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11. thermodynamics — Physics STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 SciencePhysics11. thermodynamics1 Mark
MCQ
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
    $W_i=W_a > 0$
  • ✓
    $W_i > W_{a} > 0$
  • C
    $W_i > W_{a}=0$
  • D
    $W_{a} > W_i=0$
✓

Answer

Correct option: B.
$W_i > W_{a} > 0$
b
(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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