On Planet X the surface atmospheric pressure is and the acceleration due to gravity is

PHYSICS · Multi-part · AP · Physics 1: Algebra-based · Fluids · Fluids

Problem

On Planet X the surface atmospheric pressure is

6.1\times10^{2}\,\text{Pa}

and the acceleration due to gravity is

3.7\,\text{m\,s}^{-2}

. A reservoir on the planet is filled with liquid ammonia of density

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

. (i) At what depth below the liquid surface will the absolute pressure reach

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

? (ii) For comparison, calculate the gauge pressure at the same depth in water on Earth, where

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

and atmospheric pressure is

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

. (iii) Comment on why engineers on Planet X would need deeper reservoirs than on Earth to obtain the same absolute pressure.