question_answer

When a gas filled in a closed vessel is heated through\[\mathbf{1}{}^\circ \text{ }\mathbf{C}\], its pressure increases by\[\mathbf{0}.\mathbf{4}%\]. What is the initial temperature of the gas?

Answer:

                \[P'=P+\frac{0.4}{100}P,T'=T+1\]                 By Gay Lussac?s law, \[\frac{P}{T}=\frac{\left( P+\frac{0.4}{100}P \right)}{T+1}\]                 On solving, \[T=\mathbf{250K}.\]