Percentage Decrease in Specific Volume using Bulk Modulus from Table

AI Thread Summary
The discussion revolves around calculating the percentage decrease in specific volume of water under varying pressures using the bulk modulus. The initial pressure is 15 psia, and the final pressure is 4500 psia at 68°F. A participant initially struggles with their calculations, as the book indicates a decrease of 1.34%. They later arrive at the correct solution by averaging the bulk modulus values at the two pressures. The justification for using the average value of the bulk modulus is based on the assumption of linear behavior within the pressure range. This approach effectively resolves the discrepancy in the initial calculation.
lizzyb
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Homework Statement

"Water in a hydraulic press is subjected to a pressure of 4500 psia at 68 F. If the initial pressure is 15 psia, approximately what will be the percentage decrease in specific volume. Use Table 2.1 (below)."

Homework Equations



http://img86.imageshack.us/img86/7606/scanx200908280001.jpg

http://img198.imageshack.us/img198/2330/scanx200908280002.jpg

The Attempt at a Solution



It seems easy enough:

http://img38.imageshack.us/img38/6264/scanx200908280003.jpg

but the back of the book gives 1.34%; what is wrong with my solution?
thx
 
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I came up with the correct solution taking the average value of E at psia = 15 and 4500 (E = [348000 + 320000]/2); how would I justify this?
 

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