Isenthropic compression 5000L, 5Bar, 2500L, 288K

• dbag123
The summary of the conversation is that the pressure and density of air can be calculated using the equations P2=P1*V1/P2 and P/Rd/T respectively. However, when compressing air, the temperature will also change and the adiabatic condition must be applied to determine the final temperature. The symbols Cp and Cv stand for the heat capacities of air at constant pressure and constant volume, respectively. In summary, the conversation discusses equations for calculating pressure and density of air, and the use of the adiabatic condition to determine temperature change when compressing air. The symbols Cp and Cv represent heat capacities at constant pressure and volume.
dbag123
Homework Statement
Container has 5000L of air at 5 Bar How does the pressure, temperature and density change when the air is compressed to half.
Relevant Equations
P1*V1/T1=P2*V2/T2
Hello

Pressure by P2=P1*V1/P2 which comes out to 10 Bar

Density by P/Rd/T which comes out to 12,09 Kg/M3

according to the homework equation T2 would equal 144K, but if you compress air does it not heat up?

You have to apply the adiabatic condition: ##PV^{\gamma} = K## where ##\gamma = \frac{C_P}{C_V} = 7/5 = 1.4##. That will give you the final pressure and from that you can determine the final temperature using the ideal gas law.

AM

what do the Cp and Cv stand for?

dbag123 said:
what do the Cp and Cv stand for?

... Heat capacities of air at constant pressure and constant volume, respectively.

AM

1. What is isentropic compression?

Isentropic compression is a type of thermodynamic process in which the entropy of a substance remains constant. This means that the compression occurs without any heat transfer, so the temperature of the substance remains constant.

2. What does "5000L" and "5Bar" represent in isentropic compression?

The numbers "5000L" and "5Bar" represent the initial volume and pressure of the substance before compression. In this case, it means that the substance has an initial volume of 5000 liters and an initial pressure of 5 bar.

3. What does "2500L" represent in isentropic compression?

The number "2500L" represents the final volume of the substance after compression. This means that the substance has been compressed to a volume of 2500 liters.

4. What does "288K" represent in isentropic compression?

The number "288K" represents the temperature of the substance before and after compression. In this case, it means that the temperature of the substance remains constant at 288 Kelvin during the compression process.

5. What is the purpose of isentropic compression?

The purpose of isentropic compression is to increase the density and pressure of a substance without changing its temperature. This process is commonly used in gas turbines and other industrial applications to efficiently compress gases and generate power.

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