A monoatomic gas is supplied heat Q very slowly keeping pressure constant. work done by gas will be

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12.Kinetic Theory of Gases

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A monoatomic gas is supplied heat $Q$ very slowly keeping pressure constant. The work done by the gas will be

A

$\frac {2}{3}\,\,Q$

B

$\frac {3}{4}\,\,Q$

C

$\frac {2}{5}\,\,Q$

D

$\frac {3}{5}\,\,Q$

Solution

$\mathrm{Q} =\mu \mathrm{C}_{\mathrm{p}} \Delta \mathrm{T}=\mu\left(\frac{5 \mathrm{R}}{2}\right) \Delta \mathrm{T} $

$ \mathrm{Q} =\frac{5}{2} \mu \mathrm{R} \Delta \mathrm{T} $

$ \frac{2 \mathrm{Q}}{5} =\mu \mathrm{R} \Delta \mathrm{T} \text { for }(\mathrm{P}=\mathrm{constant}) $

$=\left(\frac{2 \mathrm{Q}}{5}=\mathrm{work}\right) $

Standard 11

Physics

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