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What Is the Molarity of 5.30 G of Na2CO3 Dissolved in 400.0 mL Solution?

Molarity is a term used to describe the concentration of a solute in a solution. It is defined as the number of moles of solute per liter of solution. In this article, we will calculate the molarity of 5.30 g of Na2CO3 dissolved in a 400.0 mL solution.

To calculate the molarity, we first need to determine the number of moles of Na2CO3. The molar mass of Na2CO3 is calculated by adding the atomic masses of its constituent elements: sodium (Na), carbon (C), and oxygen (O). The atomic masses of Na, C, and O are 22.99 g/mol, 12.01 g/mol, and 16.00 g/mol, respectively.

Molar mass of Na2CO3 = (2 * atomic mass of Na) + atomic mass of C + (3 * atomic mass of O)

= (2 * 22.99 g/mol) + 12.01 g/mol + (3 * 16.00 g/mol)

= 45.98 g/mol + 12.01 g/mol + 48.00 g/mol

= 105.99 g/mol

Now, we can calculate the number of moles of Na2CO3 using the formula:

Number of moles = mass of substance / molar mass

Number of moles of Na2CO3 = 5.30 g / 105.99 g/mol

= 0.05 mol

Next, we need to convert the volume of the solution from milliliters (mL) to liters (L). Since there are 1000 mL in 1 L, the volume of the solution is:

Volume of solution = 400.0 mL / 1000 mL/L

= 0.4 L

Finally, we can calculate the molarity of the solution using the formula:

Molarity = number of moles / volume of solution

Molarity = 0.05 mol / 0.4 L

= 0.125 M

Therefore, the molarity of 5.30 g of Na2CO3 dissolved in a 400.0 mL solution is 0.125 M.

FAQs:

Q: What is molarity?

A: Molarity is a measure of the concentration of a solute in a solution. It is defined as the number of moles of solute per liter of solution.

Q: How do you calculate molarity?

A: To calculate molarity, you need to know the number of moles of solute and the volume of the solution in liters. You can then divide the number of moles by the volume to obtain the molarity.

Q: What is the molar mass of Na2CO3?

A: The molar mass of Na2CO3 is calculated by adding the atomic masses of its constituent elements: sodium (Na), carbon (C), and oxygen (O). The atomic masses of Na, C, and O are 22.99 g/mol, 12.01 g/mol, and 16.00 g/mol, respectively. Therefore, the molar mass of Na2CO3 is 105.99 g/mol.

Q: How do you convert mL to L?

A: To convert milliliters (mL) to liters (L), divide the volume in milliliters by 1000. This is because there are 1000 milliliters in 1 liter.

Q: Why is molarity important?

A: Molarity is important because it allows us to accurately measure and express the concentration of a solute in a solution. It is widely used in various fields, including chemistry, biology, and medicine, to carry out experiments, make solutions, and determine reaction rates.

In conclusion, the molarity of a solution containing 5.30 g of Na2CO3 dissolved in 400.0 mL is 0.125 M. Molarity is an essential concept in chemistry that helps us quantify the concentration of solutes in solutions. By understanding how to calculate molarity, we can accurately prepare and analyze solutions for various scientific and practical purposes.

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