Question

What is volume of carbon dioxide, CO₂ occupying by : 

i. 5 moles and 

ii. 0.5 mole of CO₂ gas measured at STP.

Answer 1

Given : 

i. Number of moles of CO₂ = 5 mol 

ii. Number of moles of CO₂ = 0.5 mol

To find :

Volume at STP 

Formula : 

Number of moies of a gas (n) = \(\frac{Volume\,of\,a\,gas\,at\,STP}{Molar\,volume\,of\,a\,gas}\)

Calculation : 

Molar volume of a gas 22.4 dm³ mol^-1 at STP.

Number of moles of a gas (n) = \(\frac{Volume\,of\,a\,gas\,at\,STP}{Molar\,volume\,of\,a\,gas}\)

∴ i. Volume of the gas at STP = Number of moles of a gas (n) × Molar volume of a gas

= 5mol × 22.4 dm³ mol^-1 

= 112 dm³

ii. Volume of the gas at STP Number of moles of a gas (n) × Molar volume of a gas 

= 0.5 mol × 22.4 dm³ mol^-1 

= 11.2 dm³

∴ i. Volume of 5 mol of CO₂ = 112 dm³

ii. Volume of 0.5 mol of CO₂ = 11.2 dm³