The rate at which a solid substance dissolves [dQ/dt] varies directly as the product of undissolved solid present (in the solvent) [A - Q] and as the difference between the saturation concentration [Cs] and the instantaneous concentration [Ci] of the substance. Let Q - the amount of the substance dissolved at any time t, Let A - the total amount of the substance, then dQ/dt = (A - Q)(Cs - Ci) Twenty pounds of salt is dumped into the tank containing 120 lb of solvent, and at the end of 22 minutes, the concentration is observed to be 1 part solute to 30 parts of solvent. Find the amount of solute that is in the solution at any time t, assuming that the saturation concentration is 1 part solute to 3 parts solvent.
The rate at which a solid substance dissolves [dQ/dt] varies directly as the product of undissolved solid present (in the solvent) [A - Q] and as the difference between the saturation concentration [Cs] and the instantaneous concentration [Ci] of the substance.
Let Q - the amount of the substance dissolved at any time t,
Let A - the total amount of the substance, then
dQ/dt = (A - Q)(Cs - Ci)
Twenty pounds of salt is dumped into the tank containing 120 lb of solvent, and at the end of 22 minutes, the concentration is observed to be 1 part solute to 30 parts of solvent. Find the amount of solute that is in the solution at any time t, assuming that the saturation concentration is 1 part solute to 3 parts solvent. Answer is shown below.
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