Physics

Problem

A sample of cooking oil has a density of

900\,\text{kg m}^{-3}

25\,^{\circ}\!\text{C}

. Its coefficient of cubical expansion is

7.2\times10^{-4}\,\text{K}^{-1}

. (a) Derive a relation connecting the density of the oil at a temperature

T

with its density at

25\,^{\circ}\!\text{C}

. (b) At what temperature (in

^{\circ}\!\text{C}

) will the density of the oil decrease to

880\,\text{kg m}^{-3}