en in the table below. Temperature (K) 110 120 tropy change: Pressure (MPa) 0.3057 Incorrect 0.5 1.0 2.0 5.0 0.5 1.0 2.0 5.0 Density (kg/m³) 425.3 425.8 426.6 429.1 410.4 411.0 412.0 415.2 Enthalpy (kJ/kg) 208.3 209.0 210.5 215.0 243.4 244.1 245.4 249.6 termine the entropy change of liquid methane as it undergoes a process from 110 K and 0.5 MPa to 120 K and 5.0 MPa usi ual data from the table. Entropy (kJ/kg.K) 4.878 4.875 4.867 4.844 5.185 5.180 5.171 5.145 Specific Heat (kJ/kg.K) 3.476 3.471 3.460 4.432 3.551 3.543 3.528 3.486 kJ/kg.

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
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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.

Determine the entropy change of liquid methane as it undergoes a process from 110 K110 K and 0.5 MPa0.5 MPa to 120 K120 K and 5.0 MPa5.0 MPa using actual data from the table.

## Properties of Liquid Methane for Cryogenic Processes

Professor Modyn utilizes liquid methane in cryogenic processes. The critical temperature of methane is 191 K, so methane must be maintained at temperatures below 191 K to remain in the liquid phase. Below is a table displaying the properties of liquid methane at various temperatures and pressures.

| 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                    |

### Problem Statement

Determine the entropy change of liquid methane as it undergoes a process from 110 K and 0.5 MPa to 120 K and 5.0 MPa using the actual data from the table.

*Entropy change calculated:* `0.3057 kJ/kg·K` (Note: This result is marked as incorrect in the image).
Transcribed Image Text:## Properties of Liquid Methane for Cryogenic Processes Professor Modyn utilizes liquid methane in cryogenic processes. The critical temperature of methane is 191 K, so methane must be maintained at temperatures below 191 K to remain in the liquid phase. Below is a table displaying the properties of liquid methane at various temperatures and pressures. | 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 | ### Problem Statement Determine the entropy change of liquid methane as it undergoes a process from 110 K and 0.5 MPa to 120 K and 5.0 MPa using the actual data from the table. *Entropy change calculated:* `0.3057 kJ/kg·K` (Note: This result is marked as incorrect in the image).
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