1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
tatuchka [14]
2 years ago
6

Air enters a turbine operating at steady state at 8 bar, 1600 K and expands to 0.8 bar. The turbine is well insulated, and kinet

ic and potential energy effects can be neglected. Assuming ideal gas behavior for the air, what is the maximum theoretical work that could be developed by the turbine in kJ per kg of air flow
Physics
1 answer:
kobusy [5.1K]2 years ago
4 0

Answer:

the maximum theoretical work that could be developed by the turbine is 775.140kJ/kg

Explanation:

To solve this problem it is necessary to apply the concepts related to the adiabatic process that relate the temperature and pressure variables

Mathematically this can be determined as

\frac{T_2}{T_1} = (\frac{P_2}{P_1})^{(\frac{\gamma-1}{\gamma})}

Where

Temperature at inlet of turbine

Temperature at exit of turbine

Pressure at exit of turbine

Pressure at exit of turbine

The steady flow Energy equation for an open system is given as follows:

m_i = m_0 = mm(h_i+\frac{V_i^2}{2}+gZ_i)+Q = m(h_0+\frac{V_0^2}{2}+gZ_0)+W

Where,

m = mass

m(i) = mass at inlet

m(o)= Mass at outlet

h(i)= Enthalpy at inlet

h(o)= Enthalpy at outlet

W = Work done

Q = Heat transferred

v(i) = Velocity at inlet

v(o)= Velocity at outlet

Z(i)= Height at inlet

Z(o)= Height at outlet

For the insulated system with neglecting kinetic and potential energy effects

h_i = h_0 + WW = h_i -h_0

Using the relation T-P we can find the final temperature:

\frac{T_2}{T_1} = (\frac{P_2}{P_1})^{(\frac{\gamma-1}{\gamma})}\\

\frac{T_2}{1600K} = (\frac{0.8bar}{8nar})^{(\frac{1.4-1}{1.4})}\\ = 828.716K

From this point we can find the work done using the value of the specific heat of the air that is 1,005kJ / kgK

W = h_i -h_0W = C_p (T_1-T_2)W = 1.005(1600 - 828.716)W = 775.140kJ/Kg

the maximum theoretical work that could be developed by the turbine is 775.140kJ/kg

You might be interested in
In the equation for Ohm’s law what does I stand for?
Ket [755]
A) current 

(I is always current in electricity)
3 0
3 years ago
A 5-mm-thick stainless steel strip (k = 21 W/m·K, rho = 8000 kg/m3, and cp = 570 J/kg·K) is being heat treated as it moves throu
Snezhnost [94]

Answer:

1170 Kelvin/meter

Explanation:

See attached pictures.

8 0
3 years ago
Read 2 more answers
Suppose the spark plug on a heat engine is not functioning properly which statement best explains how this will affect the engin
torisob [31]

Answer:

B. Burned gas...

Explanation:

7 0
2 years ago
Read 2 more answers
Complete the sentence below using one of the following
astra-53 [7]

Answer:

equilibrium

Explanation:

acceleration will remain constant

3 0
2 years ago
Finding the spring constant as shown, spring 3, which has an unknown spring constant k3, replaces spring 2. the mass of the weig
nevsk [136]
Replaces spring 2. the mass of the weight and pulley are unchanged: m=5.8 kg and mp=1.7 kg
6 0
3 years ago
Other questions:
  • How can a high school student have more momentum than a truck
    5·1 answer
  • A 12-tooth gear is turned two times. How many times will the 24-tooth gear to which it is connected turn?
    12·1 answer
  • A swimmer swims 1000 m in the pool in 8.6 minutes. What was the average speed of the swimmer in m/s?
    11·2 answers
  • What type of change occurs when water changes from a solid to a liquid
    13·1 answer
  • The unit of power is<br>Denved<br>Unit? Why​
    15·1 answer
  • 11. Which has the greater acceleration: a car that increases its speed from 50 km/h to 60 km/h, or a bike that
    6·1 answer
  • A 3.50-g bullet has a muzzle velocity of 250 m/s when fired by a rifle with a weight of 25.0 N. (a) Determine the recoil speed o
    12·1 answer
  • 1 point
    8·1 answer
  • The seed planted at extreme cold or in the region of frozen ice do not germinate, why?​
    14·1 answer
  • what is the minimum heat if A 500cm³ of water is to be heated from a room temperature (28°C) to 100°C in order to prepare hot cu
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!