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The rate at which the volume of a mothball evaporates from solid to gas is proportional to

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The rate at which the volume of a mothball evaporates from solid to gas is proportional to the surface area of the ball. Suppose a mothball has been observed at one time to have a radius of 0.5 in. and, six months later, a radius of 0.25 in.
(a) Express the radius of the mothball as a function of time.
(b) When will the mothball disappear completely?
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a We have dVdt kA where V is the volume t is time A is the surface area and k is a positiv...View the full answer


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