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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?

Respuesta :

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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