for the reaction A + B C the concentrations of AB, and C are 0.2M, 0.4M and0.)M respectively at 0 minutes. After 30 minutes the concentrations of A and B drop to ).080mM and 0.280M respectively, while the concentration of C rises to 0.120M. Calculate the rate of this reaction.
To calculate the rate of a reaction, we generally use the formula:
Rate of reaction = Δ[C] / Δt
Where Δ[C] represents the change in concentration of a reactant or product, and Δt represents the change in time.
In this case, we have the concentrations of A, B, and C at two different time points: 0 minutes and 30 minutes.
The concentration of A at 0 minutes is 0.200 M, and at 30 minutes it drops to 0.080 mM. To calculate the change in concentration of A, we subtract the initial concentration from the final concentration:
Δ[A] = 0.080 mM - 0.200 M
Similarly, for B, the concentration at 0 minutes is 0.400 M, and at 30 minutes it drops to 0.280 M:
Δ[B] = 0.280 M - 0.400 M
For C, the concentration at 0 minutes is 0.000 M, and at 30 minutes it rises to 0.120 M:
Δ[C] = 0.120 M - 0.000 M
Now we can calculate the rate of the reaction using the formula mentioned earlier:
Rate of reaction = Δ[C] / Δt
Δt in this case is the time difference between the two concentrations, which is 30 minutes - 0 minutes = 30 minutes.
Plugging in the values, we get:
Rate of reaction = (0.120 M - 0.000 M) / (30 minutes)
Simplifying further:
Rate of reaction = 0.120 M / 30 minutes
Calculating this:
Rate of reaction = 0.004 M/minute
Therefore, the rate of this reaction is 0.004 M/minute.