How Many Grams of Glucose are Present in 500.0 mL of a 5.00% (m/v) Solution?: Accurately Determine the Quantity of Substances

How Many Grams of Glucose are Present in 500.0 mL of a 5.00% (m/v) Solution?

Are you curious how many grams of glucose are present in a solution? Specifically, what is the amount of glucose in 500.0 ml of a 5.00% (m/v) solution? Well, I’ve got the answer for you! In this article, I’ll provide the calculations and steps to determine the exact quantity of glucose in that given volume.

To start, let’s break down what a 5.00% (m/v) solution means. The “m/v” stands for mass per volume, indicating that we are looking at the ratio of mass (in grams) to volume (in milliliters). In our case, we have 500.0 ml of this solution.

Now comes the important part – calculating the amount of glucose in this solution. By knowing that it is a 5% solution, we can infer that there is 5 grams of glucose present for every 100 ml of the solution. To find out how much is in our specific volume, we can set up a simple proportion and solve for x:

(5 grams / 100 ml) = (x grams / 500 ml)

Cross-multiplying gives us:

100 * x = 5 * 500

Simplifying further:

x = (5 * 500) / 100

Calculating this equation will give us the precise amount of glucose in those circumstances.

Calculating the Amount of Glucose in a Solution

We can use a simple calculation to determine the amount of glucose present in a 500.0 ml solution with a concentration of 5.00% (m/v). Here’s how you can do it:

1. Convert the percentage concentration to grams per milliliter:
   • The solution has a concentration of 5.00% (m/v), meaning 5.00 grams of glucose are present in every 100 ml of solution.
   • We can calculate the amount of glucose in grams for each milliliter by dividing this value by 100: 5.00 g / 100 ml = 0.050 g/ml

2. Multiply the grams per milliliter value by the volume of the solution:
   • In this case, we have a total volume of 500.0 ml.
   • By multiplying this volume by the grams per milliliter value, we can find out how many grams of glucose are present: 0.050 g/ml * 500.0 ml = 25 g

So, there are approximately 25 grams of glucose present in a 500.0 ml solution with a concentration of 5.00% (m/v).

It’s important to note that this calculation assumes that the density and solute-solvent interactions remain constant throughout the entire solution.

Finding the Mass of Glucose in Grams

We can follow a straightforward calculation to determine the mass of glucose in grams present in a 500.0 ml solution with a concentration of 5.00% (m/v). Here’s how we can approach it:

1. Convert the volume from milliliters to liters:
   • 500.0 ml = 500.0/1000 = 0.5 L

2. Calculate the amount of glucose in grams using the concentration:
   • Concentration = (mass of solute/volume of solution) * 100
   • Rearranging the formula, we have: mass of solute = (concentration * volume of solution) / 100
   • Substituting the given values, we get: mass of solute = (5.00 * 0.5) / 100

3. Perform the calculation:
   • Mass of solute = (5.00 * 0.5) / 100
   • Mass of solute = 0.025 grams

Therefore, approximately 0.025 grams of glucose are present in a 500.0 ml solution with a concentration of 5.00% (m/v).