Question

solution of - ln(a-x) =kt-lna

Answer 1

Answer :

Given,

- ln (a - x) = kt - ln (a)

⇒ ln (a) - ln (a - x) = kt

⇒ ln { a/(a - x) } = kt

⇒ 2.303 log { a/(a - x) },
since ln (x) = 2.303 log (x)

⇒ log { a/(a - x) } = kt/2.303

⇒ a/(a - x) = e^(kt/2.303)

⇒ a - x = a/{ e^(kt/2.303) }

⇒ x = a - a/{ e^(kt/2.303) }

Hence, the required solution be

x = a - a/{ e^(kt/2.303) }

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