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

likes
974 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.

Expert avatar
Gerhard
4.5
92 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}}

Frequently asked questions (FAQs)
Math question: Solve the system of inequalities graphically - 2x + 3y ≤ 10 and 3x - 4y > 8. Determine the feasible region.
+
What is the amplitude of the sine function f(x) = sin(x)?
+
What is the value of the variable x in the equation 2x + 5 = 17?
+
New questions in Mathematics
-x+3x-2,si x=3
Pedro bought 9 kg of sugar at the price of R$1.80 per kilogram, six packets of coffee at the price of R$3.90 per packet and 8 kg of rice at the price of R$2.70 per kilogram. Knowing that he paid for the purchases with a R$100.00 bill, how much change did he receive?
One contestant on a game show has 1,500 points and another contestant has -250 points. What is the difference between the scores of the contestants?
5/8 x 64
58+861-87
Determine the absolute extrema of the function 𝑓(𝑥)=𝑥3−18𝑥2 96𝑥 , on the interval [1,10]
By direct proof, how can you prove that “The sum of any three consecutive even integers is always a multiple of 6”.
(5y 9)-(y 7)
Suppose the Golf ball market is perfectly competitive and the functions are known: Q = 120 – 2Px – 2Py 0.2I Q = 2Px 40 Where I = Consumers' income ($200) and Py = Price of Good Y (40) Calculate the equilibrium elasticity: a) 1.6 b) -6 c) 6 d) 0.6
The ninth term of a given geometric progression, with reason q , is 1792, and its fourth term is 56. Thus, calculate the fourth term of another geometric progression, whose ratio is q +1 and whose first term is equal to the first term of the first P.G. described.
3%2B2
A loan is repaid with payments of $2226 made at the end of each month for 12 years. If interest on the loan is 5.2%, compounded semi-annually, what is the initial value of the loan? Enter to the nearest cent (two decimals). Do not use $ signs or commas.
Two particles of electrical charges Q1=3.8×10-⁶C and q,=4.4×10-⁶C are separated in vacuum by a distance of 4.0.10-⁸ m. Since K=9.0.10⁹ N.m²/C², the intensity of the interaction force between them, in newtons, is?
Find the area of a triangle ABC when m<C = 14 degrees, a = 5.7 miles, and b = 9.3 miles.
A 20,000 kg school bus is moving at 30 km per hour on a straight road. At that moment, it applies the brakes until it comes to a complete stop after 15 seconds. Calculate the acceleration and the force acting on the body.
a) Statistics scores are normally distributed with the mean of 75 and standard deviation of 7. What is the probability that a student scores between 80 and 88
The average weekly earnings in the leisure and hospitality industry group for a re‐ cent year was $273. A random sample of 40 workers showed weekly average ear‐ nings of $285 with the population standard deviation equal to 58. At the 0.05 level of significance can it be concluded that the mean differs from $273? Find a 95% con‐ fidence interval for the weekly earnings and show that it supports the results of the hypothesis test.
-1/3x+15=18
Define excel and why we use it?
x(squared) -8x=0