A well-insulated pipe of 2.54 cm inside diameter carries air at 2 bar pressure and 366.5 K. It is connected to a 0.0283 m^3 insulated bulge, as shown. The air in the bulge is initially at one bar pressure and 311 K. A and D are flow meters which accurately measure the air mass flow rate. Valves B and C control the air flow into and out of the bulge. Connected to the bulge is a 0.283 m^3 rigid, adiabatic tank which is initially evacuated to a very low pressure. At the start of the operation, valve B is opened to allow 4.54 g/s of air flow into the bulge; simultaneously, valve C is operated to transfer exactly 4.54 g/s from the bulge into the tank. These flows are maintained constant as measured by the flow meters. Air may be assumed to be an ideal gas with a specific heat ratio γ = Cp/Cv = 1.4, Cp = 29.3 J/mol⋅K, and molecular weight = 29. Gas constant R = 8.314 m^3⋅Pa/mol⋅K. Reference temperature is 0 K. Determine dT/dt when the temperature in the bulge is 340 K and the mole of air in the bulge is 1.12 mol.