Answered

1. One of the uses of methanol, CH3OH (also known as methyl alcohol, wood alcohol and
methyl hydrate), in diluted form is windshield washer antifreeze. In pure form methanol has
a molar concentration of 24.7 mol/L. Using a table from the CRC Handbook of Chemistry
and Physics, a student prepared 8.0 L of 10.0 mol/L aqueous methanol as windshield washer
-30°C. What volume of methanol was necessary to prepare the
antifreeze good for
antifreeze solution?

Answer :

Eduard22sly

The volume of methanol necessary to prepare the antifreeze good for antifreeze solution is 3.2 L

Dilution formula

M₁V₁ = M₂V₂

Where

  • M₁ is the molarity of stock solution
  • V₁ is the volume of stock solution
  • M₂ is the molarity of diluted solution
  • V₂ is the volume of diluted solution

Data obtained from the question

  • Molarity of stock solution (M₁) = 24.7 mol/L
  • Volume of diluted solution (V₂) = 8 L
  • Molarity of diluted solution (M₂) = 10 mol/L
  • Volume of stock solution needed (V₁) = ?

How to determine the volume needed

The volume of the methanol necessary to prepare the solution can be obtained as illustrated below:

M₁V₁ = M₂V₂

24.7 × V₁ = 10 × 8

24.7 × V₁= 80

Divide both side by 24.7

V₁ = 80 / 24.7

V₁ = 3.2 L

Thus, the volume of methanol necessary to prepare the antifreeze good for antifreeze solution is 3.2 L

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