Physics

Problem

An aluminium block has a mass of

2\,\text{kg}

and a density of

2.7\times10^{3}\,\text{kg m}^{-3}

30\,^{\circ}\text{C}

. It is heated to

230\,^{\circ}\text{C}

. Assuming its mass remains constant and taking the volume coefficient of expansion of aluminium as

7.5\times10^{-5}\,\text{K}^{-1}

, determine its new density.