A SCUBA driver is 100 ft below the surface of the ocean where the water exerts a pressure 43.3 psi at 18.0o The diver exhales and many bubbles are released and these bubbles rise to the surface where the atmospheric pressure is 1.03 psi and the temperature is 36.0o C.  One bubble has a volume of 20.0 mL.  What is the volume of the bubble at the surface?  You may assume the composition of the bubble does not change and the bubble remains intact as it rises.   P1 =                              P2 = V1 =                              V2 = n1 =                              n2 = T1 =                               T2 =

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Chapter5: Gases
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Problem 108E
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  1. A SCUBA driver is 100 ft below the surface of the ocean where the water exerts a pressure 43.3 psi at 18.0o The diver exhales and many bubbles are released and these bubbles rise to the surface where the atmospheric pressure is 1.03 psi and the temperature is 36.0o C.  One bubble has a volume of 20.0 mL.  What is the volume of the bubble at the surface?  You may assume the composition of the bubble does not change and the bubble remains intact as it rises.

 

P1 =                              P2 =

V1 =                              V2 =

n1 =                              n2 =

T1 =                               T2 =

Expert Solution
Step 1) Given data & convertion

Intial (below surface)    final ( at surface) 

P1 =   43.3 psi                P2 = 1.03 psi

                  Pressure in atm

              1  psi = 0.068046 atm

P1=43.3×0.068046 atm  P2=1.03×0.068046 atm

P1 = 2.94639 atm       P2 = 0.070087 atm

 

V1 = 20 mL                     V2 = ? mL

 

T1 = 18.0°c                   T2 = 36.0°c

                  Temperature in Kelvin

                  0° c = 273.15 atm

T1 = 18 + 273.15         T2 = 36 + 273.15

T1 = 291.15 K                 T2 = 309.15 K

*  ideal gas equation =>

                   P V = n R T

For intial  =>    PV= n R T

For final  =>   PV = n R T2

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