- #1

Bergman

## Homework Statement

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.

## Homework Equations

W=-PdV

dV=V(alpha)dT-V(beta)dP

dT=0

## The Attempt at a Solution

I used the work equation and the equation for dV to find the following:

delta W=-P[-V(beta)dP]

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.