Aclosed tank contains oxygen at 20°c at a gage pressure of 150 kpa. determine the temperature if the oxygen is compressed isentropically to a gage pressure of 325 kpa. the atmospheric pressure is 101.3 kpa and the specific heat ratio of oxygen is 1.40. express your answer in °c to three significant figures.

Explanation:

As it is given that process is entropic which means that it is reversible adiabatic in nature.

Also, the given data is as follows.

      = = (20 + 273) K = 293 K

           Gage pressure = 150 kPa,      Atmospheric pressure = 101.3 kPa

Hence, pressure () will be (150 kPa + 101.3 kPa) = 251.3 kPa

and,  pressure () will be (325 kPa + 101.3 kPa) = 426.3 kPa

Also, specific heat ratio ()is given as 1.40.

Hence, relation between T and P is as follows.

        = constant

      =

              =

                          =

                          = 340.758 K

Hence, convert this temperature into degree celsius as follows.

                           =

Thus, we can conclude that the temperature is .