Question

At what centigrade temperature, will the volume of a given mass of gas at 0° C triple itself if pressure is kept constant?

Answer 1

According to Charles' law, at constant pressure, temperature of a given mass of gas is directly proportional to the volume of the gas.

i.e.; V∝ T

Therefore, $\frac{V_1}{T_1}=\frac{V_2}{T_2}$

Given, Temperature T₁ =0° C= 273 K (T° C+273= T K)

Volume at temperature T₁= V₁

Given, Final volume= 3V₁

Substituting the values in the above equation,

$\frac{V_1}{273}=\frac{3V_1}{T_2}$$T_2=\frac{3V_1\times 273}{V_1}=819K$

T₂ °C= 819 K- 273=546° C

At constant pressure, the volume of a given mass of gas at 0° C triple itself at 546° C.