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Energy Analysis of Control Volumes at Steady
Chapter 4, Problem 43P(choose chapter or problem)
Air expands through a turbine from 8 bar, \(960 \mathrm{~K}\) to 1 bar, \(450 \mathrm{~K}\). The inlet velocity is small compared to the exit velocity of \(90 \mathrm{~m} / \mathrm{s}\). The turbine operates at steady state and develops a power output of \(2500 \mathrm{~kW}\). Heat transfer between the turbine and its surroundings and potential energy effects are negligible. Modeling air as an ideal gas, calculate the mass flow rate of air, in \(\mathrm{kg} / \mathrm{s}\), and the exit area, in \(\mathrm{m}^2\).
Questions & Answers
QUESTION:
Air expands through a turbine from 8 bar, \(960 \mathrm{~K}\) to 1 bar, \(450 \mathrm{~K}\). The inlet velocity is small compared to the exit velocity of \(90 \mathrm{~m} / \mathrm{s}\). The turbine operates at steady state and develops a power output of \(2500 \mathrm{~kW}\). Heat transfer between the turbine and its surroundings and potential energy effects are negligible. Modeling air as an ideal gas, calculate the mass flow rate of air, in \(\mathrm{kg} / \mathrm{s}\), and the exit area, in \(\mathrm{m}^2\).
ANSWER:Solution 43P
Step 1 of 6
Here, the objective is to find out the mass flow rate of air and exit area when air expands through a turbine.
The assumption here is that the potential energy effects are negligible and heat transfer between turbine and its surrounding is also not considered. Another assumption is that the inlet velocity is small with respect to the exit velocity.