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:

`(P_iV_i)/(T_i)=(P_fV_f)/(T_f)`

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

`\begin{gathered} (P\cdot V_i)/(T)=(P\cdot V_f)/(2.53T)\\ \\ V_i=(V_f)/(2.53)\\ \\ V_f=2.53V_i \end{gathered}`

Therefore the volume also changes by a factor of 2.53.