Question

If the pressure of a gas contained in a closed vessel increases by x% when heated by 1${}^0$C , its initial temperature is

• A. $\frac{100}{x}$ Kelvin
• B. $\frac{100}{x}$ Celsius
• C. $\frac{x+100}{x}$ Kelvin
• D. $\frac{100-x}{x}$ Celsius

Answer 1

The correct option is A $\frac{100}{x}$ Kelvin

Let the initial pressure and temperature be P and T.

From Ideal Gas Law,

$P\propto T$

$⟹\frac{(1+\frac{x}{100})P}{P}=\frac{T+1}{T}$

• $⟹T=\frac{100}{x}K$