Question

The temperature of a gas contained in a closed vessel of constant volume increases by $1^\circ$C when the pressure of the gas is increased by $1\%$. The initial temperature of the gas is ..........

• A. 100$^\circ$C
• B. 200 K
• C. 100 K
• D. 273$^\circ$C

Answer 1

The Correct Option is C

According to Gay Lussac's law $p \propto T$ $\therefore \frac{d p}{p} \times 100 =\frac{d T}{T} \times 100$ $1 =\frac{1}{T} \times 100$ $\Rightarrow T =100\, K$