An ideal gas has a molar heat capacity pressure $C_p = 2.5 R$. The gas is kept in a closed volume of $0.083 m^3$ at a temperature of $300 ^{\circ}K$ and a pressure of $10^5 N/m^2$. $200J$ of heat is supplied to the gas. Calculate the final temperature and pressure of the gas.

Question

(A) $696 ^{\circ}K$, $1.02 \times 10^5 N/m^2$ (B) $69.6 ^{\circ}K$, $10.2 \times 10^5 N/m^2$ (C) $609.6 ^{\circ}K$, $1.02 \times 10^5 N/m^2$ (D) $6.96 ^{\circ}K$, $10.2 \times 10^5 N/m^2$