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JEE Main levelSingle correct optionDifficulty 2 of 3ig013

An open vessel at $2 7^{\circ} C$ is heated until two fifths of the air originally present in it has been expelled. Assuming the volume of the vessel is constant, the final temperature is

A $500 K$
B $750 K$
C $450 K$
D $420 K$

Answer: A

For an open vessel

P

and

V

are constant, so

n_{1} T_{1} = n_{2} T_{2}

. Three fifths of the air remains:

n_{2} = 0.6 n_{1}

.

T_{2} = \frac{300}{0.6} = 500 K

.

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