Consider an air-standard Diesel cycle. Operating data at principal states in the cycle are given in the table below. The states are numbered as in the figure below. Determine: (a) the cutoff ratio. (b) the heat addition per unit mass, in kJ/kg. (c) the net work per unit mass, in kJ/kg. (d) the percent thermal efficiency. State T(K) p (kPa) u (kJ/kg) h (kJ/kg) 1 2 3 380 100 271.5 1032 4074 786.2 1864 4074 1546 250.2 716.7 4 950.6 380.6 1082 2081 989.5 pac #C

Elements Of Electromagnetics
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### Diesel Cycle Analysis

Consider an air-standard Diesel cycle. Operating data at principal states in the cycle are given in the table below. The states are numbered as in the figure.

#### Table of Principal States

| State | T (K) | p (kPa) | u (kJ/kg) | h (kJ/kg) |
|-------|-------|---------|-----------|-----------|
| 1     | 380   | 100     | 271.5     | 380.6     |
| 2     | 1032  | 4074    | 786.2     | 1082      |
| 3     | 1864  | 4074    | 1546      | 2081      |
| 4     | 950.6 | 250.2   | 716.7     | 989.5     |

#### Graphs and Diagrams

- **Pressure vs. Volume (p-v) Diagram**:
  - The graph shows the relationship between pressure (p) and volume (v) across the different states.
  - There are four marked states (1 to 4), illustrating the processes of the cycle, including the compression and expansion phases.

- **Temperature vs. Entropy (T-s) Diagram**:
  - This graph illustrates the relationship between temperature (T) and entropy (s) for the Diesel cycle.
  - Similar to the p-v diagram, the states are labeled from 1 to 4, displaying the heat addition and rejection phases.

#### Tasks to Determine

(a) **Cutoff Ratio**:
   - Calculate the ratio of volume at state 3 to volume at state 2.

(b) **Heat Addition per Unit Mass (kJ/kg)**:
   - Determine the energy added to the system as heat per unit mass.

(c) **Net Work per Unit Mass (kJ/kg)**:
   - Calculate the net work output per unit mass during the cycle.

(d) **Percent Thermal Efficiency**:
   - Evaluate the efficiency of the cycle based on the ratio of net work output to heat input.

These calculations and diagrams provide an understanding of the Diesel cycle’s thermodynamic processes.
Transcribed Image Text:### Diesel Cycle Analysis Consider an air-standard Diesel cycle. Operating data at principal states in the cycle are given in the table below. The states are numbered as in the figure. #### Table of Principal States | State | T (K) | p (kPa) | u (kJ/kg) | h (kJ/kg) | |-------|-------|---------|-----------|-----------| | 1 | 380 | 100 | 271.5 | 380.6 | | 2 | 1032 | 4074 | 786.2 | 1082 | | 3 | 1864 | 4074 | 1546 | 2081 | | 4 | 950.6 | 250.2 | 716.7 | 989.5 | #### Graphs and Diagrams - **Pressure vs. Volume (p-v) Diagram**: - The graph shows the relationship between pressure (p) and volume (v) across the different states. - There are four marked states (1 to 4), illustrating the processes of the cycle, including the compression and expansion phases. - **Temperature vs. Entropy (T-s) Diagram**: - This graph illustrates the relationship between temperature (T) and entropy (s) for the Diesel cycle. - Similar to the p-v diagram, the states are labeled from 1 to 4, displaying the heat addition and rejection phases. #### Tasks to Determine (a) **Cutoff Ratio**: - Calculate the ratio of volume at state 3 to volume at state 2. (b) **Heat Addition per Unit Mass (kJ/kg)**: - Determine the energy added to the system as heat per unit mass. (c) **Net Work per Unit Mass (kJ/kg)**: - Calculate the net work output per unit mass during the cycle. (d) **Percent Thermal Efficiency**: - Evaluate the efficiency of the cycle based on the ratio of net work output to heat input. These calculations and diagrams provide an understanding of the Diesel cycle’s thermodynamic processes.
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