Question

An ideal gas held at constant pressure has its temperature changed by a factor of 2.53x. By what factor does its volume increase or decrease?

Answer 1

In order to calculate the change in volume, we can use the relation below:

$\frac{P_iV_i}{T_i}=\frac{P_fV_f}{T_f}$

If the pressure remains the same and the temperature increases by 2.53x, we have:

$\begin{gathered} \frac{P\cdot V_i}{T}=\frac{P\cdot V_f}{2.53T}\\ \\ V_i=\frac{V_f}{2.53}\\ \\ V_f=2.53V_i \end{gathered}$

Therefore the volume also changes by a factor of 2.53.