Question

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

• A. 250°C
• B. 25 °C
• C. 250 K
• D. 25 K

Answer 1

Answer: (C)

250 K

Answer 2

Using, PV = nRT

Since volume is constant

$\therefore\frac{P_{2}}{P_{1}} = \frac{T_{2}}{T_{1}}orT_{1} = T_{2} \times \frac{P_{1}}{P_{2}}$ or $T_{1} = (T_{1} + 1)\left( \frac{100}{100.4} \right)$

$T_{1} = (T_{1} + 1)0.99$

$\Rightarrow T_{1} = 250K$