Gases and Gas Laws Quiz

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Questions and Answers

How many moles of gas are present in a sample containing $1.8 \times 10^{24}$ atoms of chlorine at standard temperature and pressure?

  • 0.75 moles
  • 2.0 moles
  • 1.8 moles
  • 1.5 moles (correct)

Which of the following assumptions is NOT part of the kinetic theory of gases?

  • Gas particles have negligible volume compared to the volume of the container
  • Gases are made up of particles in rapid, random motion
  • The average kinetic energy of molecules is proportional to their mass (correct)
  • Molecules collide elastically

Why are non-volatile liquids unsuitable for the method described for relative molecular mass calculation?

  • They do not vaporise easily (correct)
  • They are less dense than water
  • They have high boiling points
  • They react with atmospheric oxygen

What modern technique can improve the accuracy of measuring the relative molecular mass of volatile and non-volatile substances?

<p>Mass spectrometer (D)</p> Signup and view all the answers

According to Avogadro's law, what do equal volumes of gases contain?

<p>Equal numbers of molecules (B)</p> Signup and view all the answers

What does Charles' Law state about the volume of a gas at constant pressure?

<p>Volume is directly proportional to temperature. (B)</p> Signup and view all the answers

What is the significance of the temperature -273°C in the context of Charles' Law?

<p>It represents absolute zero where volume theoretically becomes zero. (A)</p> Signup and view all the answers

In the equation V/T = k, what does 'k' represent?

<p>The constant that relates volume and temperature. (C)</p> Signup and view all the answers

How does pressure relate to the volume of gas according to Boyle's Law?

<p>Pressure is inversely proportional to volume. (B)</p> Signup and view all the answers

What does the straight line in the volume versus temperature graph signify?

<p>The relationship is not linear across all temperatures. (B)</p> Signup and view all the answers

What happens to the volume of a gas when it is cooled at constant pressure?

<p>The volume decreases. (C)</p> Signup and view all the answers

If the temperature of a gas is increased while keeping pressure constant, what is the expected change in volume?

<p>The volume will increase. (C)</p> Signup and view all the answers

In the equation pV = k, what does the term 'p' represent?

<p>Pressure in Pascals. (A)</p> Signup and view all the answers

Which of the following best describes an ideal gas?

<p>A gas that perfectly obeys the assumptions of the kinetic theory under all conditions. (A)</p> Signup and view all the answers

What assumption of the kinetic theory states that gas molecules collide without losing energy?

<p>The elastic collision assumption. (C)</p> Signup and view all the answers

Which factor is NOT a limitation of the kinetic theory of gases?

<p>Collisions between gas particles are elastic. (A)</p> Signup and view all the answers

In the equation of state for an ideal gas, pV = NRT, what does the variable R represent?

<p>Universal gas constant. (D)</p> Signup and view all the answers

During the mandatory experiment to measure the relative molecular mass of a volatile liquid, what is the purpose of covering the flask with aluminium foil?

<p>To prevent vapor from escaping. (C)</p> Signup and view all the answers

What measurement should be controlled to ensure accurate results during the experiment?

<p>Temperature of the water. (D)</p> Signup and view all the answers

At what temperature are the gas molecules' average kinetic energy proportional according to the kinetic theory?

<p>Kelvin scale. (A)</p> Signup and view all the answers

Which step is NOT part of the experiment to measure the relative molecular mass of a volatile liquid?

<p>Pricking multiple holes in the aluminium foil. (D)</p> Signup and view all the answers

What is the relationship between the volume and pressure of a gas at constant temperature according to Boyle's Law?

<p>They are inversely proportional. (A)</p> Signup and view all the answers

What is the SI unit for measuring pressure?

<p>Pascal (Pa) (A)</p> Signup and view all the answers

Which of the following temperature scales indicates absolute zero at 0K?

<p>Kelvin (A)</p> Signup and view all the answers

What is standard atmospheric pressure in pascals?

<p>100,000 Pa (A)</p> Signup and view all the answers

Which of the following statements about gas volume is correct?

<p>The volume of a gas equals the volume of its container. (C)</p> Signup and view all the answers

At what temperature is standard temperature set, according to standard temperature and pressure (s.t.p)?

<p>273 K (B)</p> Signup and view all the answers

How is temperature converted from Celsius to Kelvin?

<p>Add 273 (C)</p> Signup and view all the answers

What is the value of 1 litre in terms of cubic centimetres?

<p>1000 cm3 (A)</p> Signup and view all the answers

What must be done immediately after removing the flask from the beaker?

<p>Record the atmospheric pressure using a barometer. (B)</p> Signup and view all the answers

How is the mass of the vapor determined in the experiment?

<p>By weighing the flask before and after heating. (C)</p> Signup and view all the answers

Which of the following describes the condition under which the pressure of the vapor equals atmospheric pressure?

<p>The vapor is allowed to escape through a hole. (C)</p> Signup and view all the answers

What is a suitable example of a liquid to use in this experiment?

