In: Math
The cleaning process of a certain industrial tank
consists of 2 phases:
• Phase 1: It begins by placing 2,000 L of water in the tank
together with 100 kg of a certain chemical cleaner (soluble in
water).
• Phase 2: 40 L / min of water containing 2 kg of the cleaner per
liter are poured into the tank. At the same time, the well mixed
solution is pumped out of the tank at a rate of 45 L / min.
a) Find the quantity Q of the cleaner at any instant of time.
b) How many kilograms of the cleaner are present in the tank after
50 minutes?
c) If the cleaning process ends when the chemical cleaner is
completely removed from the tank, how long does that process
take?