Answer to Question #303448 in Thermal Power Engineering for nisha

Question #303448

A piston–cylinder device contains 1.2 kg of nitrogen gas at 120 kPa and 27°C. The gas is now compressed slowly in a polytropic process during which PV1.3 = constant. The process ends when the volume is reduced by one-half. Determine the entropy change of nitrogen during this process.


1
Expert's answer
2022-02-28T11:09:42-0500

Solution;

From the tables;

"R=0.297kJ\/kgK"

"C_v=0.743kJ\/kgK"

From the polytropic relation;

"\\frac{T_2}{T_1}=(\\frac{v_1}{v_2})^{n-1}"

"T_2=300(2)^{0.3}=369.34K"

Change in entropy;

"\\Delta s=m[C_vln(\\frac{T_2}{T_1})+Rln(\\frac{v_2}{v_1})]"

"\\Delta s=1.2[0.743ln(\\frac{369.34}{300})+0.297ln(0.5)]"

"\\Delta s=-0.0616kJ\/K"




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