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12.Kinetic Theory of Gases
normal
Four moles of an ideal monoatomic gas undergoes a cyclic process $ABCA$ as shown in figure find ratio of temperature of $A$ and $B$ .
A
$\frac {4}{7}$
B
$\frac {5}{7}$
C
$\frac {2}{7}$
D
None of these
Solution
$\frac{\mathrm{T}_{\mathrm{A}}}{\mathrm{T}_{\mathrm{B}}}=\frac{\mathrm{P}_{0} \mathrm{V}_{0}}{\left(2 \mathrm{P}_{0}\right) \mathrm{V}_{\mathrm{B}}}=\mathrm{P}_{0} \frac{\mathrm{V}_{0}}{\mathrm{V}_{\mathrm{B}}}=\frac{2}{7}$
$\left(\mathrm{V}_{\mathrm{B}}-\mathrm{V}_{0}\right) \tan 60^{\circ}=\left(4 \mathrm{V}_{0}-\mathrm{V}_{\mathrm{B}}\right) \tan 30^{\circ}$
$\mathrm{V}_{\mathrm{B}}=\frac{7}{4} \mathrm{V}_{0}$
Standard 11
Physics
