A sample of ideal gas (gamma = 1.4) is heated at constant pressure. If an 100, J is supplied to gas,

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11.Thermodynamics

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A sample of ideal gas $(\gamma = 1.4)$ is heated at constant pressure. If an $100\, J$ is supplied to gas, the work done by the gas is ...... $J$

A

$42.12$

B

$56.28$

C

$28.57$

D

$36.23$

Solution

At constant pressure

$\mathrm{W}=\mathrm{P} \Delta \mathrm{V}=\mathrm{n} \mathrm{R} \Delta \mathrm{T}$

But $Q=n C_{p} \Delta T=n \frac{\gamma R}{r-1}$

$\Rightarrow \quad W=Q\left(\frac{\gamma-1}{r}\right)=100\left(\frac{1.4-1}{1.4}\right)=28.57 \mathrm{J}$

Standard 11

Physics

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