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Concentration and time data are for a reaction. A plot of concentration of the r

ID: 487032 • Letter: C

Question

Concentration and time data are for a reaction. A plot of concentration of the reactant versus time is found to be linear with a slope equal to -2.15 M middot s^-1 and a y-intercept of 0.500 M. What is the order of the reaction being studied and what is the rate constant of the reaction? The decomposition of cyclobutane (C_4H_8) is a first-order process described by the equation: ln[C_4H_8] = In[C_4H_8]_0 - (0.015 s^-1) t What will be the concentration of cyclobutane after 2.0 minutes of reaction if the initial concentration is 2.00 M? A decomposition reaction that follows second-order kinetics is found to have constant of 0.025 M^-1 S^-1. What is the half-life of this reaction if reactant concentration is 0.40 M?

Explanation / Answer

1. As the concentration vs Time graph is linear , the reaction is a zero order reaction.

Slope = -k = -2.15 M/s

rate constant = k = 2.15 M/s

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2.

ln[C4H8] = ln (2) - 0.015 S^-1 * (2*60) sec

[C4H8] = 0.33 M

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3. half life = 1/k[A] 0 = 1/0.025 * 0.4 = 100 s

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