A bottle contains 100% phenyl. 13 of it is replaced with water

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Question

A bottle contains

100 %

phenyl.

\frac{1}{3}

of it is replaced with water. The operation is repeated 4 times. What is the ratio of phenyl: water after the last operation?

Options:

A . 16:81

B . 1:5

C . 14:82

D . None of these

Answer: Option D
:
D
Option (d)

\frac{L i q u i d A l e f t t a k e n n^{t h} o p e r a t i o n}{I n i t i a l q u a n t i t y o f A i n t h e v e s s e l} = \frac{(a - b)^{n}}{a^{n}}

Amount of phenyl remaining

= {(1 - \frac{1}{3})}^{4} = \frac{16}{81}

Therefore, ratio or phenyl:water = 16:65. (81-16=65)

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