What height of a mercury column is equivalent to a pressure of 100 psig? The density of mercury is 848 lbm/ft³.

Question

25-07-2024
Physics

High School

We appreciate your visit to What height of a mercury column is equivalent to a pressure of 100 psig The density of mercury is 848 lbm ft³. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

What height of a mercury column is equivalent to a pressure of 100 psig? The density of mercury is 848 lbm/ft³.

Answer :

Other Questions

The visual contrast between textures in graduated form is reduced when sculpted

Use Pascal's triangle to expand the binomial [tex]$(x - 5y)^5$[/tex]. A. [tex]\(y^5

A roller coaster with a potential energy of [tex]$235, 200 \, J$[/tex]

Inca terrace farming and Aztec floating gardens are example of? Is the

Which of the ordered pairs is equal when (5 - x/x, x

How do you determine your Maximum Heart Rate (MHR)? A. 220 x

The true transformation power of lean lies in its inherent ability to

What is last year's cash flow (at $ t=4 $; excluding the

A wave that is 4.25 meters long completes a cycle in 1.37

A 17.1 mg sample of hydrocarbon was burned in the air. The

hrrendera hrrendera · Answer 1 · 2024-04-18T04:00:42-04:00

Final answer:

To find the height of a mercury column equivalent to 100 psi g, convert the pressure to pascals, use the density of mercury in consistent units, and apply the hydrostatic pressure formula.

Explanation:

The student's question is about calculating the height of a mercury column that corresponds to a pressure of 100 psi g, given the density of mercury. First, we need to convert the pressure from psi g (pounds per square inch gauge) to pascals, bearing in mind that 1 psi is equal to 6894.76 Pa and psi g is relative to atmospheric pressure. To get absolute pressure, we add atmospheric pressure (101325 Pa) to the gauge pressure.

Next, we use the hydrostatic pressure formula p = ρgh, where p is pressure, ρ is the density of the fluid, g is the acceleration due to gravity (9.81 m/s²), and h is the height of the fluid column. To find h, we rearrange the formula to h = p / (ρg). We then convert the density of mercury from l bm /ft³ to kg/m³ to ensure consistent units. Finally, plugging in the values into the formula gives us the height of the mercury column equivalent to a pressure of 100 psi g.

Therefore, the pressure exerted by the mercury column is 100 psi - 14.7 psi = 85.3 psi. Using the given density of mercury and gravitational acceleration, we can rearrange the equation to solve for h. Therefore, the height of the mercury column equivalent to a pressure of 100 psi g is approximately 0.0314 feet.