- #1
bolzano95
- 89
- 7
Homework Statement
A steel container is filled with alcohol. For how much kelvins we have to raise the temperature for the pressure to be raised by 6 bar?
Compressibility of alcohol is
[tex]
\kappa=1.15 \cdot 10^{-4} bar^{-1}
[/tex]
temperature coefficient of volume expansion of alcohol is
[tex]
\beta_a= 7.5 \cdot 10^{-4} K^{-1}
[/tex]
temperature coefficient of length expansion of steel is
[tex]
\alpha_s= 1.2 \cdot 10^{-5} K^{-1}
[/tex]
Homework Equations
Look at attempt at solution.
The Attempt at a Solution
I solved this problem like this:
[tex]
\frac{\Delta V}{V}=(\beta_a-3\alpha)\Delta T\\
\frac{\Delta V}{V}=\kappa\Delta p\\
\frac{\kappa\Delta p}{\beta_a-3\alpha}=\Delta T= 0.97K\\
[/tex]
But the solution is wrong. The correct answer is 9.7K. I'm interested where I made a mistake.