The bulb of a mercury thermometer has a volume of at and is connected to a uniform…

PHYSICS · Subjective · A Level · Physics · Further mechanics and thermal physics · Further mechanics and thermal physics

Problem

The bulb of a mercury thermometer has a volume of

0.15\,\text{cm}^3

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

and is connected to a uniform capillary tube of internal cross-sectional area

0.001\,\text{cm}^2

. The real coefficient of cubical expansion of mercury is

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

and the coefficient of cubical expansion of glass is

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

. When the thermometer is heated from

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

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

, calculate the length of the mercury column that rises in the capillary.