A sealed glass bottle has an internal volume of at

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

Problem

A sealed glass bottle has an internal volume of

1.50\,\text{L}

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

. It is completely filled with an oil whose density is

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

at this temperature. The coefficient of cubical expansion of glass is

9.0\times10^{-6}\,\text{K}^{-1}

and that of the oil is

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

. The bottle is heated to

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

, and no oil is allowed to leak out. (a) Calculate the new internal volume of the bottle at

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

. (b) Assuming the mass of oil remains constant, determine its density at

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

. (c) Compute the percentage change in density of the oil due to the heating.