Chapter 2, Problem 2.4P

(a)

Interpretation Introduction

Interpretation:

The height of the heavy-liquid overflow leg is to be calculated.

Concept Introduction:

The formula to calculate the height of the heavy-liquid overflow leg is calculated as:

  $Z_{A2}=Z_{A1}\left(1-\frac{{\rho }_B}{{\rho }_A}\right)+Z_T\left(\frac{{\rho }_B}{{\rho }_A}\right)$ ...... (1)

Here, $Z_{A1}$ is the depth of the heavy liquid in the vessel, $Z_{A2}$ is the height of the heavy-liquid overflow leg, $Z_T$ is the total height of the vessel, ${\rho }_A\text{ and }{\rho }_B$ are the densities of heavy liquid and light liquid respectively.

(b)

Interpretation Introduction

Interpretation:

The effect of 50 mm error in the height of the heavy-liquid overflow leg on the position of the interface is to be determined.

Concept Introduction:

The formula to calculate the height of the heavy-liquid overflow leg is calculated as:

  $Z_{A2}=Z_{A1}\left(1-\frac{{\rho }_B}{{\rho }_A}\right)+Z_T\left(\frac{{\rho }_B}{{\rho }_A}\right)$ ...... (1)

Here, $Z_{A1}$ is the depth of the heavy liquid in the vessel, $Z_{A2}$ is the height of the heavy-liquid overflow leg, $Z_T$ is the total height of the vessel, ${\rho }_A\text{ and }{\rho }_B$ are the densities of heavy liquid and light liquid respectively.