Calculate the number of carbon atoms in
0.75 L of acetone (CH3COCH3). (density
= 1.3 g/mL and boiling point = 48.5 degrees Celsius)
3.03 x 10^25
gracias muchachos
Use the density to calculate mass acetone (mass = volume x density), convert mass to moles (moles = grams/molar mass). Remember there are 6.022E23 molecules in a mole (to calculate number of acetone molecules). Finally, there are three C atoms per molecule acetone.
To calculate the number of carbon atoms in 0.75 L of acetone (CH3COCH3), we need to follow a series of steps:
Step 1: Calculate the mass of acetone.
To find the mass of acetone, we can use its density and volume. The formula we need is:
Mass = Density × Volume
Given that the density of acetone is 1.3 g/mL and the volume is 0.75 L:
Mass = 1.3 g/mL × 0.75 L
Step 2: Convert the mass of acetone to moles.
The molar mass of acetone can be calculated by adding the atomic masses of all the atoms in the compound. The atomic masses of carbon (C), hydrogen (H), and oxygen (O) are approximately 12 g/mol, 1 g/mol, and 16 g/mol, respectively.
The molar mass of acetone (CH3COCH3) is:
Molar Mass = (4 × Molar Mass of H) + (3 × Molar Mass of C) + (1 × Molar Mass of O)
= (4 × 1 g/mol) + (3 × 12 g/mol) + (1 × 16 g/mol)
Now, using the molar mass, we can calculate the number of moles of acetone:
Moles of Acetone = Mass of Acetone / Molar Mass of Acetone
Step 3: Determine the number of moles of carbon atoms.
Since each molecule of acetone (CH3COCH3) contains three carbon atoms, the number of moles of carbon atoms will be three times the number of moles of acetone.
Number of Moles of Carbon Atoms = 3 × Moles of Acetone
Step 4: Calculate the number of carbon atoms.
To find the number of carbon atoms, we need to use Avogadro's number, which is approximately 6.022 × 10^23 atoms/mol.
Number of Carbon Atoms = Number of Moles of Carbon Atoms × Avogadro's Number
Let's perform the calculations now:
Step 1: Calculate the mass of acetone.
Mass = 1.3 g/mL × 0.75 L = 0.975 g
Step 2: Convert the mass of acetone to moles.
Molar Mass = (4 × 1 g/mol) + (3 × 12 g/mol) + (1 × 16 g/mol)
= 58 g/mol
Moles of Acetone = 0.975 g / 58 g/mol
Step 3: Determine the number of moles of carbon atoms.
Number of Moles of Carbon Atoms = 3 × Moles of Acetone
Step 4: Calculate the number of carbon atoms.
Number of Carbon Atoms = Number of Moles of Carbon Atoms × Avogadro's Number
By following these steps, you should be able to calculate the number of carbon atoms in 0.75 L of acetone.