An ideal monoatomic gas expands to twice its volume. If the process is isothermal, the magnitude of work done by the gas is $W_i$. If the process is adiabatic, the magnitude of work done by the gas is $W_a$. Which of the following is true?
KVPY 2012, Medium
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(b)

Indicator diagrams for isothermal and adiabatic processes are as shown below.

In above diagram, $A B$ is isothermal process and $A C$ is adiabatic process.

Work done $=$ Area under $p \cdot V$ graph So, $\quad W_{A B} > W_{A C}$ Also, gas expands, so work done is positive.

$\Rightarrow \quad W_i > W_a > 0$

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