Anne brought a 1 L bottle of vinegar from home to use in an experiment on volcanoes in science class. she poured the contents of
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The half-life of a compound is 76 years for 42% of a given sample of the compound decomposes in 60 minutes.
<h3>What is the expression for rate law for first order kinetics?</h3>The rate law for first order kinetics is
k =
Where
k - rate constant
t - time passed by the sample
a - initial amount of the reactant
a-x - amount left after the decay process
<h3>What is expression for half-life of the compound?</h3>The expression for the half-life of the compound is
Where k is the rate constant
<h3>Calculation for the given compound:</h3>It is given that
t = 60 minutes
a = 100 g
a-x = 100 g - 42 g = 58 g
(Since it is given that 42% of the given compound decomposes)
Then,
k =
= 9.08 ×
Then, the half-life of the compound is
=
= 76.3 years ≅ 76 years
Therefore, the half-life of the given compound is 76 years.
Learn more about rate law for first order kinetics here:
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