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A swimmer has 8.20 x 10^-4 m^3 of air in his lungs when he dives into a lake. Assuming the pressure of the air is 95 percent of the external pressure at all times, what is the volume of the air at a depth of 10.0 m? Assume that the atmospheric pressure at the surface is 1.013 x 10^5 Pa, the density of the lake water is 1.00 x 10^3 kg/m^3, and the temperature is constant.

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