A gas at temperature `27^(0)C` and pressure `30` atmosphere is allowed to expand to one atmospheric pressure. If the volume becomes 10 times its initial volume, the final temerpature becomes

Options

A. `100^(@)C`
B. `373K`
C. `373^(@)C`
D. `-173^(@)C`

Answer

D

Explanation

`(P_(2)V_(2))/(T_(2))=(P_(1)V_(1))/(T_(1))`
`(T_(2))/(P_(2)V_(2))=(T_(1))/(P_(1)V_(1))`
`T_(2)=(P_(2))/(P_(1))xx(V_(2))/(V_(1))xxT_(1)`
`=(1xx10V_(1)xx300)/(30V_(1)xx1)=(300)/(3)=100^(@)K`
`t_(2)=100-273=-173^(@)C`