Under certain conditions, the reaction
3 A + 4 B → 5 C
is observed to proceed at a rate of
0.0106 M · s−1.
What is the corresponding rate of change in product C?
1. 0.0318 M · s−1
2. 0.0106 M · s−1
3. 0.00353333 M · s−1
4. −0.00212 M · s−1
5. 0.00212 M · s−1
6. −0.0318 M · s−1
7. −0.00353333 M · s−1
8. −0.053 M · s−1
9. 0.053 M · s−1
10. −0.0106 M · s−1
rate = 1/5*(dC/dT)
dC/dT = ?
To determine the corresponding rate of change in product C, we can use the stoichiometry of the reaction.
Given that the reaction is:
3A + 4B -> 5C
The reaction rate can be expressed as:
Rate = -1/3 * d[A]/dt = -1/4 * d[B]/dt = 1/5 * d[C]/dt
Given that the rate of the reaction is 0.0106 M/s, we can find the rate of change in product C by rearranging the equation:
d[C]/dt = 5 * Rate = 5 * 0.0106 M/s = 0.053 M/s
Therefore, the corresponding rate of change in product C is 0.053 M/s, which corresponds to option 9.
To determine the corresponding rate of change in product C, we need to examine the stoichiometry of the reaction. The stoichiometric coefficients represent the molar ratios between the reactants and products.
From the balanced equation: 3 A + 4 B → 5 C, we can see that for every 5 moles of product C formed, 3 moles of A and 4 moles of B are consumed.
The rate of reaction is given as 0.0106 M · s−1, which represents the rate of change of reactants A and B. We need to find the rate of change of product C.
Using the stoichiometry, we can determine the ratio of the rates of change for reactants and products as follows:
Rate of A: Rate of B: Rate of C = 3 : 4 : 5
Let's denote the rate of change of product C as x.
Then, we can set up the following proportion:
(0.0106 M/s) / x = (3 / 5)
Now, we can solve for x by cross-multiplying:
0.0106 M/s * 5 = x * 3
0.053 M/s = 3x
Divide both sides of the equation by 3:
0.053 M/s / 3 = x
0.0177 M/s = x
Therefore, the corresponding rate of change in product C is 0.0177 M/s.
None of the provided options match exactly with the calculated value of 0.0177 M/s. The closest option is 0.0106 M/s, but this value corresponds to the rate of change of the reactants, not the product. Thus, the correct answer is not given among the provided choices.