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