Question

A glass tube is attached to a water pipe, as shown in Fig. $P 1-108 .$ If the water pressure at the bottom of the tube is $110 \mathrm{kPa}$ and the local atmospheric pressure is $99 \mathrm{kPa}$, determine how high the water will rise in the tube, in $\mathrm{m}$. Take the density of water to be $1000 \mathrm{kg} / \mathrm{m}^{3}$

Name: Problem 108, Chapter 1: Thermodynamics: An Engineering Approach
Uploaded: 2020-07-06T20:42:23-08:00
Duration: 51 s
Channel: Mayukh Banik
Description: A glass tube is attached to a water pipe, as shown in Fig. P 1-108 . If the water pressure at the bottom of the tube is 110 kPa and the local atmospheric pressure is 99 kPa, determine how high the water will rise in the tube, in m. Take the density of water to be 1000 kg / m^3

   A glass tube is attached to a water pipe, as shown in Fig. $P 1-108 .$ If the water pressure at the bottom of the tube is $110 \mathrm{kPa}$ and the local atmospheric pressure is $99 \mathrm{kPa}$, determine how high the water will rise in the tube, in $\mathrm{m}$. Take the density of water to be $1000 \mathrm{kg} / \mathrm{m}^{3}$

Thermodynamics: An Engineering Approach

Yunus A. Çengel,… 8th Edition

Chapter 1, Problem 108

Instant Answer

Solved by Expert Mayukh Banik

07/06/2020

Step 1

This can be expressed as: \[P_{\text{total}} = P_{\text{atm}} + \rho g h\] Show more…

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A glass tube is attached to a water pipe, as shown in Fig. $P 1-108 .$ If the water pressure at the bottom of the tube is $110 \mathrm{kPa}$ and the local atmospheric pressure is $99 \mathrm{kPa}$, determine how high the water will rise in the tube, in $\mathrm{m}$. Take the density of water to be $1000 \mathrm{kg} / \mathrm{m}^{3}$

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Key Concepts

Hydrostatic Pressure

Hydrostatic pressure is the pressure exerted by a fluid at rest due to the influence of gravity. It increases proportionally with depth and is given by the formula p = ?gh, where ? is the fluid density, g is the gravitational acceleration, and h is the height of the fluid column.

Pressure Differential

The pressure differential is the difference between two pressures acting at different points. In fluid statics, this differential drives the movement or rise of a fluid in a confined space, and it is used to calculate the height of a fluid column through the relationship h = ?p/(?g), where ?p is the pressure difference.

Fluid Density

Fluid density is a measure of mass per unit volume and fundamentally influences how pressure builds in a fluid under gravity. It is a critical parameter in calculating hydrostatic pressure and is intrinsic to understanding how fluids behave when subjected to pressure gradients.

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