Converting Volume from Milliliters to Liters

Oct 13, 2025 by wbrum.org 97 views

In this problem, we are given a solution of fructose, $C_6H_{12}O_6$ , with a concentration of 0.250 M and a volume of 325 mL. We need to calculate the mass of fructose in grams present in this solution.

The Molarity Formula

Molarity (M) is defined as the number of moles of solute per liter of solution. The formula for molarity is:

M = moles of solute / liters of solution

In this case, we are given the molarity (0.250 M) and the volume of the solution (325 mL). We need to convert the volume from milliliters to liters.

Converting Volume from Milliliters to Liters

To convert milliliters to liters, we can use the following conversion factor:

1 L = 1000 mL

So, we can convert 325 mL to liters as follows:

325 mL = 325 / 1000 L = 0.325 L

Calculating the Number of Moles of Fructose

Now that we have the volume of the solution in liters, we can use the molarity formula to calculate the number of moles of fructose:

moles of fructose = M x liters of solution = 0.250 M x 0.325 L = 0.08125 mol

Calculating the Mass of Fructose

To calculate the mass of fructose, we need to know the molar mass of fructose. The molar mass of fructose ( $C_6H_{12}O_6$ ) is:

6 x 12.01 g/mol (carbon) + 12 x 1.008 g/mol (hydrogen) + 6 x 16.00 g/mol (oxygen) = 72.06 g/mol (carbon) + 12.096 g/mol (hydrogen) + 96.00 g/mol (oxygen) = 180.156 g/mol

Now, we can calculate the mass of fructose as follows:

mass of fructose = moles of fructose x molar mass of fructose = 0.08125 mol x 180.156 g/mol = 14.59 g

Rounding the Answer

Rounding the answer to two significant figures, we get:

14.6 g

Therefore, the correct answer is C. 14.6 g.

Conclusion

In this article, we will answer some frequently asked questions related to calculating fructose concentration.

Q: What is molarity?

A: Molarity (M) is a measure of the concentration of a solution, defined as the number of moles of solute per liter of solution.

Q: How do I convert milliliters to liters?

A: To convert milliliters to liters, you can use the following conversion factor:

1 L = 1000 mL

So, to convert 325 mL to liters, you can divide by 1000:

325 mL = 325 / 1000 L = 0.325 L

Q: How do I calculate the number of moles of fructose?

A: To calculate the number of moles of fructose, you can use the molarity formula:

moles of fructose = M x liters of solution

In this case, we are given the molarity (0.250 M) and the volume of the solution (0.325 L). So, we can calculate the number of moles of fructose as follows:

moles of fructose = 0.250 M x 0.325 L = 0.08125 mol

Q: How do I calculate the mass of fructose?

A: To calculate the mass of fructose, you need to know the molar mass of fructose. The molar mass of fructose ( $C_6H_{12}O_6$ ) is:

6 x 12.01 g/mol (carbon) + 12 x 1.008 g/mol (hydrogen) + 6 x 16.00 g/mol (oxygen) = 72.06 g/mol (carbon) + 12.096 g/mol (hydrogen) + 96.00 g/mol (oxygen) = 180.156 g/mol

Now, you can calculate the mass of fructose as follows:

mass of fructose = moles of fructose x molar mass of fructose = 0.08125 mol x 180.156 g/mol = 14.59 g

Q: What is the correct answer?

A: The correct answer is C. 14.6 g.

Q: Why is it important to know the molar mass of fructose?

A: Knowing the molar mass of fructose is important because it allows you to calculate the mass of fructose in a solution. This is useful in a variety of applications, such as chemistry experiments and food production.

Q: Can I use this method to calculate the concentration of other substances?

A: Yes, you can use this method to calculate the concentration of other substances as long as you know the molarity and the volume of the solution. You will also need to know the molar mass of the substance.

Q: What if I have a different volume of solution?

A: If you have a different volume of solution, you can simply plug in the new volume into the molarity formula to calculate the number of moles of fructose. Then, you can multiply the number of moles by the molar mass to get the mass of fructose.

Conclusion

In this article, we answered some frequently asked questions related to calculating fructose concentration. We covered topics such as molarity, converting milliliters to liters, calculating the number of moles of fructose, and calculating the mass of fructose. We also discussed the importance of knowing the molar mass of fructose and how to use this method to calculate the concentration of other substances.