Since the material of the cube is copper, we can calculate
the change in volume using the following formula:
(V' -
V)/V = a*(T' - T)
The difference V' - V represents the
change in volume and the difference T' - T represents the change in
temperature.
"a" is the thermal expansion
coefficient
We'll select the thermal expansion coefficient
of copper, that is a = 17 at normal atmospheric
pressure.
We'll calculate teh volume of the
cube:
V = l^3, wher l is the length of the side of the
cube:
V = 2^3 = 8 cm^3
V' - V
= 17*(90-20)*8
V' - V =
9520*10^-6
V' - V =
0.00952
The change in volume of the cube of
copper, heated from 20 to 90 C degrees is V' - V = 0.00952
cm^3.
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