Quiz on Fluids e-Fluids 2 A scuba diver at a depth of 20 m exhales, releasing a

Question

Quiz on Fluids e-Fluids 2 A scuba diver at a depth of 20 m exhales, releasing a spherical bubble of gas with a diameter of 10 cm. The bubble floats towards the surface and assuming that it maintains its spherical shape, what is its diameter when it is 1.0 m below the surface? 1. 2. Icebergs have an average density of 920 kg/m2. Seawater has an average density of 1030 kg/m An iceberg floats in seawater. What percentage of the iceberg's volume is in the air above the surface of the seawater? 10 3o

Explanation / Answer

Given that

A spherical air bubble originating from a scuba diver at a depth of (h1) = 20.0 m

Diameter of the bubble (d2) at 1.0 m (h2) of depth =10.0 cm

Then the radius of the bubble is (r2) =0.085 m

Density of water (?) =1000kg/m3

Atmospheric pressure is (P0)=1.013*105Pa

Acceleation due to gravity (g) =9.8m/s2

We know that

                 PV =constant

Then P1V1=P2V2

(P0+?gh1)(4/3)?r13 = (P0+?gh2)(4/3)?r23

(P0+?gh1)r13 = (P0+?gh2)r23

r13 = (P0+?gh2)r23 / (P0+?gh1)

r13 = (1.013*105+(1000)(9.8)(1))(0.0853) / (1.013*105+(1000)(9.8)(20))

r13 = 0.0002295

r1 = 0.06122 m

d1 = 0.12244 m

d1 = 12 cm   ANS.

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