Question

A tank contains 3,000 L of brine with 16 kg of dissolved salt. Pure water enters the tank at a rate of 30 L/min. The solution is kept thoroughly mixed and drains from the tank at the same rate. (a) How much salt is in the tank after t minutes? y = kg (b) How much salt is in the tank after 30 minutes? (Round your answer to one decimal place.) y = kg

Answer 1

Answer:

Amount of Salt remaining after 30min = 11.2kg of salt

Step-by-step explanation:

Amount of salt contained in 30L of brine being drained is determined

Hence using direct proportion

3000L of brine contains 16kg of salt

30L of brine will contain = X

X = (30 x 16) ÷ 3000 = 0.16kg

Hence for every 30L/min drain rate, 0.16kg of salt is removed

After 30min, amount of salt taken out = 0.16 x 30 = 4.8 kg of salt

Amount of Salt remaining after 30min = 16 - 4.8 = 11.2kg of salt