/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 3 Considering the magnitude of typ... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

Considering the magnitude of typical arterial blood pressures, why are mercury rather than water manometers used for these measurements?

Short Answer

Expert verified
Mercury manometers are used because mercury's high density allows for a much shorter column to measure blood pressure, making them more practical for clinical use compared to water manometers which would require an impractically tall column.

Step by step solution

01

Understanding Mercury and Water Manometers

Begin by understanding the principle of a manometer, which is a device used for measuring pressure. A manometer measures pressure by balancing the weight of a fluid column against the pressure to be measured. In a mercury manometer, the dense mercury (Hg) is used, while in a water manometer, water is the fluid used.
02

Considering the Densities

Recognize that the density of mercury is much higher than the density of water. Mercury's density is about 13.6 times greater than that of water. Therefore, for the same pressure, the height of the mercury column will be much less than the height of the water column.
03

Comparing the Height of the Columns

Calculate the height of the water column that would be required to measure standard arterial pressure. The typical systolic arterial blood pressure is approximately 120 mm Hg, which means it would require a water column of approximately 120 mm Hg * 13.6 ≈ 1632 mm of water (or 1.632 meters) to measure this pressure.
04

Understanding Practicality and Safety

Mercury manometers are more practical because they require less space due to the smaller height of the mercury column needed to measure a given pressure. In contrast, a water manometer for the same pressure would be impractically tall, making it difficult to use and read in a typical clinical setting. Furthermore, water evaporates more readily than mercury, which can introduce measurement errors.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91Ó°ÊÓ!

Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Mercury Manometer
When it comes to measuring blood pressure, the mercury manometer has been the instrument of choice for most medical professionals. Its accuracy and reliability are rooted in the simple, yet effective design where atmospheric pressure is compared against the pressure exerted by a column of mercury. The higher density of mercury makes the column shorter and more manageable.

Moreover, a mercury manometer provides a clear visual indication of blood pressure by the precise level the mercury reaches within a tube. As the heart beats, the resulting pressure fluctuations cause the mercury to rise and fall, which is easily observed and measured against a calibrated scale. This intuitive method allows healthcare providers to diagnose and monitor patients' health with ease.
Water Manometer
A water manometer functions similarly to its mercury counterpart, except it uses water as the fluid medium. Despite being less common for blood pressure measurement, it offers an educational insight into the principles of pressure and the role of fluid density.

Due to its lower density, a water manometer would require a taller column to equate the same pressure that mercury measures in a much shorter space. For example, a column of water 1.632 meters high would be needed to match the pressure indicated by 120 mm of mercury. This not only makes the water manometer impractical for clinical settings but also more susceptible to errors from evaporation, as water turns to vapor at a lower temperature than mercury.
Density

Understanding Density in Fluids

At the core of why mercury is preferred over water for manometers is the concept of density, which is defined as the mass of a substance per unit volume. Dense materials, like mercury, pack more mass into a smaller volume than less dense materials, like water.

When measuring pressure using a fluid column, the weight of the fluid column is what balances the pressure to be measured. The denser the fluid, the shorter the column required for a given pressure. Since mercury is approximately 13.6 times denser than water, it results in a considerably more compact measurement device. This fundamental principle is not only essential in medical instruments but also in various scientific and industrial pressure measurements.
Arterial Blood Pressure
Arterial blood pressure is a vital health metric that reflects the force of blood as it moves through the arteries. It's usually presented with two numbers: systolic pressure, the peak force during heartbeats, and diastolic pressure, the resting force between beats. The standard measurement, often cited as 120/80 mm Hg, where 'mm Hg' specifies millimeters of mercury, elucidates the heart’s strength and efficiency.

A mercury manometer effectively captures these pulsatile changes, translating the arterial pressures into visible movements of a mercury column. Accurate blood pressure measurement is crucial in diagnosing and managing conditions like hypertension, which if left uncontrolled, can lead to serious health complications.

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

How do jogging on soft ground and wearing padded shoes reduce the pressures to which the feet and legs are subjected?

A certain hydraulic system is designed to exert a force 100 times as large as the one put into it. (a) What must be the ratio of the area of the slave cylinder to the area of the master cylinder? (b) What must be the ratio of their diameters? (c) By what factor is the distance through which the output force moves reduced relative to the distance through which the input force moves? Assume no losses to friction.

Give an example in which density is used to identify the substance composing an object. Would information in addition to average density be needed to identify the substances in an object composed of more than one material?

Calculate the average pressure exerted on the palm of a shot-putter's hand by the shot if the area of contact is \(50.0 \mathrm{~cm}^{2}\) and he exerts a force of \(800 \mathrm{~N}\) on it. Express the pressure in \(\mathrm{N} / \mathrm{m}^{2}\) and compare it with the \(1.00 \times 10^{6}\) Pa pressures sometimes encountered in the skeletal system.

As a woman walks, her entire weight is momentarily placed on one heel of her high-heeled shoes. Calculate the pressure exerted on the floor by the heel if it has an area of \(1.50 \mathrm{~cm}^{2}\) and the woman's mass is \(55.0 \mathrm{~kg}\). Express the pressure in Pa. (In the early days of commercial flight, women were not allowed to wear high-heeled shoes because aircraft floors were too thin to withstand such large pressures.)

See all solutions

Recommended explanations on Physics Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.