A \(4 \mathrm{~m}^{3}\) rigid tank contains nitrogen gas at \(400 \mathrm{kPa}\) and \(350 \mathrm{~K}\). Now heat is transferred to the nitrogen in the tank and the pressure of nitrogen rises to \(700 \mathrm{kPa}\). The work done during the process is

(a) \(900 \mathrm{~kJ}\)

(b) \(500 \mathrm{~kJ}\)

(c) \(700 \mathrm{~kJ}\)

(d) \(0 \mathrm{~kJ}\)