How Many Grams (of Mass m) of Glucose are in 345 ml of a 5.50% (m/v) Glucose Solution?: Dealing with Units and Percentage Accurately
How Many Grams (of Mass m) of Glucose are in 345 ml of a 5.50% (m/v) Glucose Solution?
Have you ever wondered how to calculate the mass of glucose in a solution? In this article, I’ll walk you through the steps to determine how many grams of glucose are present in a given volume of a 5.50% (m/v) glucose solution. Understanding this calculation can be useful in various scientific and medical fields.
Let’s consider an example where we have 345 ml of a 5.50% (m/v) glucose solution. The concentration is expressed as a percentage by mass per volume, which means that for every 100 ml of the solution, there are 5.50 grams of glucose dissolved in it.
To find the mass of glucose in our given volume, we need to use the equation:
Mass of Glucose = Volume of Solution (in mL) × Concentration (% m/v)
Plugging in our values, we get:
Mass of Glucose = 345 ml × 5.50%
Mass of Glucose = 345 ml × 0.055
By multiplying these numbers together, we can find the answer and determine how many grams of glucose are present in our specified volume.
Calculating the Mass of Glucose in a Solution
To determine the mass of glucose in a solution, we can use the formula:
Mass of glucose = Volume of solution (in mL) × Concentration of glucose (in g/mL)
In this case, we are given that the volume of the solution is 345 mL and the glucose concentration is 5.50% (m/v). Let’s break down the calculation step by step.
- Convert the concentration from percentage to grams per milliliter:
- 5.50% (m/v) means 5.50 grams of glucose per 100 milliliters.
- To convert it to grams per milliliter, we divide by 100: 5.50 g/100 mL = 0.055 g/mL.
- Multiply the volume of the solution by the concentration:
- Mass of glucose = 345 mL × 0.055 g/mL
- Mass of glucose = 18.975 g
So, there are approximately 18.975 grams of glucose in a 345 mL solution with a concentration of 5.50% (m/v).
It’s important to note that when calculating concentrations in solutions, it’s essential to account for both volume and concentration units to ensure accurate results.
Understanding the Given Parameters
To solve the problem of calculating the mass of glucose in a given solution, we need to understand and analyze the parameters provided. Let’s break down each component:
- Volume (V): The volume of the solution is given as 345 ml. This tells us how much liquid is present in the sample.
- Concentration (5.50% m/v): The concentration is expressed as a percentage by mass per volume (% m/v). In this case, it represents the amount of glucose dissolved in 100 ml of the solution. So, for every 100 ml of the solution, there are 5.50 grams of glucose.
- Glucose Mass (m): We are tasked with determining the mass of glucose present in the given volume (345 ml) of the solution.
Now that we clearly understand these parameters, we can proceed with solving for the mass of glucose.
To calculate this, we’ll use a simple equation:
Mass = Volume × Concentration
Let’s substitute our values into this equation:
Mass = 345 ml × (5.50 g/100 ml)
Mass = (345 × 5.50) / 100
Calculating this expression yields our desired result:
Mass = 18.975 g
Therefore, approximately 18.975 grams of glucose are in a 345 ml sample of a 5.50% m/v glucose solution.