8. Consider a combined gas (Brayton)-vapor (Rankine) power cycle. The water of the Rankine cycle is heated in a heat recovery steam generator (HRSG) starting as a compressed liquid at 40°C and 10MPA to a superheated steam condition at 480°C. Correspondingly, the gas from Brayton cycle is cooled from 900K to 400K. The total heat added to this combined cycle is Qin=100 MW and the thermal efficiency of this cycle is 53%. The gas turbine produces specific net work of 4900 kJ/kg and the vapor cycle produces a specific net work of 9000 kJ/kg. Use cold-air standard analysis for the Brayton cycle, where k=1.4, Cp= 1.0045 kJ/kg·K Use tables for analysis for the Rankine cycle. Determine the following: (a) The ratio of the air mass flow rate in the gas cycle to the water mass flow rate in the vapor cycle, mg/M, (b) The mass flow rate of the water in the Rankine cycle, my

Elements Of Electromagnetics
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Consider a combined gas (Brayton)-vapor (Rankine) power cycle. The water of the Rankine cycle is heated in a heat recovery steam generator (HRSG) starting as a compressed liquid at 40°C and 10MPa to a superheated steam condition at 480°C. Correspondingly, the gas from the Brayton cycle is cooled from 900K to 400K. The total heat added to this combined cycle is \( \dot{Q}_{in} = 100 \, \text{MW} \) and the thermal efficiency of this cycle is 53%. The gas turbine produces a specific net work of 4900 kJ/kg and the vapor cycle produces a specific net work of 9000 kJ/kg.

Use cold-air standard analysis for the Brayton cycle, where \( k = 1.4 \), \( C_p = 1.0045 \, \text{kJ/kg} \cdot \text{K} \)

Use tables for analysis for the Rankine cycle.

Determine the following:
(a) The ratio of the air mass flow rate in the gas cycle to the water mass flow rate in the vapor cycle, \( \dot{m}_g / \dot{m}_v \)
(b) The mass flow rate of the water in the Rankine cycle, \( \dot{m}_v \)
Transcribed Image Text:Consider a combined gas (Brayton)-vapor (Rankine) power cycle. The water of the Rankine cycle is heated in a heat recovery steam generator (HRSG) starting as a compressed liquid at 40°C and 10MPa to a superheated steam condition at 480°C. Correspondingly, the gas from the Brayton cycle is cooled from 900K to 400K. The total heat added to this combined cycle is \( \dot{Q}_{in} = 100 \, \text{MW} \) and the thermal efficiency of this cycle is 53%. The gas turbine produces a specific net work of 4900 kJ/kg and the vapor cycle produces a specific net work of 9000 kJ/kg. Use cold-air standard analysis for the Brayton cycle, where \( k = 1.4 \), \( C_p = 1.0045 \, \text{kJ/kg} \cdot \text{K} \) Use tables for analysis for the Rankine cycle. Determine the following: (a) The ratio of the air mass flow rate in the gas cycle to the water mass flow rate in the vapor cycle, \( \dot{m}_g / \dot{m}_v \) (b) The mass flow rate of the water in the Rankine cycle, \( \dot{m}_v \)
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