A first order reaction has a rate constant 1.15 x 10−3 s−1. How long will 5 g of this reactant take to reduce to 3 g?

Answer

Given that
Initial quantity, [R]^o= 5 g
Final quantity, [R] = 3 g
Rate constant, k = 1.15 x 10⁻³ s⁻¹
Formula of 1^st order reaction,

Plug the values we get

Value of log 5/3 = log 5 – log 3 = 0.2219
We get

After calculation we get
444 sec
Hence, it will take 444 sec to reduce 5 g of this reactant to 3 g

Do you know any other method of solving this problem ?
A first order reaction has a rate constant 1.15 x 10⁻³ s⁻¹. How long will 5 g of this reactant take to reduce to 3 g?
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