Please help me identify this equation and the theory

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The discussion revolves around understanding the pressure equation used to calculate the volume of an air bubble as it ascends from a depth of 115 meters in a lake. The equation P2 = P1 + hdg is identified as a pressure equilibrium equation, where P1 is atmospheric pressure (1.013 x 10^5 Pa), h is height, d is the density of the fluid (1025 kg/m3 for water), and g is the acceleration due to gravity. The user confirms that 1.013 x 10^5 Pa is indeed equivalent to 1 atmosphere of pressure. The calculations lead to the correct volume of the bubble at the surface, demonstrating the application of the ideal gas law. The discussion highlights the need for clarity on the variables involved and the underlying principles, specifically Pascal's Principle and static fluid pressure.
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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.
 
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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.
 
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