Question

A gas is heated through $1^{o}C$ in a closed vessel. Its pressure is increased by $0.4$%. The initial emperature of the gas is

• A. ${250}^{0}C$
• B. ${100}^{0}C$
• C. $-{75}^{0}C$
• D. $-{23}^{0}C$

Answer 1

The correct option is D $-{23}^{0}C$

Since it is a closed system the volume remains constant.

Hence,$\frac{P_1}{T_1}=\frac{P_2}{T_2}$

$P_2=1.004P_1\therefore T_2=1.004T_{1}but{T}_1+1=T_2\therefore T_1=250K{T}_1=-{23}^{\circ }$