In the absence of compressed liquid property tables it is common to approximate

Question

                                     In the absence of compressed liquid property tables it is common to approximate properties by using the                                                       saturated liquid values. The purpose of this exercise is to compare actual values to the approximate values.                                                       Compare the values of specific volume (v), internal energy (u), and enthalpy (h) for water at 10 MPa and                                                       25C using the compressed liquid tables and the saturated liquid approximation. What are the percent errors                                                       associated with the approximation? What does the error and the percent error change to when the proper                                                       approximation for the enthalpy is used?

Please show all work.
                                                                   In the absence of compressed liquid property tables it is common to approximate properties by using the                                                       saturated liquid values. The purpose of this exercise is to compare actual values to the approximate values.                                                       Compare the values of specific volume (v), internal energy (u), and enthalpy (h) for water at 10 MPa and                                                       25C using the compressed liquid tables and the saturated liquid approximation. What are the percent errors                                                       associated with the approximation? What does the error and the percent error change to when the proper                                                       approximation for the enthalpy is used?

Please show all work.
                                                  In the absence of compressed liquid property tables it is common to approximate properties by using the                                      saturated liquid values. The purpose of this exercise is to compare actual values to the approximate values.                                      Compare the values of specific volume (v), internal energy (u), and enthalpy (h) for water at 10 MPa and                                      25C using the compressed liquid tables and the saturated liquid approximation. What are the percent errors                                      associated with the approximation? What does the error and the percent error change to when the proper                                      approximation for the enthalpy is used?

Please show all work.
                

Explanation / Answer

From compressed liquid table, at 10 MPa, 25 deg C we get

v = 0.00099875 m^3/kg

u = 104.1075 kJ/kg

h = 114.0925 kJ/kg

from saturated liquid tables, at 25 deg C and quality = 0 (sat.liq.) we get

v = 0.0010029 m^3/kg

u = 104.88 kJ/kg

h = 104.89 kJ/kg

% error in v = (0.0010029 - 0.00099875)/0.00099875 *100 = 0.415 %

% error in u = (104.88 - 104.1075)/104.1075 *100 = 0.742 %

% error in h = (104.89 - 114.0925)/114.0925 *100 = -8.06 %

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