Calculate Volumes of Gases (Edexcel IGCSE Chemistry (Modular))
Revision Note
Calculate Volumes of Gases
Avogadro's Law
Avogadro’s Law states that at the same conditions of temperature and pressure, equal amounts of gases occupy the same volume of space
At room temperature and pressure, the volume occupied by one mole of any gas was found to be 24 dm3 or 24,000 cm3
This is known as the molar gas volume at RTP
RTP stands for “room temperature and pressure” and the conditions are 20 ºC and 1 atmosphere (atm)
From the molar gas volume the following formula triangle can be derived:
Formula triangle showing the relationship between moles of gas, volume in dm3 and the molar volume
If the volume is given in cm3 instead of dm3, then divide by 24,000 instead of 24:
Formula triangle showing the relationship between moles of gas, volume in cm3 and the molar volume
The formula can be used to calculate the number of moles of gases from a given volume or vice versa
Simply cover the one you want and the triangle tells you what to do
To find the volume
Volume = Moles x Molar Volume
Examples of Converting Moles into Volumes Table
Name of Gas | Amount of Gas | Volume of Gas |
|---|---|---|
Hydrogen | 3 mol | (3 x 24) = 72 dm3 |
Carbon Dioxide | 0.25 mol | (0.25 x 24) = 6 dm3 |
Oxygen | 5.4 mol | (5.4 x 24,000) = 129,600 cm3 |
Ammonia | 0.02 mol | (0.02 x 24) = 0.48 dm3 |
To find the moles
Moles = Volume ÷ Molar Volume
Examples of Converting Volumes into Moles Table
Name of Gas | Volume of Gas | Amount of Gas |
|---|---|---|
Methane | 225.6 dm3 | (225.6 ÷ 24) = 9.4 mol |
Carbon Monoxide | 7.2 dm3 | (7.2 ÷ 24) = 0.3 mol |
Sulfur Dioxide | 960 dm3 | (960 ÷ 24) = 40 mol |
Oxygen | 1200 cm3 | (1200 ÷ 24,000) = 0.05 mol |
Using mass to calculate the volume of a gas
You may be asked to calculate the volume of a gas from a given amount stated in grams instead of moles
To answer these type of questions you must first convert grams to moles and then calculate the volume.
Worked Example
What is the volume of 154 g of nitrogen gas at RTP?
Answer:
Step 1: Calculate the moles of nitrogen:
Mr (N2) = 2 x 14 = 28
Moles of N2 =
= 5.5 mol
Step 2: Calculate the molar volume of nitrogen:
Volume = moles x 24
Volume = 5.5 x 24 = 132 dm3
A second style of gas calculation involves calculating the volumes of gaseous reactants and products from a balanced equation and a given volume of a gaseous reactant or product
These problems are straightforward as you are applying Avogadro's Law, so the moles ( and coefficients) in equations are in the same ratio as the gas volumes
Worked Example
The complete combustion of propane gives carbon dioxide and water vapour as the products.
C3H8 (g) + 5O2 (g) → 3CO2 (g) + 4H2O (g)
Determine the volume of oxygen needed to react with 150 cm3 of propane and the total volume of the gaseous products
Answer:
The balanced equation shows that 5 moles of oxygen are needed to completely react with 1 mole of propane
Therefore, the volume of oxygen needed would be = 5 moles x 150 cm3 = 750 cm3
The total number of moles of gaseous products is = 3 + 4 = 7 moles
The total volume of gaseous products would be = 7 moles x 150 cm3 = 1050 cm3
Examiner Tip
Make sure you use the correct units as asked by the question when working through reacting gas volume questions.
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