The fictitious compound, arrhenium fluoride (AhF), reacts with itself to form a dimer with the formula Ah2F2. The reaction is second order in AhF. The value of the rate constant is 1.091×10−3 M−1s−1. What is the initial rate of reaction in a reactor filled with AhF to a concentration of 4.5 M? Express your answer in M⋅s−1.
To calculate the initial rate of reaction, we can use the rate equation for a second-order reaction:
Rate = k[A]^2
Where:
- Rate is the rate of reaction
- k is the rate constant
- [A] is the concentration of AhF
In this case, the rate equation is given by the problem, and the concentration of AhF is also provided.
Substituting the values into the equation:
Rate = k[A]^2
= (1.091×10^-3 M^-1s^-1) * (4.5 M)^2
Now we can calculate the initial rate of reaction:
Rate = (1.091×10^-3 M^-1s^-1) * (4.5 M)^2
= (1.091×10^-3) * (20.25)
= 2.214×10^-2 M⋅s^-1
Therefore, the initial rate of reaction in the reactor filled with AhF to a concentration of 4.5 M is 2.214×10^-2 M⋅s^-1.