Question

If the pressure of the gas contained in a vessel is increased by $0.4\%$, when heated through $1^{o}C$. What is the initial temperature of the gas ?

Answer 1

$\frac{T+1}{T}=\frac{P+\frac{0.4}{100}P}{P}$

$\Rightarrow 1+\frac{1}{T}=1+\frac{0.4}{100}$

$\Rightarrow T=\frac{100}{0.4}=\frac{1000}{4}$K

$\Rightarrow T=250$K