For the simple decomposition reaction How long will it

Chapter 16, Problem 31P

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QUESTION:

For the simple decomposition reaction

\(\mathrm{AB}(g) \longrightarrow \mathrm{A}(g)+\mathrm{B}(g)\)

\(\text { rate }=k[\mathrm{AB}]^{2}\) and \(k=0.2 \mathrm{~L} / \mathrm{mol} \cdot \mathrm{s}\). How long will it take for [AB] to reach \(\frac{1}{3}\) of its initial concentration of \(1.50 M\)?

Equation Transcription:

rate = π‘˜[AB]2

π‘˜ = 0.2 L/mols

1.50 M

Text Transcription:

AB(g) rightarrow A(g)+B(g)

rate = π‘˜[AB]^2

π‘˜ = 0.2 L/mols

1/3

1.50 M

Questions & Answers

QUESTION:

For the simple decomposition reaction

\(\mathrm{AB}(g) \longrightarrow \mathrm{A}(g)+\mathrm{B}(g)\)

\(\text { rate }=k[\mathrm{AB}]^{2}\) and \(k=0.2 \mathrm{~L} / \mathrm{mol} \cdot \mathrm{s}\). How long will it take for [AB] to reach \(\frac{1}{3}\) of its initial concentration of \(1.50 M\)?

Equation Transcription:

rate = π‘˜[AB]2

π‘˜ = 0.2 L/mols

1.50 M

Text Transcription:

AB(g) rightarrow A(g)+B(g)

rate = π‘˜[AB]^2

π‘˜ = 0.2 L/mols

1/3

1.50 M

ANSWER:

Solution 31P

Here we have to calculate the time β€˜t’ required for [AB] to reach one-third of its initial concentration of 1.50 M .

Step 1

A simple decomposition reaction is given below,

AB (g) β†’ A (g) + B (g)

Rate = k [AB]2Β and k = 0.2 L/mol.sΒ 

From the given rate law, it has been

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