The gas phase decomposition of phosphine at 120 °C PH3(g) 1/4 P4(g) + 3/2 H2(g) is first order in PH3 with a rate constant of 1. 80×10-2 s-1. If the initial concentration of PH3 is 3.16×10-2 M, the concentration of PH3 will be M after 99 s have passed
2 answers:
Answer:
5.32*10⁻³M
Explanation:
Given:
Rate constant of the First order reaction, k = 1.80*10-2 s-1
Initial concentration of PH3, [A]₀ = 3.16*10-2 M
Reaction time, t = 99 s
Formula:
For a first order reaction:
where [A] and [A]₀ are concentration of reactant at time t and t = 0
k = rate constant
For the given reaction"
<span>Answer: 5.32 x 10⁻³ M Explanation: 1) The rate law for a first order reaction is: </span><span /> <span>r = - d [A] / dt = k[A] </span><span /> <span>2) When you integrate you get: </span><span /> <span> [ A] = Ao x e ^(-kt) </span><span /> Remember that here A is PH₃ <span>3) Plug in the data: Ao = 0.0316M, k = 0.0180 /s, and t = 99s </span><span /> <span>[PH₃] = 0.0316 M x e ^( - 0.0180/s x 99s) = 5.32 x 10⁻³ M </span>
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