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 $25$ m in Lake Michigan $($which is fresh water$),$ what will be the volume at the surface of an $N_2$ bubble that occupied $1\mathrm{.}0m{m}^3$ in his blood at the lower depth? Does it seem that this difference is large enough to be a problem? Assume that the pressure difference is due to only the changing water pressure, not to any temperature difference. This assumption is reasonable, since we are warm$-$blooded creatures.