Question

A gas X at -33°C is heated to 127°C at constant pressure. Calculate the percentage increase in the volume of the gas

Answer 1

​​Let initial volume of Gas be $V_1$ and final volume of gas be $V_2$.
Given
initial temperature $T_1$ = -33℃= 273+-33
=240K
final tempearture
$T_2$ = 127 C = 273 +127 =400K

​​​​​​
since pressure is constant, temperature -volume varying, Charles law will be applied
Applying Charles Law
$\frac{V_1}{T_1}=\frac{V_2}{T_2}$

Let the $V_1$ = 1L

$V_2$ = $T_2$ $V_1$ /$T_1$

= 400 K/240 K = 1.67

% change in volume = (1.67L-1L)/1L x 100 = 67%

As the temperature of gas increases, the volume of gas will increase by 67%.