Estimate the pressure increase required to impart one joule of mechanical work in reversibly compressing 1 mol of silver at room temperature.
Same process for alumina.
The Attempt at a Solution
I used the work equation and the equation for dV to find the following:
delta W= V(beta) integral (PdP)
W= VBeta/2 * (P2^2-P1^2)
When I try to use this equation with the values in my text book, I am not getting the correct answer. My book gives the molar volume as 10.27 cc/mol, and the beta value for silver as 9e7.
At this point I'm not entirely sure if my equation is correct and I'm simply making a mistake in my calculations or units, or I'm very far off.
Any advice would be greatly appreciated.