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An open vessel at $27 ° C$ is heated so that air in it is expelled out. If one third of the air in the vessel is expelled out due to heating, then the final temperature of the vessel is-

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$450 K$

$40.5 ° C$

$450 ° C$

$400 K$

answer is C.

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Detailed Solution

Using: $n_{1} T_{1} = n_{2} T_{2}$

$300 \times n = \frac{2 n}{3} \times T_{2} ∴ T_{2} = 450 K$

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