A common recipe is to make 3% (w/vol) HCI in ethanol. HCI has a formula weight of 36.46 grams per mole. If the stock solution of HCI is 12 moles per 1000 mL, how many mL of HCI need to be added to achieve a final volume of 150 mL of acid alcohol solution? Report your answer to two decimal places.

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Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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QUESTION 4
Microbiologists use acid-alcohol when performing a cell stain of the pathogen
Mycobacterium tuberculosis.
A common recipe is to make 3% (w/vol) HCI in ethanol. HCI has a formula weight of
36.46 grams per mole. If the stock solution of HCI is 12 moles per 1000 mL, how
many mL of HCI need to be added to achieve a final volume of 150 mL of acid
alcohol solution? Report your answer to two decimal places.
Algebra can be used to solve this problem!
In this context, the percentages act as concentrations. Therefore, it is possible to
use m₁v₁ = m₂v₂ and use the percentages as the concentration values. We can solve
for m, by converting the molarity of HCI into a percentage using its formula weight.
m₂ Mol HCI
m₁ =
1000 mL
36.46 g HCI
mol HCI
V1
Then substitute this value of m, into the equation
m₁v₁ = M₂V₂
and solve for v₁
=
X
x 100 %HCI
M₂V2
m₁
36.46 g HCI
(3%) (v₂)
m₂ Mol HCI
1000 mL
(100)
1 mol HCI
Solve for v₁ in a single step using Excel to avoid causing rounding error!
=
Save Answer
Transcribed Image Text:QUESTION 4 Microbiologists use acid-alcohol when performing a cell stain of the pathogen Mycobacterium tuberculosis. A common recipe is to make 3% (w/vol) HCI in ethanol. HCI has a formula weight of 36.46 grams per mole. If the stock solution of HCI is 12 moles per 1000 mL, how many mL of HCI need to be added to achieve a final volume of 150 mL of acid alcohol solution? Report your answer to two decimal places. Algebra can be used to solve this problem! In this context, the percentages act as concentrations. Therefore, it is possible to use m₁v₁ = m₂v₂ and use the percentages as the concentration values. We can solve for m, by converting the molarity of HCI into a percentage using its formula weight. m₂ Mol HCI m₁ = 1000 mL 36.46 g HCI mol HCI V1 Then substitute this value of m, into the equation m₁v₁ = M₂V₂ and solve for v₁ = X x 100 %HCI M₂V2 m₁ 36.46 g HCI (3%) (v₂) m₂ Mol HCI 1000 mL (100) 1 mol HCI Solve for v₁ in a single step using Excel to avoid causing rounding error! = Save Answer
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