A gas turbine power plant has a specific output of 350 kJ/kg and an ef...
Specific output of the plant is unchanged when regenerator is installed in a gas turbine power plant.
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A gas turbine power plant has a specific output of 350 kJ/kg and an ef...
Specific Output and Efficiency of a Gas Turbine Power Plant
Introduction:
A gas turbine power plant is a type of power plant that uses a gas turbine as the prime mover to generate electricity. The specific output of a power plant refers to the amount of electrical energy produced per unit mass of fuel consumed. Efficiency, on the other hand, measures how effectively the energy in the fuel is converted into electrical energy.
Given Data:
Specific Output without Regenerator (η₁) = 350 kJ/kg
Efficiency without Regenerator (η₁) = 34%
Efficiency with Regenerator (η₂) = 51%
Calculating Specific Output with Regenerator:
To determine the specific output with the regenerator, we can use the efficiency formula:
η = (Specific Output / Heating Value) * 100
Where,
Heating Value = Energy content of the fuel (per unit mass)
We can rearrange this formula to solve for Specific Output:
Specific Output = (η * Heating Value) / 100
Calculating Heating Value:
To calculate the specific output, we need to determine the heating value of the fuel. The heating value represents the energy content of the fuel per unit mass. Since the heating value is not given in the question, we need to assume a value or use a standard value appropriate for the type of fuel used in gas turbine power plants.
Assumption:
Let's assume the heating value of the fuel is 10,000 kJ/kg.
Calculating Specific Output without Regenerator:
Using the given data, we can calculate the specific output without the regenerator:
Specific Output₁ = (34/100) * 10,000 kJ/kg = 3,400 kJ/kg
Calculating Specific Output with Regenerator:
Now, let's calculate the specific output with the regenerator using the increased efficiency:
Specific Output₂ = (51/100) * 10,000 kJ/kg = 5,100 kJ/kg
Conclusion:
As we can see, the specific output with the regenerator is 5,100 kJ/kg, which is significantly higher than the given value of 350 kJ/kg. Therefore, the correct answer is option 'A' - 350 kJ/kg.