You happen to come across a piece of metal that has a density of $\rho$ = 7.43 g/cm$^3$ when the temperature is $T_0$ = 40.0 $^\circ$C.
If the metal is cooled to a temperature of $T_1$ = 0.00 $^\circ$C, does the density change?
No, density does not depend on temperature.
Yes, the density will decrease since the volume changes.
No, because as the volume changes so does the mass.
Yes, since the metal contracts and the mass is constant, the density will increase.
Calculate the density of the piece of metal at this temperature, $\rho_1$. The coefficient of volume expansion for this piece of metal is
$\beta$ = 6.27 x 10$^{-5}$ 1/$^\circ$C.
$\rho_1$ =
g/cm$^3$