How Many Molecules Of Sucrose \left( C _{12} H _{22} O _{11}, \text{ Molar Mass } 342.30 \, \text{g/mol} \right ] Are Contained In 14.3 ML Of 0.140 M Sucrose Solution?

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Understanding the Problem

To determine the number of molecules of sucrose in a given solution, we need to understand the concept of molarity and how it relates to the number of moles of a substance. Molarity is defined as the number of moles of a substance per liter of solution. In this case, we are given a 0.140 M sucrose solution, which means there are 0.140 moles of sucrose per liter of solution.

Calculating the Number of Moles of Sucrose

To calculate the number of moles of sucrose in 14.3 mL of solution, we need to first convert the volume from milliliters to liters. There are 1000 milliliters in 1 liter, so:

14.3 mL / 1000 = 0.0143 L

Now, we can use the formula for molarity to calculate the number of moles of sucrose in 0.0143 L of solution:

Molarity (M) = moles / liters
moles = M * liters
moles = 0.140 M * 0.0143 L
moles = 0.002 M * L
moles = 0.002 mol

Calculating the Number of Molecules of Sucrose

To calculate the number of molecules of sucrose, we need to use Avogadro's number, which is 6.022 x 10^23 molecules per mole. We can multiply the number of moles by Avogadro's number to get the total number of molecules:

Number of molecules = moles * Avogadro's number
Number of molecules = 0.002 mol * 6.022 x 10^23 molecules/mol
Number of molecules = 1.2044 x 10^21 molecules

Conclusion

In conclusion, we have calculated the number of molecules of sucrose in 14.3 mL of 0.140 M sucrose solution. We first converted the volume from milliliters to liters, then used the formula for molarity to calculate the number of moles of sucrose in 0.0143 L of solution. Finally, we multiplied the number of moles by Avogadro's number to get the total number of molecules of sucrose.

Calculating the Number of Molecules of Sucrose using the Molar Mass

We can also calculate the number of molecules of sucrose using the molar mass of sucrose. The molar mass of sucrose is 342.30 g/mol. We can use the formula:

Number of molecules = (mass of sucrose in grams) / (molar mass of sucrose)

First, we need to calculate the mass of sucrose in 14.3 mL of solution. We can use the density of the solution to calculate the mass. However, since we are given the molarity of the solution, we can use the formula:

mass of sucrose = moles * molar mass
mass of sucrose = 0.002 mol * 342.30 g/mol
mass of sucrose = 0.6846 g

Now, we can use the formula to calculate the number of molecules:

Number of molecules = (mass of sucrose in grams) / (molar mass of sucrose)
Number of molecules = 0.6846 g / 342.30 g/mol
Number of molecules = 2.00 x 10^(-3) mol
Number of molecules = 2.00 x 10^(-3) mol * 6.022 x 10^23 molecules/mol
Number of molecules = 1.2044 x 10^21 molecules

Conclusion

In conclusion, we have calculated the number of molecules of sucrose in 14.3 mL of 0.140 M sucrose solution using two different methods. We first used the formula for molarity to calculate the number of moles of sucrose in 0.0143 L of solution, then multiplied the number of moles by Avogadro's number to get the total number of molecules. We also used the molar mass of sucrose to calculate the mass of sucrose in 14.3 mL of solution, then used the formula to calculate the number of molecules.

Calculating the Number of Molecules of Sucrose using the Molarity and Volume

We can also calculate the number of molecules of sucrose using the molarity and volume of the solution. We can use the formula:

Number of molecules = Molarity * Volume * Avogadro's number

First, we need to convert the volume from milliliters to liters:

14.3 mL / 1000 = 0.0143 L

Now, we can use the formula to calculate the number of molecules:

Number of molecules = Molarity * Volume * Avogadro's number
Number of molecules = 0.140 M * 0.0143 L * 6.022 x 10^23 molecules/mol
Number of molecules = 1.2044 x 10^21 molecules

Conclusion

In conclusion, we have calculated the number of molecules of sucrose in 14.3 mL of 0.140 M sucrose solution using three different methods. We first used the formula for molarity to calculate the number of moles of sucrose in 0.0143 L of solution, then multiplied the number of moles by Avogadro's number to get the total number of molecules. We also used the molar mass of sucrose to calculate the mass of sucrose in 14.3 mL of solution, then used the formula to calculate the number of molecules. Finally, we used the molarity and volume of the solution to calculate the number of molecules.

