General Gas Law and Ideal Gas Law Quiz

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Questions and Answers

What does the Ideal Gas Law relate?

  • Molar mass, temperature, pressure, and volume
  • Temperature, volume, density, and quantity of gas
  • Pressure, volume, temperature, and amount of gas (correct)
  • Density, pressure, volume, and temperature

Which scenario could lead to a deviation from ideal gas behavior?

  • High pressure and low temperature conditions (correct)
  • Gas at a sufficient volume with high energy molecules
  • Standard temperature and pressure (STP)
  • Low pressure and high temperature conditions

How is the value of the gas constant, R, affected?

  • It is constant regardless of the pressure unit used.
  • It varies depending on the volume of the gas.
  • It varies depending on the unit of pressure. (correct)
  • It is dependent solely on temperature.

To calculate the molar mass of a gas using the Ideal Gas Law, which variable is typically manipulated?

<p>The amount of gas (n) (A)</p> Signup and view all the answers

If a gas has a density of 2.53 g/L at 27.0°C and 98.66 kPa, which calculation would provide its molecular mass?

<p>Use the ideal gas equation with density (A)</p> Signup and view all the answers

What must be true for the pressure measurements used in the General Gas Law?

<p>They must be in the same unit for P1 and P2. (A)</p> Signup and view all the answers

Which statement about ideal gases is accurate?

<p>Real gases behave identically to ideal gases only at STP or SATP. (B)</p> Signup and view all the answers

If the quantity of moles is held constant, which law does the General Gas Law simplify to?

<p>Combined Gas Law. (B)</p> Signup and view all the answers

What is a necessary condition when using the General Gas Law?

<p>Temperature must be in Kelvin. (A)</p> Signup and view all the answers

What does the Combined Gas Law state about the relationship between pressure, volume, and temperature?

<p>The product of pressure and volume is proportional to temperature. (A)</p> Signup and view all the answers

In Example 1 of the content, what happens to the volume of gas when temperature increases?

<p>The volume may increase but is affected by pressure. (A)</p> Signup and view all the answers

What will happen to a real gas when subjected to extreme temperatures and pressures?

<p>It will behave unlike an ideal gas. (B)</p> Signup and view all the answers

Which of the following conditions can affect the behavior of real gases?

<p>Extreme temperatures and pressures. (A)</p> Signup and view all the answers

Flashcards

Ideal Gas Law

A law describing the relationship between pressure (P), volume (V), temperature (T), and the number of moles (n) of an ideal gas.

Gas Constant (R)

A constant that relates pressure, volume, temperature, and the number of moles of an ideal gas.

Molar Mass of a Gas

The mass of one mole of a substance. It's expressed in g/mol.

Density of a Gas

The mass per unit volume of a substance. It's commonly expressed in g/L.

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Ideal Gas

A gas that obeys the ideal gas law perfectly. It's a theoretical model that assumes no intermolecular forces and that all collisions are elastic.

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General Gas Law

Combines all four simple gas laws into one equation. It states that the product of the pressure and volume of a gas sample is proportional to its absolute temperature and the number of moles present. It can be used to predict the behavior of gases under different conditions.

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Combined Gas Law

A special case of the general gas law where the amount of gas is held constant. It states that the ratio of the product of pressure and volume to the temperature remains constant. It's useful for calculating changes in volume, pressure, or temperature when the amount of gas is fixed.

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Real Gases vs Ideal Gases

Real gases don't behave perfectly like ideal gases at extreme temperatures or pressures, because their particles start to interact and occupy significant volume. However, they behave very close to ideal at standard temperature and pressure (STP) or standard ambient temperature and pressure (SATP).

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Standard Temperature & Pressure (STP)

Standard Temperature and Pressure (STP) refers to specific conditions used for comparing the behavior of gases. STP is defined as 0°C (273.15 K) and 1 atm (101.3 kPa).

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Standard Ambient Temperature & Pressure (SATP)

Standard Ambient Temperature & Pressure (SATP) is another set of standard conditions used for comparing gas properties. It's defined as 25°C (298.15 K) and 1 atm (101.3 kPa).

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Mole (mol)

A mole is used to count the number of particles (atoms or molecules) in a specific quantity of substance. One mole always contains Avogadro's number of particles (6.022 x 10^23).

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Study Notes

General Gas Law and Ideal Gas Law

  • This unit covers the General Gas Law and the Ideal Gas Law.
  • The General Gas Law combines Boyle's Law, Charles' Law, and Gay-Lussac's Law into a single equation.
  • The Ideal Gas Law describes the relationship between pressure, volume, temperature, and quantity of a gas.

Simple Gas Laws

  • Boyle's Law: Pressure and volume of a gas are inversely proportional at constant temperature (P₁V₁ = P₂V₂).
  • Charles' Law: Volume and temperature of a gas are directly proportional at constant pressure (V₁/T₁ = V₂/T₂).
  • Gay-Lussac's Law: Pressure and temperature of a gas are directly proportional at constant volume (P₁/T₁ = P₂/T₂).
  • Avogadro's Law: Volume and number of moles of a gas are directly proportional at constant temperature and pressure (V₁/n₁ = V₂/n₂).

General Gas Law

  • Combines all four simple gas laws into one equation holding any two conditions constant.
  • The equation is: P₁V₁/n₁T₁ = P₂V₂/n₂T₂.
  • Temperature must be in Kelvin (K).
  • Pressure and volume units must be consistent (e.g., all in kPa, all in atm).

Combined Gas Law

  • The combined gas law represents the relationship between pressure, volume, and temperature when the amount of gas (number of moles) is constant.
  • The equation is: P₁V₁/T₁ = P₂V₂/T₂

Ideal Gases

  • Ideal gases perfectly obey all gas laws under all conditions.
  • In reality, no gas is truly ideal.
  • Real gases behave like ideal gases at standard temperature and pressure (STP).

Ideal Gas Law

  • The equation is PV = nRT, where:
    • P = pressure (in kPa, atm, or mmHg)
    • V = volume (in L, mL, cm³, or dm³)
    • n = number of moles
    • R = gas constant (varies based on the units of P, a key value)
    • T = temperature (in K)

The Gas Constant, R

  • The value of R changes depending on the units of pressure used.
  • Common values for R include:
    • 8.31 (kPa⋅L)/(mol⋅K)
    • 0.08206 (atm⋅L)/(mol⋅K)
    • 62.36 (mmHg⋅L)/(mol⋅K)

Molar Mass of a Gas

  • The ideal gas law can be used to determine the molar mass of a gas.
  • The formula is: M = mRT/PV, where:
    • M = molar mass
    • m = mass of the gas

Using the Density of a Gas

  • To find density, relate it to the molar mass through the ideal gas equation:
    • d = m/V = (mRT/PV)/V = mRT/PV
    • Therefore, the relationship is: M = dRT/P
  • Density (d) must be in grams per liter (g/L)

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