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
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
Updated On: Jul 7, 2022
- $ 250\,^{\circ}C$
- $ 25\,^{\circ}C$
- $250\, K$
- $25\, K$
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The Correct Option is C
Solution and Explanation
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 $\quad T_{1} =\left(T_{1} +1\right) \left(\frac{100}{100.4}\right)$
$\Rightarrow T_{1} = 250\,K$
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