Two rigid tanks contain 10 kg of gaseous nitrogen at 1,000 K and 500 kPa. The tw

Question

            Two rigid tanks contain 10 kg of gaseous nitrogen at 1,000 K and 500 kPa. The two tanks are thermally connected by a reversible heat pump. When the heat pump works, one tank is cooled while the other is heated without heat transfer with the surroundings. When the heated tank reaches the temperature of 1,500 K, the process ends. Assuming constant specific heats, find the final pressure and temperature in each tank.

                  Hints:

               -  Identify the cooled tank as A and the heated tank as B.

               - Since the heat pump is reversible and there is no heat transfer with the surroundings, ?SA=??SB. Which should allow you to find T_2^A when using the equation for the entropy change of an ideal gas.

               -  Notice that the mass and volume are constant in both tanks; P_1/T_1 = P_2/T_2

               Note: the final pressures are P_2^A is approx. 333.4 kPa and P_2^B is approx. 750kPa; since the answers are given, the procedure must be clearly and well presented.

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