- #1
hnnhcmmngs
- 19
- 0
Homework Statement
[/B]
Find the equation of state of a solid that has an isobaric expansion coefficient
dV/dT = 2cT - bp
and an isothermal pressure-volume coefficient
dV/dp = -bT
(Assume the solid has a volume Vo at zero temperature and pressure. Enter a mathematical equation. Use any variable or symbol stated above as necessary.)
Homework Equations
None, just need to find the integral of the first equation
The Attempt at a Solution
[/B]
So I took the integral of the first equation to find the volume equation:
V = ∫(2cT - bp)dT = cT^2 - bpT + Vo
but Vo = 0, so:
V = cT^2 - bpT
or
V - cT^2 +bpT = 0
However, when I entered this as the answer, it marked it as wrong. Then I found the answer to this question in my textbook and it says that the correct answer is:
V - bpT + cT^2 = 0
So is the textbook wrong? Or did I do something wrong in my solution?
Last edited: