One mole of an ideal gas in initial state A undergoes a cylic process ABCA, as shown in the figure. Its pressure at A is `P_0`. Choose the correct option (s) from the following

Options

A. Internal energies at A and B are the same
B. Work done by the gas in process AB is `P_0V_0 ln4`
C. Pressure at C is `(P_0)/4`
D. Temperature at C is `(T_0)/4`

Answer

A, B

Explanation

(a,b)
Process A to B
As the temperature remains the same, this process is
isothermal. Therefore there is no change in the internal
energy. Option (a) is correct.
Also `P_0V_0=P_Bxx4V_0`
`rArrP_B=(P_0)/4`
Work done
`W=nRT_0log_e (4V_0)/(V_0)`
`=P_0V_0log_e4 [:'P_0V_0=nRT_0]`
The process BC is not clear. Therefore no judgment can be
made for point C.