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
4.592 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)
Math question: What is the smallest positive integer solution for the equation x^n + y^n = z^n, where n > 2 according to Fermat's Theorem? (
+
What is the domain of the function f(x) = sin(x) + cos(x) in radians?
+
What is the integral of ∫(4x^3 - 5x^2 + 2x + 7) dx using the power rule?
+
New questions in Mathematics