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A steam power plant receives 2000 kJ of heat per unit mass of steam flowing through the steam generator when the steam flow rate is 100 kg/s. If the fuel supplied to the combustion chamber of the steam generator has a higher heating value of 40,000 kJ/kg of fuel and the combustion efficiency is 85%, determine the required fuel flow rate, in kg/s.

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Final answer:

To determine the required fuel flow rate of a steam power plant, we need to use the fuel's higher heating value and the combustion efficiency. The higher heating value of the fuel is 40,000 kJ/kg, and the combustion efficiency is 85%. The required fuel flow rate is 5 kg/s.

Step-by-step explanation:

To determine the required fuel flow rate of a steam power plant, we need to use the fuel's higher heating value and the combustion efficiency. The higher heating value of the fuel is given as 40,000 kJ/kg, and the combustion efficiency is 85%.

First, we need to calculate the total heat input to the steam generator. This can be done by multiplying the heat received per unit mass of steam by the steam flow rate:

Heat input = 2000 kJ/kg * 100 kg/s = 200,000 kJ/s

Next, we can calculate the required fuel flow rate by dividing the heat input by the higher heating value of the fuel:

Required fuel flow rate = 200,000 kJ/s / 40,000 kJ/kg = 5 kg/s

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