<p>Cyclohexane (B)</p> Signup and view all the answers

What is the first step to find the volume of the flask?

<p>Fill the flask with water and measure the amount. (D)</p> Signup and view all the answers

Why is it necessary to allow the flask to cool after removing it from the beaker?

<p>To allow vapor to condense for measurement. (C)</p> Signup and view all the answers

What happens to the volatile liquid when the flask is heated?

<p>It vaporizes completely and escapes. (B)</p> Signup and view all the answers

What is the atmospheric pressure recorded for the vapor in this experiment?

<p>101 kPa (D)</p> Signup and view all the answers

What does the Combined Gas Law relate?

<p>Pressure, volume, and temperature of a gas (A)</p> Signup and view all the answers

In the Combined Gas Law, if the pressure of a gas decreases, what happens to its volume at constant temperature?

<p>The volume increases (B)</p> Signup and view all the answers

What is the molar volume of a gas at standard temperature and pressure (s.t.p)?

<p>22.4 liters (C)</p> Signup and view all the answers

According to Gay-Lussac’s Law of Combining Volumes, what is true about the volumes of reacting gases?

<p>They are in ratios of small whole numbers (B)</p> Signup and view all the answers

When using the Combined Gas Law, which of the following variables is NOT required?

<p>Final temperature (A)</p> Signup and view all the answers

What would happen to the volume of nitrogen gas if the temperature decreases while pressure is maintained?

<p>It will decrease (D)</p> Signup and view all the answers

How is the volume of gas at standard and room temperature defined?

<p>One mole occupies 22.4 liters at s.t.p. and 24.0 liters at room temperature (B)</p> Signup and view all the answers

What is the relationship between the temperature and volume of a gas according to Charles’ Law?

<p>Volume is directly proportional to temperature (C)</p> Signup and view all the answers

Flashcards

Gas definition

A gas has no fixed boundaries and quickly fills its container.

Temperature (Kelvin)

Measures the hotness of an object; 0K is absolute zero.

Temperature (Celsius)

Temperature scale with freezing point 0°C and boiling point 100°C of water.

Gas Pressure

Force exerted by a gas on a unit area.

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Boyle's Law

At constant temperature, gas volume is inversely proportional to pressure.

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STP

Standard Temperature and Pressure: 273K and 100,000 Pa.

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Volume Units

Gas volume is measured in cubic meters (m³), cubic centimeters (cm³), or liters (L).

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Pressure Units

Pressure is measured in Pascals (Pa), kilopascals (kPa) or hectopascals (hPa).

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Boyle's Law equation

pV = k, where p is pressure, V is volume, and k is a constant related to temperature.

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Charles' Law equation

V/T = k, where V is volume, T is temperature (in Kelvin), and k is a constant related to pressure.

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Charles' Law

At constant pressure, the volume of a fixed mass of gas is directly proportional to its temperature measured on the Kelvin scale.

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Kelvin scale

A temperature scale where 0 Kelvin represents absolute zero, the theoretical absence of thermal energy.

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Absolute zero

The theoretical temperature at which all molecular motion stops.

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Direct proportionality

A relationship where if one variable increases, the other increases by the same factor.

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Inverse proportionality

A relationship where if one variable increases, the other decreases by the same factor.

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Combined Gas Law

Relates the pressure, volume, and temperature of a gas. It combines Boyle's Law and Charles' Law into one equation.

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Combined Gas Law Equation

𝑝1 𝑉1 / 𝑇1 = 𝑝2 𝑉2 / 𝑇2, where p1, V1, and T1 are the initial pressure, volume, and temperature and p2, V2, and T2 are the final pressure, volume, and temperature.

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Gay-Lussac's Law

States that the volumes of reacting gases and gaseous products are in the ratio of small whole numbers, as long as the temperature and pressure are kept constant.

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Avogadro's Law

States that equal volumes of gases contain equal numbers of molecules, as long as the temperature and pressure remain the same.

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Molar Volume

The volume occupied by one mole of a gas at a specific temperature and pressure.

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How to use the Combined Gas Law

The Combined Gas Law equation can be used to calculate a missing final condition (pressure, volume, or temperature) of a gas when given initial and two final conditions.

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What are the conditions for Gay-Lussac's Law?

For Gay-Lussac's Law to be valid, the volumes of reacting gases and gaseous products must be measured at the same temperature and pressure.

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Volatile Liquid

A liquid that easily evaporates at room temperature.

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Flask & fittings mass

The combined mass of the conical flask, cap, rubber band, and any remaining liquid inside.

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Vapor Mass

The mass of the volatile liquid that has evaporated and filled the flask.

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Flask Volume

The volume of the flask, determined by filling it with water and measuring the water transferred.

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Atmospheric Pressure

The pressure exerted by the air surrounding the flask.

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Vapor Pressure

The pressure exerted by the vaporized volatile liquid inside the flask.

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Why Vapor Pressure = Atmospheric Pressure

The pinhole in the flask allows vapor to escape until the pressure inside matches the pressure outside.

