2) Two different gases A and B are mixed. Calculate change of entropy. a) Assume pressure...

2) Two different gases A and B are mixed. Calculate change of entropy.

a) Assume pressure and temperature of A and B are the same.

b) Now assume pressure and temperature of A and B are different. The system is thermally isolated. Calculate entropy and final temperature, Tf. (Use conservation of energy, gas laws, expressions for entropy change for gases that we discussed earlier).

c)Two solid bodies are initially at T1 and T2. They are brought into thermal contact and the heat exchange occur. Calculate change of entropy, final temperature. Assume that we know heat capacities of the bodies, Cv1 and Cv2.

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Expert Solution

Consider an insulated rigid container of gas separated into two halves by a heat conducting partition so the temperature of the gas in each part is the same. One side contains air, the other side another gas, say argon, both regarded as ideal gases. The mass of gas in each side is such that the pressure is also the same.

The entropy of this system is the sum of the entropies of the two parts: . Suppose the partition is taken away so the gases are free to diffuse throughout the volume. For an ideal gas, the energy is not a function of volume, and, for each gas, there is no change in temperature. (The energy of the overall system is unchanged, the two gases were at the same temperature initially, so the final temperature is the same as the initial temperature.) The entropy change of each gas is thus the same as that for a reversible isothermal expansion from the initial specific volume to the final specific volume, . For a mass of ideal gas, the entropy change is . The entropy change of the system is

queen_honey_blossom answered 1 year ago

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