# 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) Find...

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)

**Find**

The increase in volume of the cube

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### 1 Answer

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.**