Adiver 40 m deep in 10∘c fresh water exhales a 1.0-cm-diameter bubble. what is the bubble's diameter just as it reaches the surface of the lake, where the water temperature is 20∘c? assume that the air bubble is always in thermal equilibrium with the surrounding water. express your answer to two significant figures and include the appropriate units.

The diameter of the air bubble when it reaches the surface is about 1.7 cm

The basic formula of pressure that needs to be recalled is:

Pressure = Force / Cross-sectional Area

or symbolized:

P = Pressure (Pa)

F = Force (N)

A = Cross-sectional Area (m²)

Let us now tackle the problem !

In this problem , we will use Ideal Gas Law as follows:

Given:

initial diameter of bubble = d₁ = 1.0 cm

initial depth of the diver = h = 40 m

initial temperature = T₁ = 10 + 273 = 283 K

atmospheric pressure = Po = 1.0 atm = 10⁵ Pa

final temperature = T₂ = 20 + 273 = 293 K

density of water = ρ = 1000 kg/m³

Unknown:

final diameter of bubble = d₂ = ?

Solution:

Grade: High School

Subject: Physics

Chapter: Pressure

massxgravity x heght=weightxheight= pe

4900=490xh

h=10

its a 5.5 n

glad that