A cylinder is fitted with a frictionless piston held with constant pressure and it contains one mole of an ideal gas. Cylinder walls and piston are perfectly insulated. Cylinder is also fitted with a resistor of resistance R = 2k$\mathrm{\Omega }$ which is connected to a fully charged capacitor C = 75mF. Initial potential difference across the capacitor is $\frac{640}{3}\mathrm{V}$ with switch S opened.

Switch S is closed for 2.5 {ln(4)} minutes, temperature of gas is found increased by ${\text{72K,R=8.3\hspace{0.17em}J\hspace{0.17em}mol}}^{–\mathrm{1}}{\mathrm{K}}^{–\mathrm{1}}$ Now, answer the following questions. (where ln is natural log)