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Rankine Cycle Efficiency Calculator Formula

Rankine Cycle Efficiency Formula:

\[ \eta = \frac{W_{net}}{Q_{in}} \times 100 \]

Joules (J)
Joules (J)

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1. What is Rankine Cycle Efficiency?

Definition: This calculator determines the thermal efficiency of a Rankine cycle, which is the most common thermodynamic cycle used in power plants.

Purpose: It helps engineers and students analyze the performance of steam power plants and other Rankine cycle systems.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \eta = \frac{W_{net}}{Q_{in}} \times 100 \]

Where:

Explanation: The efficiency is calculated as the ratio of net work output to heat input, expressed as a percentage.

3. Importance of Rankine Cycle Efficiency

Details: Higher efficiency means more work is extracted from the same heat input, leading to better fuel economy and lower operating costs in power plants.

4. Using the Calculator

Tips: Enter the net work output and heat input in joules. Both values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is a typical Rankine cycle efficiency?
A: Modern steam power plants typically achieve 30-40% efficiency, while combined cycle plants can reach 50-60%.

Q2: How is net work output calculated?
A: Wnet = Wturbine - Wpump, the difference between turbine work output and pump work input.

Q3: What factors affect Rankine cycle efficiency?
A: Key factors include boiler pressure, condenser pressure, and steam temperature. Higher boiler pressures/temperatures generally increase efficiency.

Q4: Can efficiency exceed 100%?
A: No, this would violate the first law of thermodynamics. Practical efficiencies are always less than the Carnot efficiency limit.

Q5: What units should I use?
A: The calculator uses joules, but any consistent energy unit can be used as long as both inputs are in the same unit.

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