question_answer

If the pressure of a gas becomes 5 times its original pressure, then the density of the gas changes from d gm/lit to____ gm/lit.

Answer:

\[{{P}_{1}}=P\text{ }atm,\]                          \[{{P}_{2}}=5P\text{ }atm\] \[{{d}_{1}}=d\text{ }gm/lit.,\]    \[={{d}_{2}}=?\] \[\Rightarrow \] \[\frac{{{P}_{1}}}{{{d}_{1}}}=\frac{{{P}_{2}}}{{{d}_{2}}}\Rightarrow {{d}_{2}}=\frac{{{P}_{2}}}{{{P}_{1}}}\times {{d}_{1}}\]______(a) \[{{d}_{2}}=\frac{5P}{P}\times d=5d\,gm/litre\]