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Chemical Calculations

The ideal gas equation

  • 3 things to know
  • Components 1 and 2

Overview

Ideal gas equation and say what each symbol represents and assumptions made about the molecules of an ideal gas.

What you need to know

Answer each one before you reveal it.

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Key term

State the ideal gas equation and say what each symbol represents.

Key term

In which units must each quantity be expressed when using the ideal gas equation?

Key term

Convert a volume of 1 dm³ into cubic metres.

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    State the ideal gas equation and say what each symbol represents.

    Model answer

    The equation is pV = nRT, where p is pressure, V is volume, n is the amount of gas in moles, R is the gas constant and T is the absolute temperature.

  2. 2

    In which units must each quantity be expressed when using the ideal gas equation?

    Model answer

    Pressure in pascals, volume in cubic metres, amount in moles and temperature in kelvin, with R equal to 8.31 J K⁻¹ mol⁻¹.

  3. 3

    Convert a volume of 1 dm³ into cubic metres.

    Model answer

    1 dm³ is 1 × 10⁻³ m³.

  4. 4

    Convert a volume of 250 cm³ into cubic metres.

    Model answer

    250 cm³ is 2.50 × 10⁻⁴ m³.

  5. 5

    Calculate the volume occupied by 0.500 mol of a gas at 298 K and 1.00 × 10⁵ Pa.

    Model answer

    V = nRT/p = (0.500 × 8.31 × 298) ÷ 1.00 × 10⁵ = 1.24 × 10⁻² m³, which is 12.4 dm³.

  6. 6

    A 0.440 g sample of a gas occupies 250 cm³ at 300 K and 1.00 × 10⁵ Pa. Calculate its molar mass.

    Model answer

    n = pV/RT = (1.00 × 10⁵ × 2.50 × 10⁻⁴) ÷ (8.31 × 300) = 1.00 × 10⁻² mol, so the molar mass is 0.440 ÷ 1.00 × 10⁻² = 44 g mol⁻¹.

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