At an absolute temperature To, a cube has sides of length Lo and has density Po.
The cube is made of a material with coefficient of volume expansion po (a) Show that if the temperature increases to To + ΔT, the density of the cube becomes approximately


(Hint: Use the expression (1 + x)n ≈1 + nx, valid for [x] « 1.) Explain why this approximate result is valid only if ΔT is much less than 1/β, and explain why you would expect this to be the case in most situations.
(b) A copper cube has sides of length 1.25 cm at 20.0°C. Find the change in its volume and density when its emperature is increased to 70.0°C.

pr Po(1 - BAT)