network solid compound used as an independent entity for stoichiometric calculations and it is the lowest whole number ratio of ions represented in an ionic compound

Here given data is

MgCl₂ = 212 grams

1 mole of magnesium chloride has mass = 95.211 gram and contains 6.022×10²³formula units of magnesium chloride

Here 212 grams×6.022×10²³form unit of MgCl₂/95.211 gram = 830.56

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how does the specific heat capacity of water compare with the specific heat capacities of other common materials? how does the specific heat capacity of water compare with the specific heat capacities of other common materials? the specific heat capacity of water is very low in comparison with other common materials. the specific heat capacities of water and other common materials are approximately the same. the specific heat capacity of water is very high in comparison with other common materials.

Answers

Liquid water has one of the highest specific heat capacities among common substances, about 4184 J⋅kg−1⋅K−1 at 20 °C; but that of ice, just below 0 °C, is only 2093 J⋅kg−1⋅K−1. The specific heat capacities of iron, granite, and hydrogen gas are about 449 J⋅kg−1⋅K−1, 790 J⋅kg−1⋅K−1, and 14300 J⋅kg−1⋅K−1, respectively.

The amount of heat required to increase the temperature of 1 gram of a substance by 1 degree Celsius (°C) is known as specific heat. Since water has a higher specific heat than other substances, it requires more energy to raise its temperature.

The heat capacity of a sample of a substance is divided by the mass of the sample to produce the specific heat capacity (symbol cp), also known as massif heat capacity. Informally, it is the quantity of heat that must be added to one unit of a substance's mass in order to raise its temperature by one unit. joule per kelvin per kilogram is the specific heat capacity unit in the SI.

A substance's specific heat capacity may be substantially higher when heated in an open vessel that permits expansion than when heated in a closed vessel that prevents expansion, especially when the substance is a gas (specific heat capacity at constant pressure) (specific heat capacity at constant volume).

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guitar1. I bought my watch two months ago.I've had my watch2. She met her best friend when she was six.She's known her best friend3. I liked football when I was young and I still like it.Ifootball since I was young.4. They bought their cottage in 2003.They've owned their cottage5. He started living in his flat three years ago.Hetwo months.6. The children went to sleep an hour ago.The children have been a sleep_in his flat for three years7. I first met Beth and Gary ten years ago.I've known Beth and Gary8. We started working here when we left college.Wesix9. This is the first time I've been to another country.I10. Jane hasn't flown before.It'shere since we left college.Jane has flown.an houyears.to another country before Which expression is equivalent and show work if you can pls help thanks if u do Why was the surrender of New Amsterdam to the English important? The symptoms of being more thirsty than usual, and also urinating more frequently than usual are oftenearly symptoms of which disease process Hi, can you help me answer this question please, thank you! How can a greatest common factor be separated from an expression Determine if u is a solution to 1 - 9u = 19u= -2, 7, 0, 6 NOBODY IS ANSWERING!! I WILL GIVE BRAINLIEST!! PLS HELP!! Earth's___ and _____ affect the relative amounts of solar radiation regions receive Socrates practiced civil disobedience is what tone? Given g=(1+2a)/a, solve for the variable a. write in 1/31/4 lowest terms1/62/71/71/12 How many times larger is 3 x 10 than 3 x 10 ? What type of enforcement do domestic laws use, such as laws in the united states that prohibit murder or theft?. motivational interviewing was developed by as he demonstrated his motivational techniques to norwegian student interns a. william miller b. harold hughes c. charles rapp d. alan marlatt Find an equation of line L. Write your answer using fractions or integers.The equation of line L is y = What impact did weak generals for the union have on the eastern front? What is the factorization of496^4-9 Use the properties of logarithms to expand the following expression as much as possible. Simplify any numerical expressions that can be evaluated without a calculatorlog5 (15x + 20y) why is it important that rufus learn to read well