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11. thermodynamics — Physics STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 SciencePhysics11. thermodynamics1 Mark
MCQ
One mole of a perfect gas in a cylinder fitted with a piston has a pressure $P,$ volume $V$ and temperature $T.$ If the temperature is increased by $1 \,K$ keeping pressure constant, the increase in volume is
  • A
    $\frac{{2V}}{{273}}$
  • B
    $\frac{V}{{91}}$
  • ✓
    $\frac{V}{{273}}$
  • D
    $V$
✓

Answer

Correct option: C.
$\frac{V}{{273}}$
c
(c) For isobaric process $\frac{{{V_2}}}{{{V_1}}} = \frac{{{T_2}}}{{{T_1}}} \Rightarrow {V_2} = V \times \frac{{274}}{{273}}$
Increase $ = \frac{{274\;V}}{{273}} - V = \frac{V}{{273}}$

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