A tank initially contains 100 litres of water in which 10 kg of a salt is...

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A tank initially contains 100 litres of water in which 10 kg of a salt is dissolved. A solution containing 0.5 kg of salt per litre is poured into the tank at a rate of 1 litre per minute. The mixture in the tank is stirred and drained off at the rate of 2 litres per minute. Let Q(t) denote the amount of the salt in the tank at 5. time t. 0.5 kg/litre, 1 litre/min 100 litres 10 kg salt 2 litres/min (i) What is the amount of salt Q(t) in the tank at time t? (ii) At what time is the amount of salt maximal? A tank initially contains 100 litres of water in which 10 kg of a salt is dissolved. A solution containing 0.5 kg of salt per litre is poured into the tank at a rate of 1 litre per minute. The mixture in the tank is stirred and drained off at the rate of 2 litres per minute. Let Q(t) denote the amount of the salt in the tank at 5. time t. 0.5 kg/litre, 1 litre/min 100 litres 10 kg salt 2 litres/min (i) What is the amount of salt Q(t) in the tank at time t? (ii) At what time is the amount of salt maximal?