Q73 / 90 · KVPY 2015 (SB/SX) · Physics

The state of an ideal gas was changed isobarically. The graph depicts three such isobaric lines. Which of the following is true about the pressures of the gas? Figure

  • A
    $\mathrm{P}_{1}=\mathrm{P}_{2}=\mathrm{P}_{3}$
  • Correct answer
    B
    $\mathrm{P}_{1}>\mathrm{P}_{2}>\mathrm{P}_{3}$
  • C
    $\mathrm{P}_{1} < \mathrm{P}_{2} < \mathrm{P}_{3}$
  • D
    $\mathrm{P}_{1} / \mathrm{P}_{2}=\mathrm{P}_{3} / \mathrm{P}_{1}$

Solution

For constant temperature $P \propto \frac{1}{V}$ $$ \mathrm{V}_{3}>\mathbf{V}_{2}>\mathbf{V}_{1} $$ so $\mathrm{P}_{3} < \mathrm{P}_{2} < \mathrm{P}_{1}$

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

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