An ideal monatomic gas expands to twice its volume. If the process is isothermal, the magnitude of work done by the gas is $W_{1}$. If the process is adiabatic, the magnitude of work done by the gas is $\mathrm{W}_{\mathrm{a}}$. Which of the following is true?

• A

  $\mathrm{W}_{\mathrm{i}}=\mathrm{W}_{\mathrm{a}}>0$
• B

  $\mathrm{W}_{\mathrm{i}}>\mathrm{W}_{\mathrm{a}}=0$
• Correct answer
  C

  $\mathrm{W}_{\mathrm{i}}>\mathrm{W}_{\mathrm{a}}>0$
• D

  $\mathrm{W}_{\mathrm{i}}>\mathrm{W}_{\mathrm{a}}>0$

Solution

$\mathrm{W}_{\mathrm{i}}>\mathrm{W}_{\mathrm{a}}>0$

Hence, the correct answer is option: 'C'.