In a gas turbine, combusted gas with a volumetric flow rate of 0.5 m³/s expands from 50 bar, 650°C to 4 bar. The turbine generates 5 MW of power and rejects 200 kJ/min of heat to the surrounding. Neglecting the change of kinetic and potential energies and assuming that the cross-sectional area of the inlet and outlet to be the same, determine: a) the mass flow rate (kg/s) m b) the gas temperature at outlet (°C) c) the ratio of outlet to inlet velocities d) the volumetric flow rate at outlet (m³/s). Take the value of cp and k of the gas to be 1.15kJ/kg.K and 1.3 respectively. Cp = 1.15kJ/kg, k K 1-3
In a gas turbine, combusted gas with a volumetric flow rate of 0.5 m³/s expands from 50 bar, 650°C to 4 bar. The turbine generates 5 MW of power and rejects 200 kJ/min of heat to the surrounding. Neglecting the change of kinetic and potential energies and assuming that the cross-sectional area of the inlet and outlet to be the same, determine: a) the mass flow rate (kg/s) m b) the gas temperature at outlet (°C) c) the ratio of outlet to inlet velocities d) the volumetric flow rate at outlet (m³/s). Take the value of cp and k of the gas to be 1.15kJ/kg.K and 1.3 respectively. Cp = 1.15kJ/kg, k K 1-3
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Transcribed Image Text:4.4 In a gas turbine, combusted gas with a volumetric flow rate of 0.5 m³/s expands from
50 bar, 650°C to 4 bar. The turbine generates 5 MW of power and rejects 200 kJ/min of heat to
the surrounding. Neglecting the change of kinetic and potential energies and assuming that the
cross-sectional area of the inlet and outlet to be the same, determine:
a) the mass flow rate (kg/s)
in
b) the gas temperature at outlet (°C)
c) the ratio of outlet to inlet velocities
d) the volumetric flow rate at outlet (m³/s).
Take the value of cp and k of the gas to be 1.15kJ/kg.K and 1.3 respectively.
Cp = 1·15kJ/kg, k
K = 1.3
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