Assume that thermal decomposition of mercuric oxide,
At a particular temperature,
(a)
Interpretation:
The time taken by the given thermal decomposition reaction of mercuric oxide to produce
Concept introduction:
The rate law for first order reaction is represented as,
In the first order kinetics rate of the reaction depends linearly on the concentration of one of the reactant. The integrated rate law for first order reaction is represented as,
Where,
•
•
•
Answer to Problem 20.22E
The time taken by the given thermal decomposition reaction of mercuric oxide to produce
Explanation of Solution
It is given that the thermal decomposition of mercuric oxide follows first order kinetics and the rate constant is
The initial amount of
The number of moles of
Where,
•
•
•
•
•
Substitute the values of pressure, volume, gas constant and temperature in the above formula.
Thus, the number of moles of
The amount of
The molar mass of
Substitute the number of moles and molar mass of
The amount of
The amount of
Thus, the amount of
The rate law for the given first order reaction is given by,
Where,
•
•
•
Substitute the values of initial amount, amount at time
Thus, the time taken by the given thermal decomposition reaction of mercuric oxide to produce
The time taken by the given thermal decomposition reaction of mercuric oxide to produce
(b)
Interpretation:
The time taken by the given thermal decomposition reaction of mercuric oxide to produce
Concept introduction:
The rate law for first order reaction is represented as,
In the first order kinetics, rate of the reaction depends linearly on the concentration of one of the reactant. The integrated rate law for first order reaction is represented as,
Where,
•
•
•
Answer to Problem 20.22E
The time taken by the given thermal decomposition reaction of mercuric oxide to produce
Explanation of Solution
It is given that the thermal decomposition of mercuric oxide follows first order kinetics and the rate constant is
The initial amount of
The number of moles of
Where,
•
•
•
•
•
Substitute the values of pressure, volume, gas constant and temperature in the above formula.
Thus, the number of moles of
The amount of
The molar mass of
Substitute the number of moles and molar mass of
The amount of
The amount of
Thus, the amount of
The rate law for the given first order reaction is given by,
Where,
•
•
•
Substitute the values of initial amount, amount at time
Thus, the time taken by the given thermal decomposition reaction of mercuric oxide to produce
The time taken by the given thermal decomposition reaction of mercuric oxide to produce
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Chapter 20 Solutions
Physical Chemistry
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