A diver observes a bubble of air rising from the bottom of a lake (where the abs

Question

A diver observes a bubble of air rising from the bottom of a lake (where the absolute pressure is 3.05 atm ) to the surface (where the pressure is 1.00 atm). The temperature at the bottom is 4.0 C and the temperature at the surface is 23.0 C.

A)What is the ratio of the volume of the bubble as it reaches the surface to its volume at the bottom?

B)Would it be safe for the diver to hold his breath while ascending from the bottom of the lake to the surface? Why or why not? options below

1)This increase in volume of air in the lungs would be dangerous. 2)This decrease in the volume of air in the lungs would be dangerous. 3)There would be no change in volume in the lungs so it would not be dangerous. 4)This increase in the pressure of the air in the lungs would be dangerous.

Explanation / Answer

pv=nrt
(PV)/T =nR

nR is constant

(3.05 Vb)/(4+273) = Vs/(23+273)

Vs/Vb = 277/902.8 = (A)

Part (B) Option (4) is the correct answer.

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