In one kind of chemical reaction, unconverted reactants change into converted reactants.The fractiona of reactants that have been converted increases at a rate proportional to the product of the fraction of converted reactants and the fraction of unconverted reactants.Which equation describes this relationship?Choose 1 answer:(A) dtda=1−aka(B) dtda=ka(1−a)(c) dtda=a(1−a)k(D) dtda=ka2
Q. In one kind of chemical reaction, unconverted reactants change into converted reactants.The fraction a of reactants that have been converted increases at a rate proportional to the product of the fraction of converted reactants and the fraction of unconverted reactants.Which equation describes this relationship?Choose 1 answer:(A) dtda=1−aka(B) dtda=ka(1−a)(c) dtda=a(1−a)k(D) dtda=ka2
Define Fraction Conversion: Let's denote the fraction of reactants that have been converted by a. According to the problem, the rate of change of a with respect to time t, denoted as dtda, is proportional to the product of the fraction of converted reactants a and the fraction of unconverted reactants 1−a. The constant of proportionality is k.
Rate of Change Equation: The equation that describes this relationship should therefore be dtda=k⋅a⋅(1−a), where k is the constant of proportionality.
Match with Given Choices: Looking at the given choices, we can see that option (B) dtda=ka(1−a) matches the equation we derived in the previous step.
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