The gas law is for ideal gas at absolute temperature is $\"\"$ .

Here number moles of gas $\"\"$ mol, gas constant $\"\"$ , Pressure $\"\"$ atm.

Rate of increase of pressure is $\"\"$ .

Rate of decrease of volume is $\"\"$ .

Rearranging the gas law as

$\"\"$

Differentiate on each side with respect to $\"\"$ .

$\"\"$

Substitute the corresponding values in above equation.

$\"\"$

The rate of increase in temperature $\"\"$ .