343 Mothballs tend to evaporate at a rate proportional to their surface area. If V is the volume of a mothball, then its surface area is roughly a constant times V. So the mothball's volume decreases at a rate proportional to V. Suppose that initially a mothball has a volume of 8 cubic centimeters and 2 weeks later has a volume of - cubic centimeters. Construct and solve a differential equation satisfied by the volume at time t. Then determine if and when the mothball will vanish (V = 0). What is the differential equation where k is the constant of proportionality and k 0 is a rate constant and the positive integer n is the order oilhe reaction. Complete parts (a) In (C) below. a. Show that for a rst-order reaction (n :1)' the concentration obeys an expenentiai decay law dy First, write a : , ky in separated forrn