As a sample of propane C3H3 contains 14.8 moles of carbon atoms. How many totals moles of atoms does the sample contains?
You made a typo. Propane is C3H8 (not C3H3). If it contains 14.8 moles C atoms, it must contain 14.8 x (8/3) moles H atoms. Another way to look at it is that if you had 14.3 moles C atoms, you must have had 14.3/3 moles C3H8 molecules (whatever that number is), then you had 8 times that value of H atoms.
To determine the total number of moles of atoms in the sample, we need to know the molecular formula of propane (C3H8), which indicates the number of atoms present in one molecule of propane.
Propane, with the molecular formula C3H8, contains 3 carbon atoms (C) and 8 hydrogen atoms (H).
Given that the sample contains 14.8 moles of carbon atoms, it means that we have 14.8 moles of carbon atoms * 3 atoms per mole = 44.4 moles of carbon atoms.
Since propane has 3 carbon atoms and 8 hydrogen atoms, the total number of atoms in the sample is 44.4 moles of carbon atoms + 14.8 moles of carbon atoms * 8 atoms per mole = 158.8 moles of atoms in total.
Therefore, the sample contains a total of 158.8 moles of atoms.
To find the total moles of atoms in the sample, we need to determine the number of moles of hydrogen atoms in addition to the number of moles of carbon atoms already provided.
Let's start by analyzing the chemical formula of propane: C3H8. This indicates that there are three carbon atoms (C3) and eight hydrogen atoms (H8) in one molecule of propane.
Given that the sample contains 14.8 moles of carbon atoms, we can use this information to calculate the number of moles of propane present.
Since there are three carbon atoms in one molecule of propane, the number of moles of propane is given by:
Number of moles of propane = Number of moles of carbon / