An insulated box with a total volume of 1 m 3 is separated into two compartments

Question

An insulated box with a total volume of 1 m3 is separated into two compartments of equal volume. Oxygen is contained in both sides of the box. One side of the box is initially at 300 deg C with a pressure of 150 kPa, and the other side is at a temperature of 400 deg C and a pressure of 200 kPa.

If the division between the two boxes is broxen, what will be the change in entropy of the system (in kJ/K).

The Cp and Cv values for oxygen are 0.92 kJ/kgK and 0.66 kJ/kgK, respectively.

Ans.: 0.195 kJ/K

Explanation / Answer

let volume of one compartment be x, then the other compartment volume is 1-x p1v1/t1 = p2v2/t2 150*x/300 = 200*(1-x)/400 x=0.5 m3 entropy change of the gas s2 - s1 = cv * ln ( T2 / T1) + R * ln ( v2 / v1)

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