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Sagot :
A decomposition reaction is the breakdown of reactants into two or more products. The concentration of dinitrogen pentoxide after 4 minutes will be 1.63 moles.
What is the first-order rate constant?
The first-order rate constant (k) is the order of the reaction that is the initial rate and is given as 1/s.
The first order is shown as:
[tex]\rm [ln] A = \rm ln [A]_{o} - kt[/tex]
Given,
Initial concentration = 0.013 M
k = [tex]6.82 \times 10^{-3}\;\rm s^{-1}[/tex]
t = 240 seconds
Substituting values above:
[tex]\begin{aligned} \rm [ln] A &= \rm ln[0.013] - 9 6.82\times 10^{-3} \times 240)\\\\[A] &= \rm e^{ln[0.013]} - (6.82 \times 10^{-3} s^{-1} \times 240 s)\\\\& = 1.6238\end{aligned}[/tex]
Therefore, 1.63 moles will remain after 4 minutes.
Learn more about the first-order reaction here:
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