question_answer

A sample of a given mass of gas at a constant temperature occupies \[95c{{m}^{3}}\] under a pressure of \[9.962\text{ }\times \text{ 10}W{{m}^{-2}}\]. At the same temperature, what is its volume at a pressure of \[10.13\text{ }\times \text{ }{{10}^{4\text{ }}}N{{m}^{-2}}\]

Answer:

\[{{P}_{1}}{{V}_{1}}={{P}_{2}}{{V}_{2}}\]               \[\Rightarrow \]\[9.962\times {{10}^{4}}\times 95=10.13\times {{10}^{4}}\times {{V}_{2}}\] \[\Rightarrow \] \[{{V}_{2}}=\frac{9.962\times {{10}^{4}}\times 95}{10.13\times {{10}^{4}}}=93.424\text{ }c{{m}^{3}}\]