A sample of C3H8 has 2.64 x 10^24 atoms.
How many carbon atoms does the sample contain?
What is the total mass of the sample?
carbon atoms: if you are given the total atoms, then 3/11 of them must be carbon
total mass: mass=molemass*numberatoms/8*1/avagradronumber
To determine the number of carbon atoms in the sample of C3H8, we need to understand its molecular formula. C3H8 represents propane, which consists of 3 carbon atoms (C) and 8 hydrogen atoms (H).
So, the sample contains 3 carbon atoms.
To find the total mass of the sample, we need to know the molar mass of propane. The molar mass is the sum of the atomic masses of all the atoms in the molecule.
The atomic masses are:
Carbon (C): 12.01 g/mol
Hydrogen (H): 1.01 g/mol
The molar mass of C3H8 is:
(3 × Carbon's atomic mass) + (8 × Hydrogen's atomic mass) = (3 × 12.01 g/mol) + (8 × 1.01 g/mol) = 36.03 g/mol + 8.08 g/mol = 44.11 g/mol
Now, to find the total mass of the sample, we multiply the molar mass by the number of moles in the sample. Since we know the number of atoms, we can use Avogadro's number (6.022 x 10^23) to determine the number of moles.
The number of moles in the sample is:
(2.64 x 10^24 atoms) ÷ (6.022 x 10^23 atoms/mol) = 4.38 moles
Finally, we can find the total mass of the sample by multiplying the molar mass with the number of moles:
Total mass = (molar mass) × (number of moles) = 44.11 g/mol × 4.38 moles = 193.03 g (rounded to two decimal places)
Therefore, the total mass of the C3H8 sample is 193.03 grams.
To figure out how many carbon atoms the sample contains, we need to know the molecular formula of C3H8. In this case, C3H8 stands for 3 carbon atoms and 8 hydrogen atoms.
The molecular formula tells us the ratio of atoms in a molecule. Here, the ratio is 3 carbon atoms to 1 molecule. Therefore, every molecule of C3H8 contains 3 carbon atoms.
To find the number of carbon atoms in the sample, we need to divide the total number of atoms by the ratio of carbon atoms in each molecule.
Number of carbon atoms = (total number of atoms) / (ratio of carbon atoms per molecule)
In this case, the total number of atoms is given as 2.64 x 10^24 atoms.
Number of carbon atoms = (2.64 x 10^24) / 3
Now we can calculate the number of carbon atoms the sample contains.
For the total mass of the sample, we need to know the molar mass of C3H8. The molar mass is the mass of one mole of a substance.
The molar mass of C3H8 can be calculated by summing up the atomic masses of each element in the molecular formula. The atomic mass of carbon (C) is approximately 12.01 g/mol, and the atomic mass of hydrogen (H) is approximately 1.01 g/mol.
Molar mass of C3H8 = (3 x atomic mass of carbon) + (8 x atomic mass of hydrogen)
Now we can calculate the total mass of the sample by multiplying the molar mass by the number of moles of C3H8.
Total mass of the sample = (molar mass of C3H8) x (number of moles)
To find the number of moles, we need to divide the total number of atoms by Avogadro's number (6.022 x 10^23 atoms/mol), which gives us the number of moles in the sample.
Number of moles = (total number of atoms) / (Avogadro's number)
Finally, we can substitute the values and calculate the total mass of the sample.