how many atoms of carbon in 18 grams of C3H8o
To calculate the number of atoms of carbon in 18 grams of C3H8O, you'll need to follow these steps:
Step 1: Determine the molar mass of C3H8O
The molar mass is the sum of the atomic masses of each element in a compound. Let's calculate the molar mass of C3H8O:
C (Carbon) has an atomic mass of 12.01 g/mol
H (Hydrogen) has an atomic mass of 1.01 g/mol
O (Oxygen) has an atomic mass of 16.00 g/mol
Molar mass of C3H8O = (3 * C) + (8 * H) + (1 * O)
= (3 * 12.01) + (8 * 1.01) + (1 * 16.00)
= 36.03 + 8.08 + 16.00
= 60.11 g/mol
Step 2: Calculate the number of moles of C3H8O
To find the number of moles, divide the mass of the compound (18 grams) by its molar mass (60.11 g/mol):
Number of moles = Mass / Molar Mass
= 18 g / 60.11 g/mol
= 0.2996 moles
Step 3: Determine the number of atoms of carbon
In C3H8O, the ratio of carbon (C) to C3H8O is 3:1. This means that for every 3 moles of C3H8O, there is 1 mole of carbon. Therefore, 1 mole of C3H8O contains 3 moles of carbon.
Number of moles of carbon = 1/3 * Number of moles of C3H8O
= 1/3 * 0.2996 moles
= 0.0999 moles
Step 4: Calculate the number of atoms of carbon
To get the number of atoms, multiply the number of moles by Avogadro's number, which is approximately 6.022 x 10^23:
Number of atoms = Number of moles * Avogadro's number
= 0.0999 moles * 6.022 x 10^23 atoms/mole
= 6.015 x 10^22 atoms
So, there are approximately 6.015 x 10^22 atoms of carbon in 18 grams of C3H8O.