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11. thermodynamics — Physics STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 SciencePhysics11. thermodynamics1 Mark
MCQ
One mole of a monoatomic gas and one mole of a diatomic gas are initially in the same state. Both gases are expanded isothermally and then adiabatically, such that they acquire the same final state. Choose the correct statement.
  • ✓
    Work done by diatomic gas is more than that by monoatomic gas
  • B
    Work done by monoatomic gas is more than that by diatomic gas
  • C
    Work done by both the gases are equal
  • D
    Change in internal energies of both the gases are equal
✓

Answer

Correct option: A.
Work done by diatomic gas is more than that by monoatomic gas
a
$(a)$ Expansion curves are as shown below.

As, slope of an adiabatic curve $=-\gamma\left(\frac{p}{V}\right)$

Also, $\gamma_{\text {diatomic }}\left(=\frac{7}{5}\right) < \gamma_{\text {monoatomic }}\left(=\frac{5}{3}\right)$

So, adiabatic expansion will be more stecp for monoatomic gas, whereas isotherms for both gases are nearly same. As, work done $=$ area under $p-V$ graph

$\therefore$ Work done is more for diatomic gas.

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