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Related Rates
5. Applications of Derivatives / Related Rates / Problem 3
Problem 3

Avogadro's law states that for a given temperature and pressure, the volume VV (in liters) and the number of moles nn of a gas are directly proportional, given by the equation V=knV = kn, where k>0k > 0 is a constant. Suppose the volume of a gas is increasing at a rate of 0.3 L/min0.3\text{ L/min} when the volume V=5 LV=5\text{ L} and the number of moles is n=1 moln=1\text{ mol}. Determine the rate at which the number of moles is changing at this moment.

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