1. Tardigrade
  2. Question
  3. Physics
  4. When the temperature of a gas filled in a closed vessel is increased by 1 °C, its pressure increases by 0.4 percent. The initial temperature of gas was

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. 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

Kinetic Theory

Solution:

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 $\quad T_{1} =\left(T_{1} +1\right) \left(\frac{100}{100.4}\right)$
$\Rightarrow T_{1} = 250\,K$