$(a)\;177^{\large\circ}C\qquad(b)\;108^{\large\circ}C\qquad(c)\;140^{\large\circ}C\qquad(d)\;150^{\large\circ}C$

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Initial temperature = 300 K

Let no. of mole at 300K = n

Let new temperature be = T K

Mole coming out at T K = $\large\frac{1}{3} n$

Mole left at T K =$ n - \large\frac{1}{3}n$

$ \;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\; = \large\frac{2}{3}n$

Under constant P and V

$n_1T_1 = n_2T_2$

$n\times300 = \large\frac{2}{3}n\times T$

T = 450 K

$ = 177^{\large\circ}C$

Hence answer is (A)

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Why did you used the number of moles here??