Chemistry
Chemistry
10th Edition
ISBN: 9781305957404
Author: Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher: Cengage Learning
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A certain reaction is known to have an activation energy \( E_a = 9.0 \, \text{kJ/mol} \). Furthermore, the rate of this reaction is measured at 370. K and found to be \( 5.4 \times 10^7 \, M/s \). Use this information to answer the questions in the table below.

- Suppose the concentrations of all reactants is kept the same, but the temperature is lowered by 10% from 370. K to 333. K.

  How will the rate of the reaction change?
  
  The rate will [choose one]

- Suppose the concentrations of all reactants is kept the same, but the catalyst is added, which has the effect of lowering the activation energy by 10%, from 9.0 kJ/mol to 8.10 kJ/mol.

  How will the rate of the reaction change?
  
  The rate will [choose one]

[There are dropdown menus beside each question for selecting an answer.]
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Transcribed Image Text:A certain reaction is known to have an activation energy \( E_a = 9.0 \, \text{kJ/mol} \). Furthermore, the rate of this reaction is measured at 370. K and found to be \( 5.4 \times 10^7 \, M/s \). Use this information to answer the questions in the table below. - Suppose the concentrations of all reactants is kept the same, but the temperature is lowered by 10% from 370. K to 333. K. How will the rate of the reaction change? The rate will [choose one] - Suppose the concentrations of all reactants is kept the same, but the catalyst is added, which has the effect of lowering the activation energy by 10%, from 9.0 kJ/mol to 8.10 kJ/mol. How will the rate of the reaction change? The rate will [choose one] [There are dropdown menus beside each question for selecting an answer.]
Expert Solution
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Step 1: Arrhenius equation

Answer:

These problems will be solved by using below shown forms of Arrhenius equation.

When activation energy remains the same but temperature changes then:

ln straight k subscript 2 over straight k subscript 1 equals straight E subscript straight a over straight R open parentheses 1 over straight T subscript 1 minus 1 over straight T subscript 2 close parentheses space space space space space..... equation left parenthesis 1 right parenthesis

When temperature remains the same but activation energy changes then:

ln straight k subscript 2 over straight k subscript 1 equals 1 over RT left parenthesis straight E subscript straight a subscript 1 end subscript minus straight E subscript straight a subscript 2 end subscript right parenthesis space space space.... equation left parenthesis 2 right parenthesis

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