Muri is a shopkeeper that specializes in pickled vegetables. She has determined

Question

Muri is a shopkeeper that specializes in pickled vegetables. She has determined over the years that the best brine (salt solution) for pickling vegetables is 2 kg of salt per liter of water (2 kg/L). One day, she has her not-so-bright nephew helping her and he uses too much salt, resulting in a 5 kg/L solution. If her nephew made up 10 liters of the too-salty solution, how much pure water must he add to it to get the ideal 2 kg/L solution? use formula c1v1 + c2v2=c3(v1+v2) please follow units so i can see how you got the ansswer

Explanation / Answer

let

y L of pure is added

now

initial volume = 10 L

volume added = y L

so

final volume = 10 + y

required final concentration = 2 kg / L

now

in this dilution process

amount of salt remains same

so

Ci x Vi = Cf x Vf

given

Ci = 5

Vi = 10

Cf = 2

Vf = 10 + y

so

5 x 10 = 2 x ( 10 + y)

25 = 10 + y

y = 15

so

15 L of pure water should be added

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