Question

If pressure of a gas contained in a closed vessel is increased by $0.4\%$ when heated by $1^o$C, initial temperature must be.

• A. $250$K
• B. ${250}^{o}C$
• C. $2500$K
• D. ${25}^o$C

Answer 1

The correct option is A $250$K

$\frac{pV}{T}=$constant; V$=$constant
$\therefore \frac{p}{T}=$constant
$\therefore \frac{p}{T}=\frac{100\cdot 4p}{1000}\times \frac{1}{(T+1)}$
$\frac{1}{T}=\frac{100.4}{100}\times \frac{1}{(T+1)}$
$\frac{1}{T}=\frac{100.4}{100T+100}$
$T=250$K.