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The following graph represents the T-V curves of an ideal gas (where T is the temperature and V the volume) at three pressures P1, P2 and P3 compared with those of Charles's law represented as dotted

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Question

The following graph represents the T-V curves of an ideal gas (where T is the temperature and V the volume) at three pressures P1, P2 and P3 compared with those of Charles’s law represented as dotted lines.

Options

  • P2 > P1 > P3

  • P1 > P2 > P3

  • P3 > P2 > P1

  • P1 > P3 > P2

MCQ
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Solution

P1 > P2 > P3

Explanation:

From an ideal gas equation:

PV = nRT

⇒ T = `(P/(n R)) V`

i.e. T ∝ V and slope will be `P/(n R)`.

So,

P1 > P2 > P3

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Equation of State of a Perfect Gas
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