15-A heat engine with a diatomic gas as the working substance uses the closed cycle shown in below figure. How much work does this engine do per cycle, and what is its thermal efficiency? p (atm) 3- 0+ 3 300 K isotherm 3 - V (m³)
15-A heat engine with a diatomic gas as the working substance uses the closed cycle shown in below figure. How much work does this engine do per cycle, and what is its thermal efficiency? p (atm) 3- 0+ 3 300 K isotherm 3 - V (m³)
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Transcribed Image Text:**Problem 15:**
A heat engine with a diatomic gas as the working substance uses the closed cycle shown in the figure below. How much work does this engine do per cycle, and what is its thermal efficiency?
**Graph Explanation:**
The diagram presents a pressure-volume (p-V) graph with a closed cycle for a heat engine. The cycle consists of four distinct processes or stages, labeled 1 through 4, forming a rectangular loop.
- **Axes:**
- The x-axis represents Volume (V) in cubic meters (m³), ranging from 0 to approximately 3.
- The y-axis represents Pressure (p) in atmospheres (atm), ranging from 0 to 3.
- **Cycle Description:**
- **Process 1 to 2:** A horizontal line indicating an isobaric expansion at a high pressure where volume increases.
- **Process 2 to 3:** A vertical line indicating an isochoric process where volume remains constant but pressure decreases.
- **Process 3 to 4:** A horizontal line showing isobaric compression at a low pressure where volume decreases.
- **Process 4 to 1:** A vertical line indicating an isochoric process where volume remains constant but pressure increases.
- **Additional Elements:**
- A dashed curve labeled "300 K isotherm" suggests that it represents a hypothetical process at a constant temperature of 300 K which provides a reference to the temperature condition of the cycle.
This cycle represents a thermodynamic process for evaluating work done and the thermal efficiency of the engine using the ideal gas law and principles of thermodynamics.
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Step 1: Work done by the engine per cycle
VIEWStep 2: Calculating temperatures at all the states
VIEWStep 3: Calculate the heat transfer and change in internal energy for all the processes
VIEWStep 4: Calculate the heat supplied and heat rejected by the engine
VIEWStep 5: Thermal efficiency
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