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The half-life of the substance is 3.106 years.
<h3>What is the formula for exponential decay?</h3>- The exponential decline, which is a rapid reduction over time, can be calculated with the use of the exponential decay formula.
- The exponential decay formula is used to determine population decay, half-life, radioactivity decay, and other phenomena.
- The general form is F(x) = a.
Here,
a = the initial amount of substance
1-r is the decay rate
x = time span
The equation is given in its correct form as follows:
a = ×
As this is an exponential decay of a first order reaction, t is an exponent of 0.8.
Now let's figure out the half life. Since the amount left is half of the initial amount at time t, that is when:
a = 0.5 a0
<h3>Substituting this into the equation:</h3>0.5 =
×
0.5 =
taking log on both sides
t log 0.8 = log 0.5
t = log 0.5/log 0.8
t = 3.106 years
The half-life of the substance is 3.106 years.
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Hydrolysis of Methyl Benzoate yields Benzoic Acid and Methanol. This reaction is also called as Tranesterification (reverse of esterification). Acid in this reaction protonates the carbonyl oxygen, resulting in increasing electrophillic character of carbonyl carbon. Water acts as a nucleophile and methoxide leaves as a good leaving group. Mechanism is shown below,
