Question

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 1

Answer:

550.66 gallons

Step-by-step explanation:

Given:

Farm product contains 12.5% w/v concentrate of tiamulin hydrogen fumarate

i.e

100 mL of solution of farm product contains 12.5 g of tiamulin hydrogen fumarate

Thus,

by unitary method

1 mL of  solution contains $\frac{\textup{12.5 g}}{\textup{100}}$  of tiamulin hydrogen fumarate

therefore,

1 L i.e 1000 mL of solution contains $\frac{\textup{12.5 g}}{\textup{100}}\times1000$  of tiamulin hydrogen fumarate

or

1 L i.e 1000 mL of solution contains 125 g of tiamulin hydrogen fumarat

also, final product contains 227 mg of tiamulin hydrogen fumarate per gallon

therefore,

The number of gallons of medicated water that can be prepared

= $\frac{\textup{weight of concentrate in a litre}}{\textup{ tiamulin hydrogen fumarate per gallon}}$

= $\frac{\textup{125 g}}{\textup{227 mg/gallon}}$

=  $\frac{\textup{125}\times1000\textup{mg}}{\textup{227 mg/gallon}}$

=  550.66 gallons