Please help me identify this equation and the theory

  • Thread starter Thread starter smashbrohamme
  • Start date Start date
  • Tags Tags
    Theory
Click For Summary
SUMMARY

The discussion centers on the application of pressure equations in fluid dynamics, specifically regarding an air bubble's ascent from a depth of 115 meters in a lake. The equation P2 = P1 + hdg is identified as a hydrostatic pressure equation, where P2 is the pressure at the surface, P1 is the pressure at depth, h is the height, d is the density of the fluid (1025 kg/m³ for seawater), and g is the acceleration due to gravity (9.8 m/s²). The atmospheric pressure of 1.013 x 10^5 Pa is confirmed as equivalent to 1 atm, clarifying the pressure conditions affecting the bubble's volume change as it rises.

PREREQUISITES
  • Understanding of hydrostatic pressure equations
  • Knowledge of Pascal's Principle
  • Familiarity with the concept of atmospheric pressure
  • Basic principles of fluid dynamics
NEXT STEPS
  • Study the derivation and applications of the hydrostatic pressure equation
  • Learn about Pascal's Principle and its implications in fluid mechanics
  • Explore the relationship between pressure, volume, and temperature in gases using the Ideal Gas Law
  • Investigate the effects of buoyancy on submerged objects and gases
USEFUL FOR

Students and professionals in physics, engineering, and environmental science who are interested in fluid dynamics and pressure-related phenomena.

smashbrohamme
Messages
97
Reaction score
1
Ok first off, I got the answer so this should be simple to answer for someone who understands the theory.

Sadly I must admit, the equation I used I have no real information behind it and I simply need to learn how it works and why I need to use it.

First I will give you the problem:
An air bubble has a volume of 1.70 cm3 when it is released by a submarine 115 m below the surface of a lake. What is the volume of the bubble when it reaches the surface? Assume the temperature and the number of air molecules in the bubble remain constant during its ascent

Simply P2=P1+hdg is the equation I started with.
P2=(1.013 x 10^5)+115(1025)(9.8)= 12.56 x 10^5.

First off what is this equation called, It was given to me out of thin air and I am assuming its a simply equilibrium equation of Pressure?

Second the (hdg) H=height D= ? G= Gravity.

Is 1.013 x 10^5 atmoshperic pressure? I thought simply 1 was?

Where did D=1025 come from? I am lost here.

I finished the problem using V=((P2V2)/P1) and I got the right answer. Now i need to understand where the two variables came from. 1.013 x 10^5= 1atm?

D=1025?

Also if you are feeling frisky please identify these equations and give me a brief explanation on why they work please. I am totally lost.
 
Physics news on Phys.org
The concepts (theories) that you want to investigate are Pascal's Principle and static fluid pressure. Here's a link to some information.

A density of 1025 kg/m3 is typical for seawater.

The unit atm represents one standard atmosphere of pressure. It is equivalent to 101325 Pa.
 

Similar threads

  • · Replies 2 ·
Replies
2
Views
5K
Replies
2
Views
5K
Replies
2
Views
2K
Replies
3
Views
8K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 6 ·
Replies
6
Views
3K
  • · Replies 5 ·
Replies
5
Views
12K
Replies
2
Views
4K
  • · Replies 1 ·
Replies
1
Views
8K
  • · Replies 7 ·
Replies
7
Views
3K