Consider the Rankine cycle of 11.77, which rejects 2.3 MW

Chapter , Problem 11.78

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QUESTION:

Consider the Rankine cycle of Problem 11.77, which rejects 2.3 MW to the condenser, which is supplied with a cooling water flow rate of 70 kg/s at \(15^{\circ} \mathrm{C}\).

(a) Calculate UA, a parameter that is indicative of the size of the condenser required for this operating condition.

(b) Consider now the situation where the overall heat transfer coefficient for the condenser, U, is reduced by 10% because of fouling. Determine the reduction in the thermal efficiency of the cycle caused by fouling, assuming that the cooling water flow rate and water temperature remain the same and that the condenser is operated at the same steam pressure.

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QUESTION:

Consider the Rankine cycle of Problem 11.77, which rejects 2.3 MW to the condenser, which is supplied with a cooling water flow rate of 70 kg/s at \(15^{\circ} \mathrm{C}\).

(a) Calculate UA, a parameter that is indicative of the size of the condenser required for this operating condition.

(b) Consider now the situation where the overall heat transfer coefficient for the condenser, U, is reduced by 10% because of fouling. Determine the reduction in the thermal efficiency of the cycle caused by fouling, assuming that the cooling water flow rate and water temperature remain the same and that the condenser is operated at the same steam pressure.

ANSWER:

Step 1 of 3

The T-S diagram of the system is,

 

From the steam table,

The enthalpy at point 1 is \({h_1} = 191.83\;{\rm{kJ/kg}}\).

The enthalpy at point 4 is \({h_4} = 2007.5\;{\rm{kJ/kg}}\).

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