$5.$ If the distribution coefficient of a solute between an organic solvent and water is $10,$ and the initial amount of solute in water is $50$ grams, how much solute ends up in the organic solvent?

$6.$ In a batch extraction process, the solvent can hold up to $60$ grams of solute per liter. If $300$ mL of solvent is used, what is the maximum amount of solute that can be dissolved?

$7.$ For a continuous contact extraction operation that runs for $3$ hours with a solvent flow rate of $150$ mL$/$min$,$ what is the total volume of solvent used?

$8.$ A ternary mixture consists of $25\%$ component A$,25\%$ component B$,$ and the rest component C$.$ What is the percentage of component C in the mixture?