A gas at `27^@ C` temperature and 30 atmospheric pressure is allowed to expand to the atmospheric pressure. If the volume becomes 10 times its initial volume, the final temperature becomes .....

Options

A. `100^@C`
B. `173^@C`
C. `273^@C`
D. `-173^@C`

Answer

D

Explanation

Here initial temperature of gas
`(T_1)=27^@C` =300 K
Initial pressure `(P_1)`=30 atm
Initial volume `(V_2)`=10 V
Final pressure `(P_2)`=1 atm
Final volume `(V_2)`=10 V
According to general equation of gas,
`(P_1V_1)/T_1=(P_2V_2)/T_2`
`therefore (30xxV)/300=(1xx10V)/T_2`
`therefore T_2`=100 K =`-173^@C`