A thin-walled glass flask has an inner volume of at

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

Problem

A thin-walled glass flask has an inner volume of

500\,\text{cm}^3

4^{\circ}\text{C}

. It is completely filled with water at this temperature and then cooled to

0^{\circ}\text{C}

. The coefficient of linear expansion of glass is

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

and the average coefficient of volume expansion of water between

0^{\circ}\text{C}

and

4^{\circ}\text{C}

-3.7\times10^{-4}\,\text{K}^{-1}

. Determine whether water will overflow or an air gap will appear in the flask after cooling. Support your answer with a short calculation.