Rankine cycle operating on low pressure limit of P1 and high pressure ...
The Rankine cycle is a thermodynamic cycle commonly used in power plants to generate electricity. It is a practical and efficient cycle for converting heat into work. The cycle consists of four processes: compression, heating, expansion, and cooling.
The Carnot cycle, on the other hand, is an idealized thermodynamic cycle that represents the maximum possible efficiency for a heat engine operating between two temperature limits.
Now, let's analyze the given statement:
Rankine cycle operating on low pressure limit of P1 and high pressure limit of P2 has higher thermal efficiency than the Carnot cycle operating between the same pressure limits.
1. Understanding the Rankine Cycle:
- The Rankine cycle is a practical cycle used in power plants.
- It operates on a low-pressure limit (P1) and a high-pressure limit (P2).
- The cycle includes a turbine, a condenser, a pump, and a boiler.
- Heat is added to the working fluid in the boiler to generate steam.
- The steam expands in the turbine, producing work.
- The steam is then condensed in the condenser and pumped back to the boiler.
2. Understanding the Carnot Cycle:
- The Carnot cycle is an idealized cycle representing the maximum possible efficiency for a heat engine.
- It operates between two temperature limits, not pressure limits.
- The cycle includes two isothermal and two adiabatic processes.
- The efficiency of the Carnot cycle is given by the formula: Efficiency = 1 - (T1/T2), where T1 and T2 are the temperatures at the two limits.
3. Comparing the Rankine Cycle and Carnot Cycle:
- The Rankine cycle operates on pressure limits (P1 and P2), while the Carnot cycle operates on temperature limits (T1 and T2).
- The statement doesn't provide information about the temperatures, only the pressure limits.
- Since the Rankine cycle operates on pressure limits, it is not directly comparable to the Carnot cycle in terms of thermal efficiency.
- Therefore, it is not possible to conclude that the Rankine cycle has a higher thermal efficiency than the Carnot cycle based solely on the given information.
Hence, the correct answer is option 'd' - no conclusion due to insufficient data.
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