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Sagot :
Answer: It will take 6 years for 7500 grams of X to reach 6900 grams.
Step-by-step explanation:
Expression for rate law for first order kinetics is given by:
[tex]t=\frac{2.303}{k}\log\frac{a}{a-x}[/tex]
where,
k = rate constant Â
t = age of sample
a = let initial amount of the reactant Â
a - x = amount left after decay process Â
a) for completion of half life: Â
Half life is the amount of time taken by a radioactive material to decay to half of its original value.
[tex]51=\frac{0.69}{k}[/tex]
[tex]k=\frac{0.69}{51}=0.0135years^{-1}[/tex]
b) for  7500 g to reach to 6900 g
[tex]t=\frac{2.303}{0.0135}\log\frac{7500}{6900}[/tex]
[tex]t=6years[/tex]
It will take 6 years for 7500 grams of X to reach 6900 grams.
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