Energy Analysis of Control Volumes at Steady

Chapter 4, Problem 48P

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QUESTION:

Steam enters a turbine operating at steady state at \(2 \mathrm{MPa}\), \(360^{\circ} \mathrm{C}\) with a velocity of \(100 \mathrm{~m} / \mathrm{s}\). Saturated vapor exits at \(0.1 \mathrm{MPa}\) and a velocity of \(50 \mathrm{~m} / \mathrm{s}\). The elevation of the inlet is \(3 \mathrm{~m}\) higher than at the exit. The mass flow rate of the steam is \(15 \mathrm{~kg} / \mathrm{s}\), and the power developed is \(7 \mathrm{MW}\). Let \(g=9.81 \mathrm{~m} / \mathrm{s}^2\). Determine (a) the area at the inlet, in \(\mathrm{m}^2\), and (b) the rate of heat transfer between the turbine and its surroundings, in kW.

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QUESTION:

Steam enters a turbine operating at steady state at \(2 \mathrm{MPa}\), \(360^{\circ} \mathrm{C}\) with a velocity of \(100 \mathrm{~m} / \mathrm{s}\). Saturated vapor exits at \(0.1 \mathrm{MPa}\) and a velocity of \(50 \mathrm{~m} / \mathrm{s}\). The elevation of the inlet is \(3 \mathrm{~m}\) higher than at the exit. The mass flow rate of the steam is \(15 \mathrm{~kg} / \mathrm{s}\), and the power developed is \(7 \mathrm{MW}\). Let \(g=9.81 \mathrm{~m} / \mathrm{s}^2\). Determine (a) the area at the inlet, in \(\mathrm{m}^2\), and (b) the rate of heat transfer between the turbine and its surroundings, in kW.

ANSWER:

Solution 48P 

Step 1 of 5:

In this question, we need to find the area at the inlet in

In part b , we need to find the rate of the heat transfer between the turbine and its surrounding in kW

Data given

Steady pressure

Steady temperature

Velocity

Pressure of saturated vapor

Velocity of vapor

Height

Mass flow rate

Power developed

Part a:

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