Power in a Turbine: 30 bar to 0.2 bar, 80% Isentropic Efficiency, 300 KG/s

In summary, "Power in a Turbine" refers to the amount of work or energy produced by a turbine that operates with a pressure drop from 30 bar to 0.2 bar, an isentropic efficiency of 80%, and a mass flow rate of 300 KG/s. The pressure drop is significant as it drives the turbine and indicates a potential for high work output. The isentropic efficiency represents the percentage of available energy converted into work, while the mass flow rate impacts the power output. Other factors such as the design, condition, and properties of the turbine and fluid, as well as external factors like temperature and altitude, can also affect the power produced by a turbine.
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Homework Statement


air at a pressure of 30 bar and a temperature of 400 degrees expands through a turbine to a pressure of 0.2 bar. if the isentropic efficency is 80% determine the power developed for a mass flow rate of 300 KG/s


Homework Equations



Cv=0.715 KJ/Kg. K, Cp= 1.004 KJ/Kg.K



The Attempt at a Solution

 
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Please attempt to solve this problem before asking for assistance. What are the temperature units C or K?

A h-s diagram will be helpful You are looking for workactual.
 

Related to Power in a Turbine: 30 bar to 0.2 bar, 80% Isentropic Efficiency, 300 KG/s

1. What does "Power in a Turbine" refer to?

"Power in a Turbine" refers to the amount of work or energy produced by a turbine. In this context, it specifically refers to the amount of work produced by a turbine that operates with a pressure drop from 30 bar to 0.2 bar, with an isentropic efficiency of 80%, and a mass flow rate of 300 KG/s.

2. What is the significance of a pressure drop from 30 bar to 0.2 bar in a turbine?

The pressure drop in a turbine is significant because it represents the change in pressure that occurs as the fluid passes through the turbine. This change in pressure is what drives the turbine and allows it to produce work. In this case, the turbine is operating with a large pressure drop of 30 bar to 0.2 bar, which indicates a high potential for producing a large amount of work.

3. What does "80% Isentropic Efficiency" mean in relation to a turbine?

"80% Isentropic Efficiency" refers to the efficiency of a turbine in converting the available energy of the fluid into work. Specifically, it represents the percentage of the maximum possible work output that the turbine is able to achieve. In this case, the turbine has an isentropic efficiency of 80%, which means that it is able to convert 80% of the available energy into work.

4. How does a mass flow rate of 300 KG/s impact the power produced by a turbine?

The mass flow rate represents the amount of fluid that is passing through the turbine per unit of time. In this case, the mass flow rate of 300 KG/s indicates a high rate of flow, which can contribute to a higher power output from the turbine. This is because a larger amount of fluid passing through the turbine means there is more energy available to be converted into work.

5. What factors can affect the power produced by a turbine?

Several factors can affect the power produced by a turbine, including the pressure drop, isentropic efficiency, and mass flow rate. Additionally, the design and condition of the turbine itself, as well as the properties of the fluid being used, can also impact the power output. Other external factors such as temperature and altitude can also play a role in the performance of a turbine.

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