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11.Thermodynamics
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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?
A
$W_i=W_a > 0$
B
$W_i > W_{a} > 0$
C
$W_i > W_{a}=0$
D
$W_{a} > W_i=0$
(KVPY-2012)
Solution
(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.
$\Rightarrow \quad W_i > W_a > 0$
Standard 11
Physics
