(a)
Interpretation:
For the given first order reaction, the half-life period and the total pressure of
Concept introduction:
The
The raise in molar concentration of product of a reaction per unit time or decrease in molarity of reactant per unit time is called rate of reaction and is expressed in units of
Integrated rate law for first order reaction:
Consider A as substance, that gives the product based on the equation,
Where a= stoichiometric co-efficient of reactant A.
Consider the reaction has first-order rate law,
The integrated rate law equation can be given as,
The above expression is called integrated rate law for first order reaction.
Half-life period:
Half-life is defined as the time taken for amount of the sample to reduce to half of its starting value. The symbol is
Half-life for a first order reaction is,
(a)
Explanation of Solution
Given first-order decomposition reaction is,
Half-life for a first order reaction is,
Given value is substituted for above equation,
Therefore, the half-life of
(b)
Interpretation:
For the given first order reaction, the total pressure of
Concept introduction:
Ideal gas Equation:
Any gas is described by using four terms namely pressure, volume, temperature and the amount of gas. Thus combining three laws namely Boyle’s, Charles’s Law and Avogadro’s Hypothesis the following equation could be obtained. It is referred as ideal gas equation.
Where,
Integrated rate law for first order reaction:
Consider A as substance, that gives the product based on the equation,
Where a= stoichiometric co-efficient of reactant A.
Consider the reaction has first-order rate law,
The integrated rate law equation can be given as,
The above expression is called integrated rate law for first order reaction.
(b)
Explanation of Solution
For a first order reaction
The pressure is directly proportional to the number of moles
After 10 s, the pressure due to
Next we calculate the final pressure,
Therefore, the final pressure is,
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