A monoatomic gas (y= 5 3 ) initially at 27^ C having volume V is suddenly compressed to one-eight of its original volume ( V 8 ) . After the compression temperature becomes.

Step-by-step solution

The change in volume is sudden so, we have to consider adiabatic compression: T₁ V₁^ -1 =T₂ V₂^ -1 T₂=T₁ ( V₁ V₂ )^ Y-1 =(273 ~K +27 ~K ) ( 8 V V₂ )^ 5 3 -1 =4 300 ~K =1200 ~K