JEE Main 2020 — Thermodynamics Question with Solution

The change in the magnitude of the volume of an ideal gas when a small additional pressure $∆\mathrm{P}$ is applied at a constant temperature, is the same as the change when the temperature is reduced by a small quantity $∆\mathrm{T}$ at constant pressure. The initial temperature and pressure of the gas were $300 \mathrm{K}$and $2 \mathrm{atm}$ respectively. If  $\left|\mathrm{\Delta T}\right|=\mathrm{C}\left|\mathrm{\Delta P}\right|$ then value of $\mathrm{C}$ in $(\mathrm{K}/\mathrm{atm})$  is __________