If deep-sea divers rise to the surface too quickly, nitrogen bubbles in their blood can expand and prove fatal. This phenomenon is known as the bends. If a scuba diver rises quickly from a depth of 25.0 m in Lake Michigan (which is fresh water), what will be the volume at the surface of an N2 bubble that occupied 1.00 mm3 in his blood at the lower depth?

3.42 cubic mm

Explanation:

Let density of fresh water be

And atmospheric pressure at the water surface be

Let g = 9.8 m/s2. The pressure at the dept of h = 25 m is

Using ideal gas law and assume constant temperature, we have the following equation to calculate the volume at the water surface , knowing that the volume at the lower depth V = 1 mm3:

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