Question

A gas at temperature $ 27{}^\circ C $ and pressure 30 atm. is allowed to expand to 1 atm pressure. If the volume becomes 10 times its initial volume, the final temperature becomes:

• A. $ 100{}^\circ C $
• B. 373 K
• C. $ 373{}^\circ C $
• D. $ -173{}^\circ C $

Answer 1

Answer: (D)

Ideal gas equation is $ PV=RT\Rightarrow PV\propto T $ Hence, $ \frac{{{P}_{1}}{{V}_{1}}}{{{T}_{1}}}=\frac{{{P}_{2}}{{V}_{2}}}{{{T}_{2}}} $ $ \frac{30V}{300}=\frac{1\times 10V}{{{T}_{2}}} $ $ {{T}_{2}}=\frac{300\times 10}{30}=100K=-173{{\,}^{o}}C $