A Solution Of $MgSO_4$ Is Prepared By Dissolving 25 G Of $MgSO_4$ In 250 ML Of Solution. Calculate The Molarity Of The Resulting Solution.A. 0.1 M B. 0.00083 M C. 100 M D. 0.83 M
Introduction
Molarity is a fundamental concept in chemistry that measures the concentration of a solution in terms of the number of moles of solute per liter of solution. In this article, we will explore how to calculate the molarity of a solution prepared by dissolving a known amount of magnesium sulfate (MgSO4) in a specific volume of solution.
Understanding Molarity
Molarity (M) is defined as the number of moles of solute (n) per liter of solution (V). Mathematically, it can be expressed as:
M = n / V
where M is the molarity, n is the number of moles of solute, and V is the volume of the solution in liters.
Calculating Molarity of MgSO4 Solution
To calculate the molarity of the MgSO4 solution, we need to know the number of moles of MgSO4 and the volume of the solution in liters.
Step 1: Calculate the Number of Moles of MgSO4
The molar mass of MgSO4 is 120.38 g/mol. To calculate the number of moles of MgSO4, we can use the formula:
n = mass of MgSO4 / molar mass of MgSO4
Given that 25 g of MgSO4 is dissolved in the solution, we can calculate the number of moles as follows:
n = 25 g / 120.38 g/mol = 0.208 mol
Step 2: Calculate the Volume of the Solution in Liters
The volume of the solution is given as 250 mL. To convert this to liters, we can use the conversion factor:
1 L = 1000 mL
Therefore, the volume of the solution in liters is:
V = 250 mL / 1000 mL/L = 0.25 L
Step 3: Calculate the Molarity of the Solution
Now that we have the number of moles of MgSO4 and the volume of the solution in liters, we can calculate the molarity using the formula:
M = n / V
Substituting the values, we get:
M = 0.208 mol / 0.25 L = 0.832 M
Rounding to two significant figures, the molarity of the solution is approximately 0.83 M.
Conclusion
In this article, we calculated the molarity of a solution prepared by dissolving 25 g of MgSO4 in 250 mL of solution. We first calculated the number of moles of MgSO4 using its molar mass, and then converted the volume of the solution from milliliters to liters. Finally, we used the formula for molarity to calculate the concentration of the solution. The result is a molarity of approximately 0.83 M.
Discussion
The molarity of a solution is an important concept in chemistry that has numerous applications in various fields, including chemistry, biology, and medicine. Understanding how to calculate molarity is crucial for scientists and researchers to accurately determine the concentration of solutions and make informed decisions.
In this case, the molarity of the MgSO4 solution is approximately 0.83 M, which means that there are 0.83 moles of MgSO4 per liter of solution. This information can be useful in various applications, such as determining the amount of MgSO4 required for a specific reaction or calculating the concentration of a solution.
Answer
The correct answer is D. 0.83 M.
References
- CRC Handbook of Chemistry and Physics, 97th Edition
- Chemistry: The Central Science, 14th Edition by Theodore L. Brown, H. Eugene LeMay, Jr., and Bruce E. Bursten
- Molarity Calculator: A Tool for Calculating Molarity of Solutions
Introduction
In our previous article, we calculated the molarity of a solution prepared by dissolving 25 g of MgSO4 in 250 mL of solution. In this article, we will address some frequently asked questions (FAQs) related to the calculation of molarity and provide additional information to help you better understand the concept.
Q&A
Q1: What is the difference between molarity and molality?
A1: Molarity and molality are both measures of concentration, but they differ in the way they are calculated. Molarity is defined as the number of moles of solute per liter of solution, while molality is defined as the number of moles of solute per kilogram of solvent.
Q2: How do I calculate the molarity of a solution if I know the number of moles of solute and the volume of the solution in milliliters?
A2: To calculate the molarity of a solution, you need to know the number of moles of solute and the volume of the solution in liters. If you know the number of moles of solute and the volume of the solution in milliliters, you can convert the volume from milliliters to liters by dividing by 1000.
Q3: What is the molarity of a solution if I know the mass of the solute and the volume of the solution in liters?
A3: To calculate the molarity of a solution, you need to know the number of moles of solute and the volume of the solution in liters. If you know the mass of the solute and the volume of the solution in liters, you can calculate the number of moles of solute using the formula:
n = mass of solute / molar mass of solute
Then, you can calculate the molarity using the formula:
M = n / V
Q4: How do I calculate the molarity of a solution if I know the number of moles of solute and the volume of the solution in cubic centimeters?
A4: To calculate the molarity of a solution, you need to know the number of moles of solute and the volume of the solution in liters. If you know the number of moles of solute and the volume of the solution in cubic centimeters, you can convert the volume from cubic centimeters to liters by dividing by 1000.
Q5: What is the molarity of a solution if I know the mass of the solute and the volume of the solution in cubic centimeters?
A5: To calculate the molarity of a solution, you need to know the number of moles of solute and the volume of the solution in liters. If you know the mass of the solute and the volume of the solution in cubic centimeters, you can calculate the number of moles of solute using the formula:
n = mass of solute / molar mass of solute
Then, you can calculate the molarity using the formula:
M = n / V
Q6: How do I convert the molarity of a solution from one unit to another?
A6: To convert the molarity of a solution from one unit to another, you can use the following conversion factors:
- 1 M = 1000 mmol/L
- 1 M = 1000 μmol/mL
- 1 M = 1000 nmol/μL
Conclusion
In this article, we addressed some frequently asked questions related to the calculation of molarity and provided additional information to help you better understand the concept. We hope that this article has been helpful in clarifying any doubts you may have had about molarity.
Discussion
Molarity is an important concept in chemistry that has numerous applications in various fields, including chemistry, biology, and medicine. Understanding how to calculate molarity is crucial for scientists and researchers to accurately determine the concentration of solutions and make informed decisions.
In this case, we calculated the molarity of a solution prepared by dissolving 25 g of MgSO4 in 250 mL of solution. We first calculated the number of moles of MgSO4 using its molar mass, and then converted the volume of the solution from milliliters to liters. Finally, we used the formula for molarity to calculate the concentration of the solution.
References
- CRC Handbook of Chemistry and Physics, 97th Edition
- Chemistry: The Central Science, 14th Edition by Theodore L. Brown, H. Eugene LeMay, Jr., and Bruce E. Bursten
- Molarity Calculator: A Tool for Calculating Molarity of Solutions