City water, which is slightly chlorinated, is being used to flush a tank of heavily chlorinated water. The concentration C = C(t) of the chlorine in the tank t hours after flushing begins is given by the following formula. C = 0.2 + 2.79e-0.39t milligrams per gallon (a) What is the initial concentration of chlorine in the tank? mg/gal (b) Express the concentration of chlorine in the tank after 4 hours using functional notation. C( ) Calculate the concentration of chlorine in the tank after 4 hours. (Round your answer to two decimal places.) mg/gal

Vorbeckenuc

Vorbeckenuc

Answered question

2022-07-28

City water, which is slightly chlorinated, is being used to flush a tank of heavily chlorinated water. The concentration C = C(t) of the chlorine in the tank t hours after flushing begins is given by the following formula. C = 0.2 + 2.79e-0.39t milligrams per gallon
(a) What is the initial concentration of chlorine in the tank? mg/gal
(b) Express the concentration of chlorine in the tank after 4 hours using functional notation.
(c) Calculate the concentration of chlorine in the tank after 4 hours.
(Round your answer to two decimal places.) mg/gal

Answer & Explanation

Mireya Hoffman

Mireya Hoffman

Beginner2022-07-29Added 14 answers

C ( t ) = 0.2 + 2.79 e 0.39 t a put t =0 for initial concentration C ( 0 ) = 0.2 + 2.79 e 0.39 × 0 C ( 0 ) = 0.2 + 2.79 C ( 0 ) = 2.99 b C ( 4 ) = 0.2 + 2.79 e 0.39 × 4 c concentration of chlorine in the tank after 4 hours C ( 4 ) = 0.2 + 2.79 e 0.39 × 4 C ( 4 ) = 0.2 + 2.79 × 0.21 C ( 4 ) = 0.79

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