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CHEM- Gas Volume Calculations

Chemistry, Gas Volume Calculations, Molar Volume- IBDP | DSE | GCE | IAL | AP Chemistry

May 10, 2018

Before moving onto analyzing some examples, here are few reminders.๐Ÿ“

๐Ÿงโ€‹The volume occupied by one mole of a gas is called the molar volume which is 24 dm3 / 24000 cm3

๐Ÿงโ€‹Number of moles of gas = Volume of gas / Molar Volume of gas

* Under the same temperature and pressure โ—๏ธ โ•โ€‹

Example 1๐Ÿ‘‡โ€‹

What is the number of moles of methane in 1.44 dm3 of the gas measured at room temperature and pressure?

(Molar Volume of gas at room temperature and pressure= 24 dm3mol-1)

Answer: No of moles of methane= Volume of methane/Molar volume of gas

Therefore, 1.44 dm3 / 24 dm3mol-1 = 0.0600 mol

Yup, keep in mind that for some questions all you need to do is substitute the correct values into the equation.

*Watch out for the units too โ—๏ธ โ•โ€‹โ€‹

Example 2๐Ÿ‘‡โ€‹

What is the volume, measured at room temperature and pressure, occupied by 13.2 g of carbon dioxide?

(Relative atomic masses: C=12, O=16; Molar Volume of gas at room temperature and pressure= 24 dm3mol-1 )

Step 1: Find the moles of CO2

๐Ÿงโ€‹Moles= Mass / Molar Mass

Thus, moles of CO2 = 13.2 g / (12+16+16) = 0.300 mol

๐Ÿ’ชโ€‹Final Step: Rearrange the formula to find the volume of gas

๐Ÿง Volume of CO 2 = Moles of CO2 ร— ย Molar Volume of Gas

Volume of CO 2= 0.300 mol ร— 24 dm3mol-1 = 7.20 dm3

Example 3๐Ÿ‘‡โ€‹โ€‹

Butane burns in oxygen completely to produce carbon dioxide and water according to the following equation:

2C4H10(g) + 13O2(g) โ‡’ 8CO2(g) + 10H2O(l)

What volume of oxygen is needed for the complete combustion of butane measured at room temperature and pressure?

(Molar Volume of gas at room temperature and pressure= 24 dm3mol-1= 24000 cm3 mol-1)

Step 1: Find the moles of C4H10 using the formula

Moles of C4H10= Volume of C4H10/ Molar Volume of gas

Hence, 480 cm3/ 24000 cm3mol-1=0.02 mol

Step 2: Use mole ratio to find the moles of O2

๐Ÿงโ€‹From the equation, 2 moles of C4H10 require 13 moles of O2

Moles of O2 = 0.02 ร— (13/2) = 0.130 mol

๐Ÿ’ชโ€‹Last Step: Rearrange the formula to find the volume of O2

๐Ÿง Volume of O2 = Moles of O2ย ร— molar Volume of gas

Volume of O2 = 0.130 mol ร— 24 dm3mol-1 = 3.12 dm3

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