how do i solve the following problem?
Nitrogen dioxide decomposes to nitric oxide and oxygen via the reaction:
2NO2 → 2NO + O2
In a particular experiment at 300°C, [NO2] drops from 0.0100 to 0.00650 M in 100 s. The rate of
Disappearance of NO2 for this period is __________ M/s.
answered above.
0.00007
To solve this problem, you need to calculate the rate of disappearance of NO2. The rate of a chemical reaction is determined by the change in concentration of a reactant divided by the time taken for that change to occur. In this case, you have the initial concentration ([NO2]₀), the final concentration ([NO2]f), and the time interval (t).
The rate equation for the given reaction is:
rate = -Δ[NO2] / Δt
Substituting the values, you have:
rate = ([NO2]f - [NO2]₀) / t
Let's calculate it step by step:
1. Substitute the given values:
[NO2]₀ = 0.0100 M (initial concentration of NO2)
[NO2]f = 0.00650 M (final concentration of NO2)
t = 100 s (time interval)
2. Calculate the change in concentration of NO2:
Δ[NO2] = [NO2]f - [NO2]₀
= 0.00650 M - 0.0100 M
= -0.00350 M (Note: The negative sign indicates the disappearance of NO2)
3. Calculate the rate:
rate = Δ[NO2] / Δt
= -0.00350 M / 100 s
4. Simplify the rate:
rate = -0.000035 M/s (Note: The negative sign indicates the disappearance of NO2)
Therefore, the rate of disappearance of NO2 for this period is -0.000035 M/s.