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# $4g$ of $O_2$ gas has pressure $P_0$ ad temperature $T_o$ i a vessel . On keeping the Sample at $50^{\circ}\;C$ higher temperature, $1g$ gas is given ad to maintain the original pressure $P_0$ . Then $T_0=?$

$(A)\; 50\;K \\ (B) \; 323\;K \\ (C)\;423\;K \\ (D)\;150\;K$

Since , $PV= nRT$
$\large\frac{P_1 V_1}{n_1T_1}=\frac{P_2 V_2}{n_2 T_2}$
$\large\frac{P_1V_1}{432 \times T_0} =\large\frac{P_0 V}{332 \times (T+50)}$
$T_o= 150$
Hence D is the correct answer.