question_answer

A gas occupied a volume of 250 ml at 700 mm Hg pressure and\[{{250}^{o}}C\]. What additional pressure is required to reduce the gas volume to its 4/5th value at the same temperature?

Answer:

\[{{P}_{1}}{{V}_{1}}={{P}_{2}}{{V}_{2}},700\times 250={{P}_{2}}\times \left( \frac{4}{5}\times 250 \right),\] \[{{P}_{2}}=875mm\] Additional pressure \[=875700=175\text{ }mm\] of\[Hg\].