The change in the magnitude of the volume of an ideal gas when a small additional pressure Δ P is applied at a constant temperature, is the same as…

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