Chapter 3, Problem 3.55P

Interpretation Introduction

(a)

Interpretation:

An expression for $P_1-P_2$ in terms of ${\rho }_{\text{A}},{\rho }_{\text{B}},{\rho }_{\text{C}},h_1$, and $h_{\text{2}}$ is to be derived.

Concept introduction:

Manometer is a device used to measure pressure of gas or vapor at low levels. It is helpful in differentiating static and dynamic pressures. Its shape may be U-tube, inverted or a single tube.

Interpretation Introduction

(b)

Interpretation:

The value of $P_1\left(\text{kPa}\right)$ is to be calculated.

Concept introduction:

Manometer is a device used to measure pressure of gas or vapor at low levels. It is helpful in differentiating static and dynamic pressures. Its shape may be U-tube, inverted or a single tube.

The value of $P_1\left(\text{kPa}\right)$ is calculated by the formula,

$P_1-P_2={\rho }_{\text{B}}g{h}_1+{\rho }_{\text{C}}g{h}_2-{\rho }_{\text{A}}g\left(h_1+h_2\right)$

Where,

• $P_1$ is the pressure exerting on the left side of the manometer tube.
• $P_2$ is the pressure exerting on the right side of the manometer tube.
• ${\rho }_{\text{A}}$ is the density of fluid A.
• $g$ is the acceleration due to gravity.
• $h_1$ the height of fluid B.
• $h_2$ is the height difference of fluid C at the left and right side.