A copper bar of mass `1.5 kg` is heated at atmospheric pressure. Its temperature is increased from `30 ^(@)C ` to `60^(@)C`
(i) What is the work done by the copper ?
(ii) Calculate the amount of heat energy transferred to the copper.
(iii) What is the increase in internal energy of the copper ?
Coefficient of volume expansion of copper is `5.1 xx 10 ^(-5) (""^(@)C) ^(-1).` Density of copper is `8.92 xx10 ^(3) kg//m ^(3).` Specific heat capacity of copper is `387 J kg ^(-1) K ^(-1) .`

Explanation

To solve the problem step by step, we will address each part of the question systematically.

### Given Data:
- Mass of copper bar, \( m = 1.5 \, \text{kg} \)
- Initial temperature, \( T_1 = 30 \, ^\circ C \)
- Final temperature, \( T_2 = 60 \, ^\circ C \)
- Coefficient of volume expansion of copper, \( \gamma = 5.1 \times 10^{-5} \, (^\circ C)^{-1} \)
- Density of copper, \( \rho = 8.92 \times 10^3 \, \text{kg/m}^3 \)
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