Professor Modyn uses liquid methane for a cryogenic process. The critical temperature of methane is 191 K; thus, methane must be maintained below 191 K to keep it in the liquid phase. Properties of liquid methane at various temperatures and pressures are given in the table below.Temperature (K)Pressure (MPa)Density (kg/m3)Enthalpy (kJ/kg)Entropy (kJ/kg·K)Specific Heat (kJ/kg·K)1100.5425.3208.34.8783.476 1.0425.8209.04.8753.471 2.0426.6210.54.8673.460 5.0429.1215.04.8444.4321200.5410.4243.45.1853.551 1.0411.0244.15.1803.543 2.0412.0245.45.1713.528 5.0415.2249.65.1453.486Determine the entropy change of liquid methane as it undergoes a process from 110 K110 K and 2.0 MPa2.0 MPa to 120 K120 K and 0.50 MPa0.50 MPa using actual data from the table. Next, determine the entropy change of liquid methane by approximating liquid methane as an incompressible substance.

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Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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Professor Modyn uses liquid methane for a cryogenic process. The critical temperature of methane is 191 K; thus, methane must be maintained below 191 K to keep it in the liquid phase. Properties of liquid methane at various temperatures and pressures are given in the table below.

Temperature (K)	Pressure (MPa)	Density (kg/m³)	Enthalpy (kJ/kg)	Entropy (kJ/kg·K)	Specific Heat (kJ/kg·K)
110	0.5	425.3	208.3	4.878	3.476
	1.0	425.8	209.0	4.875	3.471
	2.0	426.6	210.5	4.867	3.460
	5.0	429.1	215.0	4.844	4.432
120	0.5	410.4	243.4	5.185	3.551
	1.0	411.0	244.1	5.180	3.543
	2.0	412.0	245.4	5.171	3.528
	5.0	415.2	249.6	5.145	3.486

Determine the entropy change of liquid methane as it undergoes a process from 110 K110 K and 2.0 MPa2.0 MPa to 120 K120 K and 0.50 MPa0.50 MPa using actual data from the table.

Next, determine the entropy change of liquid methane by approximating liquid methane as an incompressible substance.

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