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11. thermodynamics — Physics STD 11 Science — Question

Rajasthan BoardEnglish MediumSTD 11 SciencePhysics11. thermodynamics1 Mark
MCQ
Two gases have the same initial pressure, volume and temperatue. They expand to the same final volume, one adiabatically and the other isothermally
  • A
    The final temperature is greater for the isothermal process
  • B
    The final pressure is greater for the isothermal process
  • C
    The work done by the gas is greater for the isothermal process
  • ✓
    All of the above 
✓

Answer

Correct option: D.
All of the above 
d
Work done is equal to area under the P-V graph, thus work done by gas is greater for isothermal process.

For isothermal process: $T_{2}=T_{o}$

For adibatic process: $T_{o}\left(V_{o}\right)^{\gamma-1}=T(V)^{\gamma-1}$

As $V>V_{o} \Longrightarrow T

Thus final temp. is greater for isothermal process.

For isothermal process: $P_{o} V_{o}=P_{i} V \quad \Longrightarrow P_{i}=P_{o} \frac{V_{o}}{V}$

For adibatic process: $P_{o}\left(V_{o}\right)^{\gamma}=P_{a}(V)^{\gamma}$

$\Longrightarrow P_{a}=P_{o}\left(\frac{V_{o}}{V}\right)^{\gamma}$

As $\gamma>1 \quad$ (always) $\Longrightarrow P_{i}>P_{a}$

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