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Relative Molecular Mass (Mr)

The mass of one molecule of a substance relative to the mass of a carbon-12 atom.

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What is Avogadro's Law?

Avogadro's Law states that equal volumes of ideal gases contain the same number of molecules at constant temperature and pressure.

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Assumptions of Kinetic Theory

The kinetic theory of gases assumes that gas particles are in constant random motion and have negligible volume compared to the container they occupy.

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Real Gas Deviations

Real gases deviate from ideal gas behavior due to intermolecular forces and finite particle volume.

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Moles from Atoms

To determine the number of moles of a gas from its atoms, divide the number of atoms by Avogadro's number (6.022 x 10^23) to find the number of molecules and then divide by Avogadro's number again to get the number of moles.

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Mass Spectrometer Technique

Mass spectrometry is a technique used to determine the relative molecular mass of substances, regardless of their volatility or state of matter.

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Ideal Gas

A gas that perfectly obeys all the assumptions of the kinetic theory of gases under all conditions of temperature and pressure. It is theoretical and does not exist in reality.

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Kinetic Theory Assumptions

The kinetic theory of gases describes ideal gas behavior based on assumptions like particles in constant random motion, negligible particle volume compared to space, and collisions being perfectly elastic.

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What are the two main limitations of kinetic theory?

  1. There are attractive forces between gas particles, contrary to the theory's assumptions. 2) The volume of gas particles is not entirely negligible compared to the space between them.
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Ideal Gas Law Equation

The ideal gas law equation is pV = nRT, where p is pressure, V is volume, n is the number of moles, R is the universal gas constant, and T is temperature.

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Units for Ideal Gas Law

When using the ideal gas law equation, pressure should be in Pascals (Pa), volume in cubic meters (m³), and temperature in Kelvin (K).

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Universal Gas Constant

The universal gas constant (R) is a value that accounts for the proportionality between the pressure, volume, and temperature of an ideal gas, always equaling 8.3 J K⁻¹ mol⁻¹.

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Relative Molecular Mass of a Volatile Liquid

The relative molecular mass of a substance is the mass of one molecule relative to 1/12th the mass of a carbon-12 atom. For a volatile liquid, it can be determined by experiment.

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Study Notes

Gases

  • A gas is a substance with no defined boundaries. It rapidly fills any container it's placed in.
  • Gases are one of the three states of matter (solid, liquid, gas).

Gas Laws

Temperature

  • Temperature measures hotness.
  • Two common scales:
    • Kelvin: 0 K is absolute zero (-273°C)
    • Celsius: Water freezes at 0°C and boils at 100°C.
  • Converting between scales: Add 273 to Celsius to get Kelvin.

Pressure

  • Pressure is the force exerted by a gas per unit area.
  • Units:
    • Newton per square meter (N/m²) or Pascal (Pa)
    • Kilopascal (kPa) = 1000 Pa
    • Hectopascal (hPa) = 100 Pa
  • Normal atmospheric pressure: 100,000 Pa.

Volume

  • Volume is the space occupied by a gas. It's the same as the container's volume.
  • Units:
    • Cubic metre (m³)
    • Cubic centimetre (cm³)
    • Litre (L) = 1 dm³ = 1000 cm³

Standard Temperature and Pressure (STP)

  • Standard temperature: 273 K
  • Standard pressure: 100,000 Pa

Boyle's Law

  • At constant temperature, the volume of a gas is inversely proportional to its pressure.
  • pV = k (where p is pressure, V is volume, and k is a constant)

Charles' Law

  • At constant pressure, the volume of a gas is directly proportional to its Kelvin temperature.
  • V/T = k (where V is volume, T is temperature, and k is a constant)

Combined Gas Law

  • Combines Boyle's and Charles' Laws.
  • (P₁V₁)/T₁ = (P₂V₂)/T₂

Gay-Lussac's Law of Combining Volumes

  • In reactions involving gases, the volumes of reacting gases and the products are in ratios of small whole numbers at the same temperature and pressure.

Avogadro's Law

  • Equal volumes of gases at the same temperature and pressure contain equal numbers of molecules.
  • Molar volume: at STP, 1 mole of any gas occupies 22.4 litres

Kinetic Theory of Gases

  • Gases are made of constantly moving particles.
  • There are no forces between particles (ideally).
  • Particle volume is negligible compared to the space between them.
  • Collisions are perfectly elastic.
  • Average kinetic energy is proportional to temperature.
  • Equation PV=nRT, using units of Pascal for pressure, cubic meters for volume, moles as quantity of gas, the universal gas constant R and Kelvin for temperature.

Measurements of Relative Molecular Mass

  • Experimental method for determining the relative molecular mass of volatile liquids.
    • Carefully measure a known amount of liquid in a conical flask.
    • Heat the flask until all the liquid vaporizes while maintaining a constant temperature and pressure.
    • Cool the flask and record the new mass of the contents.
    • (Mathematical calculations follow to find the relative molecular mass)

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