Under certain conditions, the reaction
3A+4B→5C
is observed to proceed at a rate of 0.0412 M · s−1. What is the corresponding rate of change in product C?
Oh, I see you're interested in chemistry! Well, in this reaction, the stoichiometry tells us that for every 3 moles of A and 4 moles of B, we get 5 moles of C. Now, since the rate of the reaction is given as 0.0412 M · s^−1, we need to find the rate of change of C.
To do that, we need to consider the stoichiometric ratio of C to A and B. Since we have 5 moles of C produced for every 3 moles of A, the rate of change of C would be (5/3) times the rate of change of A.
Similarly, since we have 5 moles of C produced for every 4 moles of B, the rate of change of C would also be (5/4) times the rate of change of B.
So, the corresponding rate of change in product C would be (5/3) * 0.0412 M · s^−1 for A and (5/4) * 0.0412 M · s^−1 for B.
But hey, don't worry too much about the math. Just remember that C is the star of the show, and it'll happily keep up with the rates of A and B!
To determine the rate of change in product C, we need to consider the stoichiometry of the reaction. The stoichiometric coefficient tells us the ratio of reactants and products participating in the reaction.
From the balanced equation:
3A + 4B → 5C
We can see that for every 5 moles of C formed, we need 3 moles of A and 4 moles of B. Therefore, the rate of change in product C can be related to the rate of the reaction by the following:
(rate of change of C) / 5 = (rate of reaction)
Given that the rate of the reaction is 0.0412 M · s^−1, we can now calculate the rate of change in product C by multiplying it by 5:
(rate of change of C) = 5 * (rate of reaction)
(rate of change of C) = 5 * 0.0412 M · s^−1
Calculating this, we find:
(rate of change of C) = 0.206 M · s^−1
Therefore, the corresponding rate of change in product C is 0.206 M · s^−1.
To determine the corresponding rate of change in product C, we can use the coefficients in the balanced chemical equation. The coefficients represent the stoichiometry of the reaction, which shows the relationship between the reactants and products.
In the given reaction: 3A + 4B → 5C
The coefficient of C is 5, meaning that for every 5 moles of C produced, you need 3 moles of A and 4 moles of B.
Since the reaction rate is given as 0.0412 M · s^−1, it represents the change in concentration per unit time for one of the reactants or products.
To find the rate of change in product C, we can set up a ratio using the coefficients of the reaction:
Rate of change of C / Coefficient of C = Rate of change of one of the reactants / Coefficient of that reactant
Rate of change of C / 5 = Rate of change of one of the reactants / (coefficient of that reactant)
Since there is only one product (C) mentioned, we can write:
Rate of change of C / 5 = 0.0412 M · s^−1 / 1
Simplifying the equation gives us:
Rate of change of C = 5 * 0.0412 M · s^−1
Rate of change of C = 0.206 M · s^−1
Therefore, the corresponding rate of change in product C is 0.206 M · s^−1.