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nineeyes

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**Having trouble with a thermodynamics problem**

I'm having a bit of a problem with some of the homework in my thermodynamics class.

Question (Water at 20 C, 100 kPa is compressed isothermally to 50 MPa. Determine the work required per unit mass. )

using the tables I found:

State 1

[tex]T_1=20C[/tex]

[tex]P_1=.100MPa[/tex]

[tex]v_1=.001022[/tex] [tex]m^3/kg[/tex]

State 2

[tex]T_2=20C[/tex]

[tex]P_2=50MPa[/tex]

[tex]v_2=.0009804[/tex] [tex]m^3/kg[/tex]

However, according to the tables, both states are compressed/subcooled . The only method I found to solve for work in an isothermal process applied to ideal gases. I was thinking I needed to approximate this, I tried to plot as many points in between the states and do a curve fit to find function [tex]P(v)[/tex]. Then integrate [tex]Work = \int_{v_1}^{v_2}P(v) dv}[/tex]. If I can do it that way, what kind of line do I use? (2nd order polynomial, 3rd order polynomial, etc...)

Thanks for any help.

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