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