A diesel engine works at a high compression ratio to compress air until it reaches a temperature high enough to ignite the diesel fuel. Suppose the compression ratio (ratio of volumes) of a specific diesel engine is 24 to 1. If air enters a cylinder at 1 atm and is compressed adiabatically, the compressed air reaches a pressure of 66.0 atm. Assuming that the air enters the engine at room temperature (20.3°C) and that the air can be treated as an ideal gas, find the temperature (in K) of the compressed air.

T(last)=T(first)*((P last* V last)/(P first* value ratio of volumes(i.e 24)* V last)