A farm product contains a 12.5% w/v concentrate of tiamulin hydrogen fumarate, used to treat swine dysentery when diluted as a medicated drinking water. How many gallons of medicated water may be prepared from a liter of concentrate if the final product is to contain 227 mg of tiamulin hydrogen fumarate per gallon?

Answer:550.66 gallonsStep-by-step explanation:Given:Farm product contains 12.5% w/v concentrate of tiamulin hydrogen fumaratei.e100 mL of solution of farm product contains 12.5 g of tiamulin hydrogen fumarateThus, by unitary method1 mL of  solution contains [tex]\frac{\textup{12.5 g}}{\textup{100}}[/tex]  of tiamulin hydrogen fumaratetherefore,1 L i.e 1000 mL of solution contains [tex]\frac{\textup{12.5 g}}{\textup{100}}\times1000[/tex]  of tiamulin hydrogen fumarateor1 L i.e 1000 mL of solution contains 125 g of tiamulin hydrogen fumaratalso, final product contains 227 mg of tiamulin hydrogen fumarate per gallontherefore,The number of gallons of medicated water that can be prepared = [tex]\frac{\textup{weight of concentrate in a litre}}{\textup{ tiamulin hydrogen fumarate per gallon}}[/tex] = [tex]\frac{\textup{125 g}}{\textup{227 mg/gallon}}[/tex] =  [tex]\frac{\textup{125}\times1000\textup{mg}}{\textup{227 mg/gallon}}[/tex]=  550.66 gallons