# What Is the Volume of a Solution With a Concentration of 2.90 M and Containing 15.0 G BACL2?

What Is the Volume of a Solution With a Concentration of 2.90 M and Containing 15.0 G BACL2?

Introduction:

In chemistry, concentration is a measure of the amount of a substance present in a given volume of a solution. It is often expressed in terms of molarity (M), which is defined as the number of moles of solute per liter of solution. To calculate the volume of a solution with a known concentration and mass of solute, one can use the formula:

Volume (V) = Mass of Solute (m) / Concentration (C)

In this article, we will explore the calculation of the volume of a solution with a concentration of 2.90 M and containing 15.0 g of BaCl2 (barium chloride).

Calculation:

To begin the calculation, we need to convert the mass of BaCl2 to moles. This can be done using the molar mass of BaCl2, which is calculated by summing the atomic masses of its constituent elements:

Molar Mass of BaCl2 = (1 * Atomic Mass of Ba) + (2 * Atomic Mass of Cl)

= (1 * 137.33 g/mol) + (2 * 35.45 g/mol)

= 137.33 g/mol + 70.9 g/mol

= 208.23 g/mol

Now we can calculate the number of moles of BaCl2 in 15.0 g:

Number of Moles (n) = Mass (m) / Molar Mass (M)

= 15.0 g / 208.23 g/mol

= 0.072 moles

Using the formula mentioned earlier, we can now calculate the volume of the solution:

Volume (V) = Mass of Solute (m) / Concentration (C)

= 0.072 moles / 2.90 M

= 0.0249 L

Converting this volume to milliliters (mL):

Volume (V) = 0.0249 L * 1000 mL/L

= 24.9 mL

Therefore, the volume of the solution with a concentration of 2.90 M and containing 15.0 g of BaCl2 is 24.9 mL.

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FAQs:

1. What is the significance of concentration in a solution?

Concentration is a crucial parameter in chemistry as it determines the amount of solute present in a given volume of a solution. It helps in understanding the reactivity, stability, and behavior of substances dissolved in a solvent.

2. Can the volume of a solution be measured directly?

Yes, the volume of a solution can be measured directly using various laboratory apparatus such as graduated cylinders, pipettes, burettes, or volumetric flasks. These instruments are designed with precision markings to accurately measure volumes.

3. How is molarity different from molality?

Molarity (M) is the concentration of a solution expressed as the number of moles of solute per liter of solution, whereas molality (m) is the concentration of a solution expressed as the number of moles of solute per kilogram of solvent. Molarity is temperature-dependent, while molality remains constant regardless of temperature changes.

4. Can concentration affect the physical properties of a solution?

Yes, concentration plays a significant role in altering the physical properties of a solution. For example, increasing the concentration of a solute can increase the boiling point, freezing point, density, and viscosity of the solution.

Conclusion:

Determining the volume of a solution with a known concentration and mass of solute is an essential calculation in chemistry. By using the formula Volume (V) = Mass of Solute (m) / Concentration (C), one can accurately calculate the required volume. In the case of a solution with a concentration of 2.90 M and containing 15.0 g of BaCl2, the volume was found to be 24.9 mL. Understanding concentration and its calculation is crucial in various chemical applications and laboratory experiments.