# Find work done on an isobaric system

1. The problem statement, all variables and given/known data
A 1kg box of Aluminum initially at 22C is warmed at P=1atm so that its T increases to 40C. Find
a) The work done on the system

2. Relevant equations

W= -∫PdV

3. The attempt at a solution

The pressure is constant at 101,300Pa

D=m/V

So V=m/D

D of Al at room temp = 2700kg/m^3

Therefore

$W= -101,300Pa \frac{1kg}{2700kg/m^{3}}(1+24×10^{-6}(18))^{3}$

Where ΔT=18 and 24×10^-6 is the linear coefficient of expansion of Aluminum.

= -37.6J

Not the right answer, it should be around 48mJ. I can’t see what I’m doing wrong here.

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