We appreciate your visit to Please show all work and keep your handwriting clean Thank you 151 A tank contains 1 kilogram of salt dissolved in 100 liters of water. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
The concentration of salt in the tank will stabilize at 0.1 kg/L.
Let's consider the amount of salt in the tank at any given time t. Initially, there is 1 kilogram of salt dissolved in 100 liters of water, resulting in a concentration of 1 kg/100 L = 0.01 kg/L.
As the salt solution is pumped into the tank at a rate of 2 L/min and drained at the same rate, the volume of the tank remains constant. The total amount of salt in the tank can be calculated using the equation:
Amount of salt = Initial amount of salt + (Rate of influx - Rate of outflux) * Time
At equilibrium, the rate of influx and outflux is equal, resulting in a constant amount of salt in the tank. Therefore, the equilibrium concentration of salt can be determined by dividing the total amount of salt by the volume of the tank.
In this case, the total amount of salt remains constant at 1 kilogram, while the volume of the tank is 100 liters. Thus, the equilibrium concentration of salt is:
Concentration = Amount of salt / Volume of tank
= 1 kg / 100 L = 0.01 kg/L
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