Question

A tank, containing 800 liters of liquid, has a brine solution entering at a constant rate of 5 liters per minute. The well-stirred solution leaves the tank at the same rate. The concentration within the tank is monitored and found to be $c(t) = \frac{e^{-\frac{t}{500}}}{50} kg/L$. Determine the amount of salt initially present within the tank. Initial amount of salt = 16 kg Determine the inflow concentration $c_{in}(t)$, where $c_{in}(t)$ denotes the concentration of salt in the brine solution flowing into the tank. $c_{in}(t) = \text{_____} kg/L$

          A tank, containing 800 liters of liquid, has a brine solution entering at a constant rate of 5 liters per minute. The well-stirred solution leaves the tank at the same rate. The concentration within the tank is monitored and found to be
$c(t) = \frac{e^{-\frac{t}{500}}}{50} kg/L$.
Determine the amount of salt initially present within the tank.
Initial amount of salt = 16 kg
Determine the inflow concentration $c_{in}(t)$, where $c_{in}(t)$ denotes the concentration of salt in the brine solution flowing into the tank.
$c_{in}(t) = \text{_____} kg/L$

a tank containing 800 liters of liquid has a brine solution entering at a constant rate of 5 liters per minute the well stirred solution leaves the tank at the same rate the concentration wi 07076

Added by Christy V.

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