Question
Steam at 10 bar absolute with 190°C of superheat is fed to a turbine at a rate of 2000 kg/hr. The Turbine operation is adiabatic and the effluent is saturated steam at 1 bar. Calculate the work output of the turbine in Kilowatts, neglecting kinetic and potential energy changes.
195
likes974 views
Answer to a math question Steam at 10 bar absolute with 190°C of superheat is fed to a turbine at a rate of 2000 kg/hr. The Turbine operation is adiabatic and the effluent is saturated steam at 1 bar. Calculate the work output of the turbine in Kilowatts, neglecting kinetic and potential energy changes.
Gerhard
4.593 Answers
1. **Convert mass flow rate to \(\text{kg/s}\):**
\dot{m} = \frac{2000\ \text{kg/hr}}{3600\ \text{s/hr}} = 0.5556\ \text{kg/s}
2. **Get enthalpy values from steam tables:**
- **Inlet steam:**
h_1 \approx 2792.2\ \text{kJ/kg}
- **Outlet steam:**
h_2 = h_{\text{g at 1 bar}} \approx 2675.5\ \text{kJ/kg}
3. **Calculate turbine work output:**
\dot{W} = 0.5556 \times (2792.2 - 2675.5) = 0.5556 \times 116.7 = 64.84\ \text{kW}
4. **Final Answer:**
\boxed{64.84\ \text{kW}}
2. **Get enthalpy values from steam tables:**
- **Inlet steam:**
- **Outlet steam:**
3. **Calculate turbine work output:**
4. **Final Answer:**
Frequently asked questions (FAQs)
What is the value of the exponential function f(x) = 10^x divided by the exponential function f(x) = e^x when x = 2?
+
Math Question: Find the equation of a parabola with vertex (2, -1) and x-intercepts (-1, 0) and (5, 0).
+
What is the volume of a right circular cylinder with height 5 units and radius 3 units?
+
New questions in Mathematics