question_answer

A certain mass of a dry gas at \[{{26}^{o}}C\] and 760mm pressure has a density of 2.8 gm/cc. What will be its density at \[{{26}^{o}}C\] and 740 mm pressure?

Answer:

\[{{P}_{1}}=760\text{ }mm\]                       \[{{P}_{2}}=740\text{ }mm\] \[{{d}_{1}}=2.8\text{ }g/cc\]                       \[{{d}_{2}}=?\] \[{{t}_{1}}={{t}_{2}}=26{}^\circ C=constant\] \[\frac{P}{d}=K\] \[\Rightarrow \]\[\frac{{{P}_{1}}}{{{d}_{1}}}=\frac{{{P}_{2}}}{{{d}_{2}}}\Rightarrow {{d}_{2}}=\frac{{{P}_{2}}}{{{P}_{1}}}\times {{d}_{1}}\] \[{{d}_{2}}=\frac{740}{760}\times 2.8=2.726\,g/cc\]