question_answer

A perfect gas is found to obey the relation \[{{\operatorname{pV}}^{{}^{3}/{}_{2}}}=\]constant, during an adiabatic pro- cess, if such a gas initially at a temperature T, is compressed to half of its initial volume, then its final temperature will be:

A) 2T                   

B) 4T    

C) \[\sqrt{2}T\]                  

D) \[2\sqrt{2}T\]

Correct Answer: C

Solution :

Bus stats from rest \[{{\operatorname{v}}^{2}}={{u}^{2}}+2as\] \[{{\operatorname{v}}^{2}} =0+2\times 2.5\times 45\] \[{{\operatorname{v}}^{2}} =5\times 45\] \[{{\operatorname{v}}^{2}} = 225\] \[\operatorname{v} = 15m/s\]