How many acetone molecules are present in a bottle of acetone with a volume of 325ml and density of acetone .788g/cm
To find the number of acetone molecules present in a bottle, we need to follow these steps:
1. Calculate the mass of acetone in the bottle:
Mass = Volume x Density
First, convert the volume from milliliters (ml) to cubic centimeters (cm³):
Volume = 325 ml = 325 cm³
Now, plug in the values:
Mass = 325 cm³ x 0.788 g/cm³
2. Convert the mass of acetone to moles:
To do this, we need to know the molar mass of acetone, which is 58.08 g/mol.
Moles = Mass / Molar mass of acetone
Moles = (325 cm³ x 0.788 g/cm³) / 58.08 g/mol
3. Finally, calculate the number of molecules:
One mole of any substance contains 6.022 x 10^23 molecules (Avogadro's number).
Molecules = Moles x Avogadro's number
Let's work out the calculations:
Step 1: Mass calculation
Volume = 325 cm³
Density = 0.788 g/cm³
Mass = 325 cm³ x 0.788 g/cm³
Step 2: Molar mass of acetone
Molar mass of acetone = 58.08 g/mol
Step 3: Moles calculation
Moles = (325 cm³ x 0.788 g/cm³) / 58.08 g/mol
Step 4: Number of molecules calculation
Molecules = Moles x Avogadro's number
By following these steps, we can determine the number of acetone molecules present in the bottle.
To determine the number of acetone molecules present in a bottle of acetone, we need additional information: the molar mass of acetone (C3H6O). With this information, we can calculate the number of moles and then convert it to the number of molecules.
The molar mass of acetone is:
C (12.01 g/mol) + H (1.01 g/mol) * 6 + O (16.00 g/mol)
Molar Mass = 58.08 g/mol
First, let's calculate the mass of the acetone in the bottle:
Density = Mass / Volume
Mass = Density * Volume
Mass = 0.788 g/cm³ * 325 cm³
Mass ≈ 256.7 g
Next, we can calculate the number of moles using the molar mass of acetone:
Number of moles = Mass / Molar Mass
Number of moles ≈ 256.7 g / 58.08 g/mol
Number of moles ≈ 4.42 mol
Finally, to convert the number of moles to the number of molecules, we use Avogadro's number:
Number of molecules = Number of moles * Avogadro's number
Avogadro's number = 6.022 x 10^23 molecules/mol
Number of molecules ≈ 4.42 mol * 6.022 x 10^23 molecules/mol
Number of molecules ≈ 2.66 x 10^24 molecules
Therefore, there are approximately 2.66 x 10^24 acetone molecules in the bottle of acetone.