- #1
forestmine
- 203
- 0
Homework Statement
A certain metal has a coefficient of linear expansion of 2.00 × 10-5 K-1. It has been kept in a laboratory oven at 325°C for a long time. It is now removed from the oven and placed in a freezer at -145°C. After it has reached freezer temperature, the percent change in its density during this process is closest to
Homework Equations
ΔL=[itex]\alpha[/itex]L_oΔT, where alpha is the coefficient of linear expansion
ΔV=βV_0ΔT
3[itex]\alpha[/itex]=β
ρ = m/V
The Attempt at a Solution
Because density is related to volume, I figured that although we are given the coefficient of linear expansion, it should be converted to the coefficient of volumetric expansion, so that we can work with the second equation listed. But since we're not given any values for volume or length, I get an answer of ΔV=.0282V_0. Plugging this into ρ=m/V, doesn't really get me anywhere.
I'm sure my approach is not quite right, but there aren't any other solutions coming to mind.
Any help would be greatly appreciated. Thank you!