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System, Surroundings, Intensive, Extensive Properties

An open vesse...

Question

An open vessel is heated from $27^{o}$ to $227^{o} C$ . The percentage of air expelled out is:

A

20

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B

30

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C

40

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D

50

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Solution

The correct option is B 40
According to ideal gas equation:
$n_{1} T_{1} = n_{2} T_{2}$ ( $V, P$ are constant)
$n_{1} \times 300 = n_{2} \times 500$
$n_{2} = \frac{3 n_{1}}{5}$
$∴$ Mole given out $= \frac{2}{5} n_{1}$
% $= \frac{2}{5} n_{1} \times \frac{100}{n_{1}} = 40$ %

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