An aquatic organism needs to be neutrally buoyant to stay at a constant depth. Fish accomplish this with an internal swim bladder they can fill with air that they take in from the water through their gills. One complication is that the pressure in the swim bladder matches that of the surrounding water, but the water pressure changes with depth. Because the volume of a gas is inversely proportional to pressure (as you may already know if you have studied the ideal-gas law), the volume of air in a fish's swim bladder decreases with depth unless the fish actively adds more air. Part A Consider a 3.9 kg freshwater fish whose tissues have an average density of 1050 kg/m³. To what volume in mL must the swim bladder be inflated for the fish to be neutrally buoyant at the surface? Express your answer in milliliters to two significant figures. AV = Submit [VD ΑΣΦ Previous Answers Request Answer X Incorrect; Try Again; 5 attempts remaining ? mL

Principles of Physics: A Calculus-Based Text
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Chapter15: Fluid Mechanics
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An aquatic organism needs to be neutrally buoyant to
stay at a constant depth. Fish accomplish this with an
internal swim bladder they can fill with air that they
take in from the water through their gills. One
complication is that the pressure in the swim bladder
matches that of the surrounding water, but the water
pressure changes with depth. Because the volume of
a gas is inversely proportional to pressure (as you
may already know if you have studied the ideal-gas
law), the volume of air in a fish's swim bladder
decreases with depth unless the fish actively adds
more air.
▼
Part A
Consider a 3.9 kg freshwater fish whose tissues have an average density of 1050 kg/m³. To what volume in mL must the
swim bladder be inflated for the fish to be neutrally buoyant at the surface?
Express your answer in milliliters to two significant figures.
AV =
Submit
VD] ΑΣΦ
Previous Answers Request Answer
X Incorrect; Try Again; 5 attempts remaining
?
mL
Transcribed Image Text:An aquatic organism needs to be neutrally buoyant to stay at a constant depth. Fish accomplish this with an internal swim bladder they can fill with air that they take in from the water through their gills. One complication is that the pressure in the swim bladder matches that of the surrounding water, but the water pressure changes with depth. Because the volume of a gas is inversely proportional to pressure (as you may already know if you have studied the ideal-gas law), the volume of air in a fish's swim bladder decreases with depth unless the fish actively adds more air. ▼ Part A Consider a 3.9 kg freshwater fish whose tissues have an average density of 1050 kg/m³. To what volume in mL must the swim bladder be inflated for the fish to be neutrally buoyant at the surface? Express your answer in milliliters to two significant figures. AV = Submit VD] ΑΣΦ Previous Answers Request Answer X Incorrect; Try Again; 5 attempts remaining ? mL
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