What is the rate constant for this reaction? b) If the volume of the reaction container is decreased by a factor of 2 (the volume is cut in half), will the reaction rate be faster or slower? By what factor will the rate of the reaction change?

Chemistry: Matter and Change
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Author:Dinah Zike, Laurel Dingrando, Nicholas Hainen, Cheryl Wistrom
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Chapter16: Reaction Rates
Section16.3: Reaction Rate Laws
Problem 27SSC
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a) What is the rate constant for this reaction?

b) If the volume of the reaction container is decreased by a factor of 2 (the volume is cut in half), will the reaction rate be faster or slower? By what factor will the rate of the reaction change?

Expert Solution
Step 1

As, in experiment 1 and 2,

Concentration of BF3 is constant and when ammonia concentration is halved then initial rate is also halved means

Rate = k [NH3]

In experiment 4 and 5, keeping ammonia concentration constant then,

Concentration of BF3 is doubled in experiment 4 from 5, similarly rate gets doubles in experiment 4 than 5

Hence, rate = k [BF3]

This reaction is first order reaction with both reactant ammonia and BF3

Final rate = k [NH3][BF3]

Rate constant = k

Step 2
  • Rate = k [NH3][BF3] …(1)

 

Hence, substituting the values in equation 1.

Rate = 0.2130, [NH3] = 0.25 M, [BF3] = 0.25 M

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