Question

An ideal gas of 10 moles occupies _________ volume.

(a) 22.4 liters

(b) 2.24 liters

(c) 224 liters

(d) 2240

The question was posed to me in a national level competition.

This intriguing question originated from States of Matter in section States of Matter of Chemistry – Class 11

Answer 1

The volume occupied by an ideal gas can be determined using the Ideal Gas Law or by considering the molar volume at standard temperature and pressure (STP).

Molar Volume at STP:

At standard temperature (273.15 K) and pressure (1 bar), 1 mole of an ideal gas occupies 22.4 liters.

Given Data:

• Moles of gas: $n=10\text{moles}$
• Volume of 1 mole: $22.4\text{liters}$

Total Volume:

$$V=n\cdot \text{molar volume}$$ $$V=10\cdot 22.4=224\text{liters}$$

Final Answer:

(c) 224 liters