A well-insulated, rigid vessel is divided into two compartments by a partition. The volume of each compartment is 0.1 m3. One compartment initially contains 400 moles of gas A at 300 K, and the other compartment is initially evacuated. The partition is then removed and the gas is allowed to equilibrate. Gas A is not ideal under these circumstances but can be described well by the following equation of state:

Calculate the fi nal temperature.

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with constants: P = RT v-b - a Tv a = 42 [(J K m) /mol2] and b = 3.2 x 10-5 [m/mol]. You may take the ideal gas heat capacity of gas A to be: C = (3/2)R