# Answer to Question #11567 in Molecular Physics | Thermodynamics for Lee Zhen Yueng

Question #11567

A certain fluid at 10 bar is contained in a cylinder behind a piston, the initial volume

being 0.05 m^3. Calculate the work done by the fluid when it expands reversibly:

i. at constant pressure to a final volume of 0.2 m^3

ii. according to a linear law to a final volume of 0.2 m^3 and a final pressure of 2 bar

iii. according to a law pV = constant to a final volume of 0.1 m^3

iv. according to a law pV^3 = constant to a final volume 0f 0.06 m^3

v. according to a law p=(a/v^2) - (b/v) to a final volume of 0.1 m^3 and a final pressure of 1 bar

where A and B are constants.

Sketch all processes on a p-V diagram.

I have the answer but I need the solution. Thanks

being 0.05 m^3. Calculate the work done by the fluid when it expands reversibly:

i. at constant pressure to a final volume of 0.2 m^3

ii. according to a linear law to a final volume of 0.2 m^3 and a final pressure of 2 bar

iii. according to a law pV = constant to a final volume of 0.1 m^3

iv. according to a law pV^3 = constant to a final volume 0f 0.06 m^3

v. according to a law p=(a/v^2) - (b/v) to a final volume of 0.1 m^3 and a final pressure of 1 bar

where A and B are constants.

Sketch all processes on a p-V diagram.

I have the answer but I need the solution. Thanks

Expert's answer

## Comments

Assignment Expert28.12.16, 18:39Dear Matt, the aim of the integral is the area. If you have well known figure (triangle or trapezoid) then you can easily calculate its area using standard formulas.

Matt28.12.16, 15:04Can this be solved analytically without using integration?

Munir Ahmed24.05.15, 16:07first part= 150,000

2nd part= 90,000

3rd part= 34700

4th part= 7460

5th part= 19200

6th part= not sure

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