A cube of cooper 2.00 cm on a side is suspended by a string. The cube is heated with a burner from 20.0◦C to 90.0◦C.
The air surrounding the cube is atmospheric pressure (1.01 × 105Pa)
The increase in volume of the cube
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.