Question

An ideal gas has a molar heat capacity at constant pressure = C_p 2.5 R. The gas is kept in a losed vessel of Volume 0.0083 m³, at a temperature of 300 K and a pressure of 1.6 x 10⁶  Nm^-2. An amount 2.49 x 10⁴ J of Heat energy is supplied to the gas. Calculate the final temperature and pressure to the gas.

Answer 1

First calculate the number of moles (amount of gas) by using ideal gas equation, temperature can be calculated using internal energy and n. after calculating temperature pressure (P₂ ) can be calculated using following equation.

We have, = C_V = C_P -R = 2.5 R -R = 1.5 R

The amount of the gas (in moles) is n = PV/RT

As the gas is kept in a closed vessel, its volume is constant, Thus, we have 

The final temperature is 300 K + 377 K = 677K.