Question

When the temperature of a gas filled in a closed vessel is increased by $1\,^{\circ}C$, its pressure increases by $0.4$ percent. The initial temperature of gas was

• A. $250\,^{\circ}C$
• B. $25\,^{\circ}C$
• C. $250\, K$
• D. $25\, K$

Answer 1

Answer: (C)

$250\, K$

Answer 2

Using, $PV = nRT$ Since volume is constant $\therefore\quad \frac{P_{2}}{P_{1}} = \frac{T_{2}}{T_{1}}$ or $T_{1} = T_{2} \times \frac{P_{1}}{P_{2}}$ or $\quad T_{1} =\left(T_{1} +1\right) \left(\frac{100}{100.4}\right)$ $\Rightarrow T_{1} = 250\,K$