Calculating the Volume of the Solution Needed

Oct 13, 2025 by magicalceylontours.com 13 views

Understanding the Problem

Martha has a large amount of a $1.25 \, M \, H_2SO_4$ solution in her lab, and she needs to determine how many liters of this solution she should use for a chemical reaction. To solve this problem, we need to understand the concept of molarity and how it relates to the volume of a solution.

What is Molarity?

Molarity is a measure of the concentration of a solution, expressed in units of moles per liter (mol/L). It is defined as the number of moles of solute present in one liter of solution. In this case, Martha has a $1.25 \, M \, H_2SO_4$ solution, which means that there are 1.25 moles of $H_2SO_4$ per liter of solution.

Calculating the Number of Moles of $H_2SO_4$ Needed

To determine how many liters of the solution Martha should use, we need to calculate the number of moles of $H_2SO_4$ needed for the chemical reaction. We are given that she needs 72 grams of $H_2SO_4$ . To convert this to moles, we need to know the molar mass of $H_2SO_4$ . The molar mass of $H_2SO_4$ is 98.08 g/mol.

# Calculate the number of moles of H2SO4 needed
molar_mass_H2SO4 = 98.08  # g/mol
mass_H2SO4_needed = 72  # g
moles_H2SO4_needed = mass_H2SO4_needed / molar_mass_H2SO4
print(moles_H2SO4_needed)

Calculating the Volume of the Solution Needed

Now that we know the number of moles of $H_2SO_4$ needed, we can calculate the volume of the solution required. We are given that the solution has a concentration of 1.25 M, which means that there are 1.25 moles of $H_2SO_4$ per liter of solution. To calculate the volume of the solution needed, we can divide the number of moles of $H_2SO_4$ needed by the molarity of the solution.

# Calculate the volume of the solution needed
molarity_solution = 1.25  # M
moles_H2SO4_needed = 0.732  # mol (calculated above)
volume_solution_needed = moles_H2SO4_needed / molarity_solution
print(volume_solution_needed)

Conclusion

In conclusion, to determine how many liters of the $1.25 \, M \, H_2SO_4$ solution Martha should use for a chemical reaction, we need to calculate the number of moles of $H_2SO_4$ needed and then divide this by the molarity of the solution. Using the values given in the problem, we find that Martha should use approximately 0.59 liters of the solution.

Answer

Q: What is molarity, and how is it related to the volume of a solution?

A: Molarity is a measure of the concentration of a solution, expressed in units of moles per liter (mol/L). It is defined as the number of moles of solute present in one liter of solution. In the context of the problem, the molarity of the $1.25 \, M \, H_2SO_4$ solution is 1.25 moles of $H_2SO_4$ per liter of solution.

Q: How do I calculate the number of moles of solute needed for a chemical reaction?

A: To calculate the number of moles of solute needed, you need to know the mass of the solute required for the reaction and the molar mass of the solute. The molar mass of $H_2SO_4$ is 98.08 g/mol. You can use the following formula to calculate the number of moles of solute needed:

moles = mass / molar mass

For example, if you need 72 grams of $H_2SO_4$ for a reaction, you can calculate the number of moles as follows:

moles = 72 g / 98.08 g/mol = 0.732 mol

Q: How do I calculate the volume of the solution needed for a chemical reaction?

A: To calculate the volume of the solution needed, you need to know the number of moles of solute required for the reaction and the molarity of the solution. You can use the following formula to calculate the volume of the solution needed:

volume = moles / molarity

For example, if you need 0.732 moles of $H_2SO_4$ for a reaction and the solution has a molarity of 1.25 M, you can calculate the volume of the solution needed as follows:

volume = 0.732 mol / 1.25 M = 0.585 L

Q: What if I don't know the molarity of the solution?

A: If you don't know the molarity of the solution, you can't calculate the volume of the solution needed. However, you can still calculate the number of moles of solute needed using the mass of the solute required for the reaction and the molar mass of the solute.

Q: Can I use a different unit of concentration, such as percentage or ppm?

A: Yes, you can use a different unit of concentration, such as percentage or ppm. However, you need to convert the concentration to molarity before you can calculate the volume of the solution needed.

Q: What if I need to calculate the volume of a solution with a different concentration?

A: If you need to calculate the volume of a solution with a different concentration, you can use the same formulas as before. However, you need to know the new concentration and the number of moles of solute required for the reaction.

Conclusion

In conclusion, determining the volume of a solution for a chemical reaction requires knowledge of the molarity of the solution, the number of moles of solute needed, and the concentration of the solution. By using the formulas and examples provided in this article, you can calculate the volume of the solution needed for a chemical reaction.