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Ideal Gas Law

The work done...

Question

The work done during adiabatic expansion or compression of an ideal gas is given by:

A

n C_{V} Δ T

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B

\frac{n R}{(γ - 1)} (T_{2} - T_{1})

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C

- n R P_{e x t} [\frac{T_{2} P_{1} - T_{1} P_{2}}{P_{1} P_{2}}]

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D

- 2.303 R T log \frac{V_{2}}{V_{1}}

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Solution

The correct options are
A $n C_{V} Δ T$
B $\frac{n R}{(γ - 1)} (T_{2} - T_{1})$
C $- n R P_{e x t} [\frac{T_{2} P_{1} - T_{1} P_{2}}{P_{1} P_{2}}]$
$For adiabatic expansion or compression of an ideal gas following are true to give work done.$

$1. n C_{V} Δ T$
$2. \frac{n R}{(γ - 1)} (T_{2} - T_{1})$
$3. - n R P_{e x t} [\frac{T_{2} P_{1} - T_{1} P_{2}}{P_{1} P_{2}}]$

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