Chlorine is used to disinfect swimming pools. the accepted concentration for this purpose is 1.00 ppm chlorine, or 1.00 g of chlorine per million grams of water. calculate the volume of a chlorine solution (in milliliters) a homeowner should add to her swimming pool if the solution contains 5.50 percent chlorine by mass and there are 6.52 × 104 gallons (gal) of water in the pool (1 gal = 3.79 l; density of liquids = 1.00 g/ml). enter your answer in scientific notation.

The volume of a chlorine solution a homeowner should add to her swimming pool is .

Explanation:

The solution contains 5.50 percent chlorine by mass.

Mass of the chlorine required to added in the pool= x

Mass of the water in the pool = y

Volume of the water ,V=

(1 gal = 3.78 L)

V =

( 1 L = 1000 mL)

Density of the water ,d= 1.00 g/mL

y =

1.00 g of chlorine per million grams of water .

Then for   of water, we required x amount of chlorine:

x = 246.4 grams of chlorine

Mass of the chlorine solution = M'

Density of the chlorine solution = D = 1 g/mL

Volume of the chlorine solution to be added in the pool : v

The volume of a chlorine solution a homeowner should add to her swimming pool is .