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11. thermodynamics — Physics STD 11 Science — Question

Rajasthan BoardEnglish MediumSTD 11 SciencePhysics11. thermodynamics1 Mark
MCQ
Monoatomic, diatomic and triatomic gases whose initial volume and pressure are same, are compressed till their volume becomes half the initial volume.
  • ✓
    If the compression is adiabatic then monoatomic gas will have maximum final pressure.
  • B
    If the compression is adiabatic then triatomic gas will have maximum final pressure.
  • C
    If the compression is adiabatic then their final pressure will be same.
  • D
    If the compression is isothermal then their final pressure will be different.
✓

Answer

Correct option: A.
If the compression is adiabatic then monoatomic gas will have maximum final pressure.
a
For an adiabatic process,

$P V^{\gamma}=$ constant

or

$\frac{P_{1}}{P_{2}}=\left(\frac{V_{2}}{V_{1}}\right)^{\gamma}$

or

$P_{2}=2^{\gamma} P_{1}$

Now, for a monoatomic gas, the value of $\gamma$ is the highest

Thus, for the same change in volume, the monoatomic gas will have the maximum pressure.

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