Solve Isentropic Expansion: Mass 0.45 kg, 10 bar, 622°C to 331°C, 85 kJ Work

In summary, the problem involves a perfect gas expanding isentropically by means of a reversible non-flow process. The gas has a ratio of specific heats of 1.41 and a specific heat at constant volume is needed to solve for. The initial pressure and temperature, as well as the work generated, are also given. A helpful resource for approaching this problem is the Wikipedia page on heat capacity ratio.
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beeniemac
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Homework Statement


A mass of 0.45 kg of a perfect gas with a ratio of specific heats of 1.41 expands isentropically by means of a reversible non-flow process from an initial pressure of 10 bar and temperature 622oC to a temperature of 331 oC whilst generating 85 kJ of work. The specific heat at constant volume in J/kgK for the gas is?


Homework Equations





The Attempt at a Solution


I really have no idea where to start. I have attended all of my lectures and read all of the notes, but I just do no know where to come at this problem from..?
 
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FAQ: Solve Isentropic Expansion: Mass 0.45 kg, 10 bar, 622°C to 331°C, 85 kJ Work

What is isentropic expansion?

Isentropic expansion is a thermodynamic process in which a gas expands without any transfer of heat or matter, and the entropy remains constant.

How do you calculate the work done in an isentropic expansion?

The work done in isentropic expansion can be calculated using the equation W = m * Cv * (T2 - T1), where m is the mass of the gas, Cv is the specific heat at constant volume, and T2 and T1 are the final and initial temperatures, respectively.

What is the initial and final state in this problem?

The initial state is 0.45 kg of gas at 10 bar and 622°C. The final state is the same mass of gas at 331°C.

How much work is done in this isentropic expansion?

The work done in this isentropic expansion is 85 kJ.

What is the significance of isentropic expansion in thermodynamics?

Isentropic expansion is significant in thermodynamics because it allows us to analyze the behavior of gases in a simplified and reversible process. It also plays a crucial role in the design and operation of gas turbines and other engines.

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