If the rate constant of first order reaction is 15 * 10^-3 per sec. how long will 5.0 g of this reactant take to reduce to 3.0 g
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Therefore time taken to reduce the reactant from 5g to 3g is 78.429 sec .
Given : the rate constant of first order reaction is 15 * 10^-3 per sec.
To find : The time taken to reduce 5g of the reactant to 3g.
solution : using formula of first order reaction,
t = 2.303/k log[a/(a - x)]
where k is rate constant,
a is initial amount of substance
(a - x) final amount of substance.
here, k = 15 × 10¯³ /sec , a = 5g and (a - x) = 3g
so, t = 2.303/(15 × 10¯³) log[5/3]
= (2303/15) log(5/3)
= 78.429 sec
Therefore time taken to reduce the reactant from 5g to 3g is 78.429 sec.
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