Calculate the initial molarity of MCHM in the river, assuming that the first part of the river is 7.60 feet deep, 100.0 yards wi

Answer:

[MCHM] = 7.52 M

Explanation:

This involves converting units.

1 foot = 0.3048 meters

1 yard = 0.9144 meters

7.60 feet multiplied by 0.3048 equals 2.31 meters in depth

100 yards multiplied by 0.9144 meters equals 91.44 meters in length and width

Calculating the volume of the river:

2.31 m multiplied by 91.44m multiplied by 91.44m equals 19314.5 m³

1 dm³ is equivalent to 1 L

1 dm³ corresponds to 0.001 m³

19314.5 m³ divided by 0.001 m³ gives us 19314542 L (the total volume of the river)

Since there are 3.785 L in a gallon,

we have 19314542 L yielding (19314542 / 3.785) = 5102917 gallons

1 gallon is 128 ounces

So, 5102917 gallons multiplied by 128 results in 653173376 ounces

1 ounce equals 28.3495 grams

Thus, 653173376 ounces multiplied by 28.495 results in 1.86x10¹⁰ grams

The molar mass of MCHM is 128 g/mol

The moles of MCHM can be calculated as: 1.86x10¹⁰ grams / 128 g/mol = 145312500 moles

The molarity is calculated as mol/L → 145312500 moles / 19314542 L = 7.52 M