Vanillin is the key component of vanilla extract that gives it its unique flavor. Assuming that vanilla extract is composed entirely of vanillin molecules, if the density of vanilla extract is 0.8 grams per mL, how many molecules of vanillin are there in 1 tsp (5 mL)? The molecular weight of vanillin is 151 grams per mole.
1tsp * 5mL/tsp * 0.8g/1mL * 1mole/151g * 6.022*10^23molecules/mole
= 1.59 * 10^22
Well, that's a rather molecular question, but don't worry, I'm here to crack some jokes and help you out. Let's do some calculations and have some fun with numbers!
First, we need to calculate the mass of 5 mL of vanilla extract:
Density of vanilla extract = 0.8 g/mL
Volume of vanilla extract = 5 mL
So, Mass of vanilla extract = Density x Volume
Mass of vanilla extract = 0.8 g/mL x 5 mL
Mass of vanilla extract = 4 grams
Since the molecular weight of vanillin is 151 g/mol, we can now calculate the number of moles of vanillin in 4 grams:
Number of moles = Mass / Molecular Weight
Number of moles = 4 g / 151 g/mol
Number of moles ≈ 0.026 mol
Now, we need to convert the number of moles to molecules. Since 1 mole contains 6.022 x 10^23 molecules (Avogadro's number), we can find the number of molecules of vanillin:
Number of molecules = Number of moles x Avogadro's number
Number of molecules ≈ 0.026 mol x (6.022 x 10^23 molecules/mol)
Number of molecules ≈ 1.567 x 10^22 molecules
So, there are approximately 1.567 x 10^22 molecules of vanillin in 1 teaspoon (5 mL) of vanilla extract. That's a whole lot of flavor!
To calculate the number of molecules of vanillin in 1 tsp (5 mL) of vanilla extract, we need to follow these steps:
Step 1: Calculate the mass of the vanilla extract in grams.
Given that the density of vanilla extract is 0.8 grams per mL and there are 5 mL, we can calculate the mass using the formula:
Mass = Density * Volume
Mass = 0.8 g/mL * 5 mL
Mass = 4 grams
Step 2: Calculate the number of moles of vanillin in the vanilla extract.
To find the number of moles, we need to divide the mass of vanillin by its molar mass. The molecular weight of vanillin is 151 grams per mole.
Moles = Mass / Molar mass
Moles = 4 grams / 151 g/mol
Moles ≈ 0.0265 mol
Step 3: Calculate the number of molecules.
To find the number of molecules, we need to multiply the number of moles by Avogadro's number, which is approximately 6.022 × 10^23 molecules/mol.
Number of molecules = Moles * Avogadro's number
Number of molecules = 0.0265 mol * 6.022 × 10^23 molecules/mol
Number of molecules ≈ 1.5953 × 10^22 molecules
Therefore, there are approximately 1.5953 × 10^22 molecules of vanillin in 1 tsp (5 mL) of vanilla extract.
To determine the number of molecules of vanillin in 1 tsp (5 mL) of vanilla extract, we need to follow these steps:
1. Convert the given volume from tsp (teaspoon) to mL (milliliters). Since 1 tsp is equal to approximately 4.92 mL, we can approximate it to 5 mL.
2. Calculate the mass of the vanilla extract in grams.
Density = Mass / Volume
Rearranging the formula, Mass = Density * Volume
Mass = 0.8 g/mL * 5 mL = 4 grams
3. Determine the number of moles of vanillin.
Number of moles = Mass / Molecular weight
Number of moles = 4 g / 151 g/mol = 0.0265 moles
4. Use Avogadro's number to calculate the number of molecules.
To find the number of molecules, multiply the number of moles by Avogadro's number (6.022 x 10^23).
Number of molecules = Number of moles * Avogadro's number
Number of molecules = 0.0265 moles * (6.022 x 10^23 molecules/mole)
Number of molecules ≈ 1.59 x 10^22 molecules
Therefore, there are approximately 1.59 x 10^22 vanillin molecules in 1 tsp (5 mL) of vanilla extract.
1tsp * 5mL/tsp * 0.8g/1mL * 1mole/151g * 6.023*10^23molecules/mole
= 6.38 * 10^20 molecules