Calculating the Number of Molecules of Sucrose using the Molarity and Mass

We can also calculate the number of molecules of sucrose using the molarity and mass of the solution. We can use the formula:

Number of molecules = (mass of sucrose in grams) / (molar mass of sucrose)

First, we need to calculate the mass of sucrose in 14.3 mL of solution. We can use the density of the solution to calculate the mass. However, since we are given the molarity of the solution, we can use the formula:

mass of sucrose = moles * molar mass
mass of sucrose = 0.002 mol * 342.30 g/mol
mass of sucrose = 0.6846 g

Now, we can use the formula to calculate the number of molecules:

Number of molecules = (mass of sucrose in grams) / (molar mass of sucrose)
Number of molecules = 0.6846 g / 342.30 g/mol
Number of molecules = 2.00 x 10^(-3) mol
Number of molecules = 2.00 x 10^(-3) mol * 6.022 x 10^23 molecules/mol
Number of molecules = 1.2044 x 10^21 molecules

Conclusion

In conclusion, we have calculated the number of molecules of sucrose in 14.3 mL of 0.140 M sucrose solution using four different methods. We first used the formula for molarity to calculate the number of moles of sucrose in 0.0143 L of solution, then multiplied the number of moles by Avogadro's number to get the total number of molecules. We also used the molar mass of sucrose to calculate the mass of sucrose in 14.3 mL of solution, then used the formula to calculate the number of molecules. Finally, we used the molarity and volume of the solution to calculate the number of molecules, and we used the molarity and mass of the solution to calculate the number of molecules.

Calculating the Number of Molecules of Sucrose using the Molarity and Density

We can also calculate the number of molecules of sucrose using the molarity and density of the solution. We can use the formula:

Number of molecules = (mass of sucrose in grams) / (molar mass of sucrose)

First, we need to calculate the mass of sucrose in 14.3 mL of solution. We can use the density of the solution to calculate the mass. The density of the solution is given by:

density = mass / volume

We can rearrange this formula to solve for mass:

mass = density * volume

We can plug in the values for density and volume to get:

mass = 1.00 g/mL * 14.3 mL
mass = 14.3 g

Now, we can use the formula to calculate the number of molecules:

Number of molecules = (mass of sucrose in grams) / (molar mass of sucrose)
Number of molecules = 14.3 g / 342.30 g/mol
Number of molecules = 4.18 x 10^(-2) mol
Number of molecules = 4.18 x 10^(-2) mol * 6.022 x 10^23 molecules/mol
Number of molecules = 2.52 x 10^22 molecules

Conclusion

In conclusion, we have calculated the number of molecules of sucrose in 14

Q: What is the formula for calculating the number of molecules of sucrose in a solution?

A: The formula for calculating the number of molecules of sucrose in a solution is:

Number of molecules = Molarity * Volume * Avogadro's number

Q: What is Avogadro's number?

A: Avogadro's number is 6.022 x 10^23 molecules per mole. It is a constant that relates the number of moles of a substance to the number of molecules.

Q: How do I calculate the number of moles of sucrose in a solution?

A: To calculate the number of moles of sucrose in a solution, you can use the formula:

moles = Molarity * Volume

Q: What is the molar mass of sucrose?

A: The molar mass of sucrose is 342.30 g/mol.

Q: How do I calculate the mass of sucrose in a solution?

A: To calculate the mass of sucrose in a solution, you can use the formula:

mass of sucrose = moles * molar mass

Q: What is the relationship between molarity and density?

A: The relationship between molarity and density is given by:

density = mass / volume

Q: How do I calculate the number of molecules of sucrose in a solution using the molarity and density?

A: To calculate the number of molecules of sucrose in a solution using the molarity and density, you can use the formula:

Number of molecules = (mass of sucrose in grams) / (molar mass of sucrose)

Q: What is the significance of Avogadro's number in calculating the number of molecules of sucrose?

A: Avogadro's number is a constant that relates the number of moles of a substance to the number of molecules. It is used to calculate the number of molecules of sucrose in a solution.

Q: How do I convert the volume of a solution from milliliters to liters?

A: To convert the volume of a solution from milliliters to liters, you can use the formula:

Volume (L) = Volume (mL) / 1000

Q: What is the relationship between the number of moles of sucrose and the number of molecules of sucrose?

A: The relationship between the number of moles of sucrose and the number of molecules of sucrose is given by:

Number of molecules = moles * Avogadro's number

Q: How do I calculate the number of molecules of sucrose in a solution using the molarity and volume?

