A closed gas tank is connected to an open-ended manometer containing oil of density

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

Problem

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

. The pressure of the gas in the tank exceeds atmospheric pressure by

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

. (a) Derive an expression for the difference in oil levels,

h

, required to balance a given pressure difference

\Delta P

between the tank and the atmosphere. (b) Calculate the value of

h

for the given data. (c) If the oil is replaced by a liquid of density

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

, find the new level difference and state how it compares with the value obtained in part (b).