Question

How much does the volume of the gas increase if we increase the temperature by 1 Degree?

(a) 273 liters

(b) 1 by 273^rd of the original volume of the gas

(c) 1 liter

(d) Hundred liters

The question was posed to me in unit test.

This intriguing question comes from States of Matter topic in division States of Matter of Chemistry – Class 11

Answer 1

The correct answer is (b) 1273\frac{1}{273}2731​ of the original volume of the gas.

Explanation:

This question is based on Charles' Law, which states that at constant pressure, the volume of a gas is directly proportional to its temperature (measured in Kelvin).

V∝TorV1T1=V2T2V \propto T \quad \text{or} \quad \frac{V_1}{T_1} = \frac{V_2}{T_2}V∝TorT1​V1​​=T2​V2​​

According to Charles' Law:

• The temperature must be measured in Kelvin.
• If the temperature increases by 1 degree Celsius (which is equivalent to 1 K in terms of temperature change), the volume increases by a fraction of the original volume.

For a gas at a temperature T1T_1T1​, an increase in temperature of 1 degree Celsius (1 K) will cause the volume to increase by 1273\frac{1}{273}2731​ of the original volume. This is because the volume change per degree is proportional to the initial temperature in Kelvin.

Example:

If the gas is initially at T1=273 KT_1 = 273 \, \text{K}T1​=273K, increasing the temperature by 1 K will result in a volume increase of 1273\frac{1}{273}2731​ of the original volume.

Thus, the correct option is (b) 1273\frac{1}{273}2731​ of the original volume of the gas.