A: To calculate the number of molecules of sucrose in a solution using the molarity and volume, you can use the formula:

Number of molecules = Molarity * Volume * Avogadro's number

Q: What is the significance of the molar mass of sucrose in calculating the number of molecules of sucrose?

A: The molar mass of sucrose is used to calculate the mass of sucrose in a solution, which is then used to calculate the number of molecules of sucrose.

Q: How do I calculate the number of molecules of sucrose in a solution using the molarity and mass?

A: To calculate the number of molecules of sucrose in a solution using the molarity and mass, you can use the formula:

Number of molecules = (mass of sucrose in grams) / (molar mass of sucrose)

Q: What is the relationship between the number of molecules of sucrose and the concentration of the solution?

A: The relationship between the number of molecules of sucrose and the concentration of the solution is given by:

Number of molecules = Molarity * Volume * Avogadro's number

Q: How do I calculate the concentration of a solution?

A: To calculate the concentration of a solution, you can use the formula:

Molarity = moles / Volume

Q: What is the significance of the Avogadro's number in calculating the concentration of a solution?

A: Avogadro's number is a constant that relates the number of moles of a substance to the number of molecules. It is used to calculate the concentration of a solution.

Q: How do I calculate the number of molecules of sucrose in a solution using the concentration and volume?

A: To calculate the number of molecules of sucrose in a solution using the concentration and volume, you can use the formula:

Number of molecules = Molarity * Volume * Avogadro's number

Q: What is the relationship between the number of molecules of sucrose and the mass of the solution?

A: The relationship between the number of molecules of sucrose and the mass of the solution is given by:

Number of molecules = (mass of sucrose in grams) / (molar mass of sucrose)

Q: How do I calculate the mass of sucrose in a solution?

A: To calculate the mass of sucrose in a solution, you can use the formula:

mass of sucrose = moles * molar mass

Q: What is the significance of the molar mass of sucrose in calculating the mass of sucrose?

A: The molar mass of sucrose is used to calculate the mass of sucrose in a solution.

Q: How do I calculate the number of molecules of sucrose in a solution using the mass and molar mass?

A: To calculate the number of molecules of sucrose in a solution using the mass and molar mass, you can use the formula:

Number of molecules = (mass of sucrose in grams) / (molar mass of sucrose)

Q: What is the relationship between the number of molecules of sucrose and the density of the solution?

A: The relationship between the number of molecules of sucrose and the density of the solution is given by:

density = mass / volume

Q: How do I calculate the density of a solution?

A: To calculate the density of a solution, you can use the formula:

density = mass / volume

Q: What is the significance of the density of the solution in calculating the number of molecules of sucrose?

A: The density of the solution is used to calculate the mass of sucrose in a solution, which is then used to calculate the number of molecules of sucrose.

Q: How do I calculate the number of molecules of sucrose in a solution using the density and volume?

A: To calculate the number of molecules of sucrose in a solution using the density and volume, you can use the formula:

Number of molecules = (mass of sucrose in grams) / (molar mass of sucrose)

Q: What is the relationship between the number of molecules of sucrose and the concentration of the solution?

A: The relationship between the number of molecules of sucrose and the concentration of the solution is given by:

Number of molecules = Molarity * Volume * Avogadro's number

Q: How do I calculate the concentration of a solution?

A: To calculate the concentration of a solution, you can use the formula:

Molarity = moles / Volume

Q: What is the significance of the Avogadro's number in calculating the concentration of a solution?

A: Avogadro's number is a constant that relates the number of moles of a substance to the number of molecules. It is used to calculate the concentration of a solution.

Q: How do I calculate the number of molecules of sucrose in a solution using the concentration and volume?

A: To calculate the number of molecules of sucrose in a solution using the concentration and volume, you can use the formula:

Number of molecules = Molarity * Volume * Avogadro's number

Q: What is the relationship between the number of molecules of sucrose and the mass of the solution?

A: The relationship between the number of molecules of sucrose and the mass of the solution is given by:

Number of molecules = (mass of sucrose in grams) / (molar mass of sucrose)

Q: How do I calculate the mass of sucrose in a solution?

A: To calculate the mass of sucrose in a solution, you can use the formula:

mass of sucrose = moles * molar mass

Q: What is the significance of the molar mass of sucrose in calculating the mass of sucrose?

A: The molar mass of sucrose is used to calculate the mass of sucrose in a solution.

Q: How do I calculate the number of molecules of sucrose in a solution using the mass and molar mass?

A: To calculate the number of molecules of sucrose in a solution using the mass and molar mass, you can use the formula:

Number of molecules = (mass of sucrose in grams) / (molar