Help Solving Gas Turbine Problem with Polytropic Expansion

[sa1066]

hey can anyone help me with this problem...

three pounds-mass per second of air is reversibly and polytropically (n=1.48) expanded in a gas turbine from 2100F to 900F. if the exhaust pressure is 15psia, determine the work produced per pound-mass of air, the power generated, and the rate of heat transfer.

i...dont...understand...what...this...means...

thank you

 

[sa1066]

So, yeah, I'm attempting to help my nephew out with this; however, my knowledge of physics is limited (haven't studied in a number of years). If any person is willing to at least assist me with a starting point or a formula to follow that would be great.

 

[kyle8921]

for your question. It seems like you are having trouble understanding the problem. Let's break it down step by step.

First, the problem is asking for help with a gas turbine problem involving polytropic expansion. A gas turbine is a type of engine that converts the energy of fuel into mechanical energy, which can then be used to do work. Polytropic expansion refers to a process where a gas expands or compresses in a non-adiabatic manner, meaning there is heat transfer involved.

Next, the problem provides some specific information. It states that three pounds-mass per second of air is being expanded in a gas turbine from 2100F to 900F. This means that three pounds of air are entering the turbine every second and being heated from 2100F to 900F.

The problem also mentions a polytropic exponent of 1.48. This is a value used in thermodynamics to describe the relationship between pressure and volume during a polytropic process. In this case, the value of 1.48 indicates that the process is not adiabatic and some heat transfer is involved.

Finally, the problem asks for three specific values: the work produced per pound-mass of air, the power generated, and the rate of heat transfer. These values can be calculated using thermodynamic equations and the information provided in the problem.

I hope this explanation helps you better understand the problem. If you need further assistance, please provide any specific questions or areas that you are struggling with. Good luck with your gas turbine problem!