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I. U 2. (24 points) A mixture of gases, A and B, is held in a cylinder of piston volume V0 at a pressure pa

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I. U 2. (24 points) A mixture of gases, A and B, is held in a cylinder of piston volume V0 at a pressure pa and has a temperature To. At rst, it is resting on a Styrofoam insulator that keeps the cylinder Isolated from the thermal reservoir so at rst there is no heat V exchange between the gases in the cylinder and the outside world. -- (a) A chemical reaction A + B '3 2C + D occurs (completely) for which each individual molecular reaction is endothermic, , . ... ! Styrofoam insulator requiring an energy a. The lid is locked so that the volume does , not change. Indicate for the resulting gas inside the cylinder Heat Sink T whether the following quantities increase (1), decrease (D), remain the same (S), or there is not enough information given to decide (N). Remember that more negative is decrease. (8 pts) A. Chemical energy B. Thermal energy C. Internal energy . D. Enthaipy (H = U... + pV) l .' Explain your reasoning briey. (b) Then the insulator is taken away, and the cylinder is placed directly on the heat sink, at the cylinder's original temperature. After the system has come to equilibrium, how do the following quantities compare to the initial values before the chemical reaction happened? Assume the total number of degrees of freedom has not changed. (8 pts) A. Chemical energy B. Thermal energy C. lntemal energy D. Entropy Explain your reasoning briey. (c) Now suppose the entire experiment is restarted with the insulator in place but with the cylinder lid unlocked, so that the pressure is constant throughout the reaction. After the system has come to equilibrium, how do the followmg quantities compare to the initial values before the chemical reaction happened? (8 pts) A. Volume B. Thermal energy C. Enthaipy D. Gibbs Free Energy (0 = H TS) Explain your reasoning briey

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