The density of fresh water is at and at

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

Problem

The density of fresh water is

1000\,\text{kg}\,\text{m}^{-3}

5^{\circ}\text{C}

and

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

35^{\circ}\text{C}

. A pressure gauge on a diving bell reads

2.06\times10^{5}\,\text{Pa}

(gauge) when the bell is at a certain depth in water at

5^{\circ}\text{C}

. If the bell is taken to the same depth when the water temperature is

35^{\circ}\text{C}

, what gauge pressure will the instrument indicate? (Take

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