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Diethylhydrazine reacts with iodine according to the following equation:
Â
(a) What is the order of the reaction with respect to diethylhydrazine, iodine, and overall?
(b) Write the rate expression of the reaction.
(c) Calculate k for the reaction.
(d) What must [(C2H5)2] be so that the rate of the reaction is

(a)
Interpretation:
To determine the order of reaction with respect to (C2 H5 )2 (NH)2, I2 and overall for the following reaction:
Concept introduction:
Rate of a chemical reaction: It tells us about the speed at which the reactants are converted into products.
Mathematically, rate of reaction is directly proportional to the product of concentration of each reactant raised to the power equal to their respective stoichiometric coefficients.
Let’s say we have a reaction:
Answer to Problem 28QAP
Order of given reaction:
With respect to (C2 H5 )2 (NH)2 =1
With respect to I2 =1
Overall =2.
Explanation of Solution
Given information:
Here the chemical reaction is:
Let’s assume the reaction to be ‘t’ order with respect to (C2 H5 )2 (NH)2 and ‘y’ order with respect to I2.
Then, rate law for experiment 1, 2, 3 and 4 in above reaction will be;
Dividing (1) by (2) to get value of ‘y’.
Thus, order with respect to I2 is 1
Dividing (3) by (4) to get value of ‘t’.
Thus, order with respect to (C2 H5 )2 (NH)2 is 1.
And the order of reaction will be:
Thus, overall order of reaction is 2.

(b)
Interpretation:
To write the rate expression for the given reaction.
Concept introduction:
Rate of a chemical reaction: It tells us about the speed at which the reactants are converted into products.
Mathematically, rate of reaction is directly proportional to the product of concentration of each reactant raised to the power equal to their respective stoichiometric coefficients.
Let’s say we have a reaction:
Answer to Problem 28QAP
Rate law expression for above reaction will be;
Explanation of Solution
Here the chemical reaction is:
Order of reaction with respect to (C2 H5 )2 (NH)2 = 1
Order of reaction with respect to I2 = 1
Let the rate constant be ‘k’.
Then, rate law expression for above reaction will be;

(c)
Interpretation:
To determine the rate constant and its unit for the given reaction.
Concept introduction:
Rate of a chemical reaction: It tells us about the speed at which the reactants are converted into products.
Mathematically, rate of reaction is directly proportional to the product of concentration of each reactant raised to the power equal to their respective stoichiometric coefficients.
Let’s say we have a reaction:
Answer to Problem 28QAP
Rate constant is
Explanation of Solution
Here the chemical reaction is:
Writing rate law for experiment 1 in above reaction will be;
Hence, the rate constant is

(d)
Interpretation:
To determine the concentration of (C2 H5 )2 (NH)2.
Concept introduction:
Rate of a chemical reaction: It tells us about the speed at which the reactants are converted into products.
Mathematically, rate of reaction is directly proportional to the product of concentration of each reactant raised to the power equal to their respective stoichiometric coefficients.
Let’s say we have a reaction:
Answer to Problem 28QAP
Concentration of (C2 H5 )2 (NH)2 is 0.347 mol/L
Explanation of Solution
Here the chemical reaction is:
Rate law expression for above reaction:
Here we have:
[(C2 H5 )2 (NH)2 ]= let it ‘y’ M
[I2 ] = 0.500 M
Rate constant =
Rate of reaction = 5.00×10-4 mol/L.h
Plugging values in rate law as:
Hence, the concentration of (C2 H5 )2 (NH)2 is 0.347 mol/L
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OWLv2 with Student Solutions Manual eBook for Masterton/Hurley's Chemistry: Principles and Reactions, 8th Edition, [Instant Access], 4 terms (24 months)
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