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Hi Janet,

A storage tank contains a brine composed of 2.5% sodium chloride. One kilogram of sodium chloride is added, resulting in a 3% concentration. Calculate original brine amount.

Thanks for your assistance and time.

mass of solution = x

original amount of sodium chloride = 2.5% of x = 0.025x

After adding 1 kg of sodium chloride:

amount of sodium chloride = 0.025x + 1

mass of solution = x + 1

final concentration = (0.025x + 1)/(x + 1) = 0.03

0.025x + 1 = 0.03(x + 1)

0.025x + 1 = 0.03x + 0.03

0.97 = 0.005x

x = 194

original brine amount = 0.025·194 = 4.85 kg

Check:

4.85/194 = 2.5%

(4.85+1)/(194+1) = 3%

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