A sample of cooking oil has a density of at

PHYSICS · Subjective · CBSE · Physics · Thermal Properties of Matter · Thermal Properties of Matter

Problem

A sample of cooking oil has a density of 900 kg m−3900\,\text{kg m}^{-3} at 25 ∘ ⁣C25\,^{\circ}\!\text{C}. Its coefficient of cubical expansion is 7.2×10−4 K−17.2\times10^{-4}\,\text{K}^{-1}. (a) Derive a relation connecting the density of the oil at a temperature TT with its density at 25 ∘ ⁣C25\,^{\circ}\!\text{C}. (b) At what temperature (in ∘ ⁣C^{\circ}\!\text{C}) will the density of the oil decrease to 880 kg m−3880\,\text{kg m}^{-3}?

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