In the given $P-V$ diagram, a monoatomic gas $\left(\gamma =\frac{5}{3}\right)$ is first compressed adiabatically from state $A$ state $B$. Then it expands isothermally from state $B$ to state $C$. [Given : ${\left(\frac{1}{3}\right)}^{0.6}=0.5,\ln 2\approx 0.7$].

Which of the following statement(s) is(are) correct?

• A

  The magnitude of the total work done in the process $A\to B\to C$ is $144 \mathrm{kJ}$
• Correct answer
  B

  The magnitude of the work done in the process $B\to C$ is $84\mathrm{kJ}$.
• Correct answer
  C

  The magnitude of the work done in the process $A\to B$ is $60\mathrm{kJ}$.
• Correct answer
  D

  The magnitude of the work done in the process $C\to A$ is zero.

Hence, the correct answer is options: 'B', 'C', 'D'.