The decomposition of nitrogen dioxide is a second-order reaction. At 550 K, a 0.250 M sample decomposes at the rate of 1.17 mol/L
min.
(a) Write the rate expression.
(b) What is the rate constant at 550 K?
(c) What is the rate of decomposition when
(a)
Interpretation:
To write the expression of rate from the given statement of a chemical 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 19QAP
Expression of rate is:
Explanation of Solution
Nitrogen dioxide decomposes into nitrogen and oxygen gas as:
Since the order of reaction with respect to NO2 is second. Thus, rate law equation will look like:
(b)
Interpretation:
To determine the value of rate constant at 550 K.
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 19QAP
Rate constant for given reaction,
Explanation of Solution
Nitrogen dioxide decomposes into nitrogen and oxygen gas as:
Since the order of reaction with respect to NO2 is second. Thus, rate law equation will look like:
Here we have:
Rate = 1.17 mol/L.min
[NO2 ] = 0.250 M
Plugging value of rate of reaction in equation 1 to get the value of rate constant as:
(c)
Interpretation:
To determine the value of rate of reaction when concentration of nitrogen dioxide is 0.800 M.
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 19QAP
Rate for given reaction when concentration of nitrogen dioxide is 0.800 M =11.981 M/min.
Explanation of Solution
Nitrogen dioxide decomposes into nitrogen and oxygen gas as:
Since the order of reaction with respect to NO2 is second. Thus, rate law equation will look like:
Here we have:
Rate constant= 18.72 L/mol.min
[NO2 ] = 0.800 M
Plugging value of rate of reaction in equation 1 to get the value of rate constant as:
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Chapter 11 Solutions
EBK CHEMISTRY: PRINCIPLES AND REACTIONS
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