Three moles of an ideal monotomic gas performs a cycle (A B C D A ) as shown in the figure. The temperatures of the gas at the states (A, B, C ) and (D ) are (400 ~K , 800 ~K , 2400 ~K ) and (1200 ~K ), respectively. The work done by the gas during this cycle is ( (R ) is universal gas constant)

Step-by-step solution

According to the question, Given, number of moles of an ideal monoatomic gas, (n=3 ), temperature of the gas of state (A, T_A=400 ~K ), temperature of the gas at state (B, T_B=800 ~K ), temperature of the gas at state (C, T_C=2400 ~K ), and temperature of the gas at state (D, T_D=1200 ~K ), Now, work done by the gas during this cycle is, (W=n R T ) ( ( ) Work done in a isothermal process) So, (W_ nct =W_ A B +W_ B C +W_ C D +W_ D A ) ( aligned & W_ net =n R [ (T_B-T_A )+ (T_C-T_B )+ (T_D-T_C )- (T_D-T_A ) ] & W_ ne