Questions: What is the difference between a 5%(m/m) glucose solution and a 5%(m/v) glucose solution?

What is the difference between a 5%(m/m) glucose solution and a 5%(m/v) glucose solution?
Transcript text: What is the difference between a $5 \%(\mathrm{~m} / \mathrm{m})$ glucose solution and a $5 \%(\mathrm{~m} / \mathrm{v})$ glucose solution?
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Solution

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Solution Steps

Step 1: Understanding the Definitions

A $5\% (\mathrm{m}/\mathrm{m})$ glucose solution means that there are 5 grams of glucose in every 100 grams of the solution. This is a mass/mass percentage.

A $5\% (\mathrm{m}/\mathrm{v})$ glucose solution means that there are 5 grams of glucose in every 100 milliliters of the solution. This is a mass/volume percentage.

Step 2: Analyzing the $5\% (\mathrm{m}/\mathrm{m})$ Solution

For a $5\% (\mathrm{m}/\mathrm{m})$ solution:

  • 5 grams of glucose are mixed with enough water to make the total mass of the solution 100 grams.
  • Therefore, the mass of water needed is \(100 \, \text{g} - 5 \, \text{g} = 95 \, \text{g}\).
Step 3: Analyzing the $5\% (\mathrm{m}/\mathrm{v})$ Solution

For a $5\% (\mathrm{m}/\mathrm{v})$ solution:

  • 5 grams of glucose are mixed with enough water to make the total volume of the solution 100 milliliters.
  • Therefore, the volume of water needed is \(100 \, \text{mL} - 5 \, \text{mL} = 95 \, \text{mL}\).

Final Answer

  • For the $5\% (\mathrm{m}/\mathrm{m})$ solution: 95 g of water
  • For the $5\% (\mathrm{m}/\mathrm{v})$ solution: enough water to make 100 mL of solution

\[ \boxed{\text{95 g of water, enough water to make 100 mL of solution}} \]

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