The density of mercury decreases by when its temperature rises from to

PHYSICS · Subjective · AP · Physics 1: Algebra-based · Fluids · Fluids

Problem

The density of mercury decreases by

0.7\%

when its temperature rises from

0^{\circ}\text{C}

30^{\circ}\text{C}

. A mercury barometer kept at

30^{\circ}\text{C}

reads

75.0\,\text{cm}

. (i) Determine the atmospheric pressure in pascal. (ii) What height would the mercury column show if the same pressure were measured with mercury at

0^{\circ}\text{C}

? Take

\rho_{0}=13.6\times10^{3}\,\text{kg\,m}^{-3}

for mercury at

0^{\circ}\text{C}

and

g = 9.8\,\text{m\,s}^{-2}