Most species of fish have expandable sacs, commonly known as \"swim bladders,\"

Question

Most species of fish have expandable sacs, commonly known as "swim bladders," that enable fish to rise in the water by filling the bladders with oxygen collected by their gills and to sink by emptying the bladders into the surrounding water. A freshwater fish has an average density equal to 1.05 kg/L when its swim bladder is empty. How large must the volume of oxygen in the fish's swim bladder be if the fish is to have neutral buoyancy? The fish has a mass of 0.82 kg. Assume the density of oxygen in the bladder is equal to air density at standard temperature and pressure.

Explanation / Answer

Volume of fish=0.82/1.05=0.781l

density of air=0.00129 kg/l

for neutral buoyancy,

0.00129V+0.82=1*(V+0.781)

V=0.039l=39 ml

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