Question

The volume of a small piece of metal is 5.000cm3 at 200C and 5.014cm3 at 1000C. Determine the cubic expansivity of the metal?

Answer 1

Solution.

$V_1=5.000cm^3;$

$T_1=200^oC;$

$V_2=5.014cm^3;$

$T_2=1000^oC;$

$\alpha_V-?;$

$\alpha_V=\dfrac{1}{V}\sdot\dfrac{\Delta V}{\Delta T};$

$\alpha_V=\dfrac{1}{5.000cm^2}\sdot\dfrac{0.014cm^2}{800^oC}=3.5\sdot10^{-6}1/^oC;$

Answer: $\alpha_V=3.5\sdot10^{-6}$ ^oC^-1.