Using Rogers & Mayhew Steam Tables to Calculate Internal Energy Change

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To determine the specific internal energy change for water between 17.5 degrees Celsius and 86 degrees Celsius using steam tables, interpolation is necessary due to the lack of direct values for these temperatures. The steam tables provide enthalpy values (Hf) at specific pressures, but only at whole degree increments. For 17.5 degrees Celsius, the values at 17 and 18 degrees Celsius can be interpolated, as well as for 86 degrees Celsius using the values at 85 and 90 degrees Celsius. This method assumes that the changes between the given temperatures are linear, which is generally acceptable for small temperature differences. A reference link for double linear interpolation is provided for further guidance.
j.m.m
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Well, I am studying for my engineering thermodynamics exam, and i don't seem to have written down some of the information about steam tables.

Im fairly confident using them, except i can't remember the exact formulas we use to get the numbers in between the numbers given. For example, i have a question as follows:

Use Rogers and Mayhew to determine specific internal energy change for water from 17.5 degrees Celsius to 86 degrees Celsius.

Well, my problem is the steam tables only give temperatures of 17 and 18, and 85 and 90.
17 bar - Hf 71.3
18 bar - Hf 75.5
85 bar - Hf 355.9
90 bar - Hf 376.9

how can I use this information to get the Hf of water at 17.5 degrees Celcius, and 86 degrees Celcius??

Thanks in advance
 
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thanks a million

nice and quick reply too
 
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