First slide

Work done by gas

Question

When an ideas gas ( $γ$ = 7/3) is heated under constant pressure, then what percentage of given heat energy will be utilised is doing external work

Easy

A

43 %
B

57 %
C

29 %
D

40 %

Solution

$ΔQ = ΔU + ΔW \Rightarrow \frac{ΔW}{ΔQ} = 1 - \frac{ΔU}{ΔQ}$
$\Rightarrow \frac{ΔW}{ΔQ} = 1 - \frac{{nC}_{V} ΔT}{{nC}_{P} ΔT}$
$= 1 - \frac{3}{7} = \frac{4}{7} \approx 0 .57$

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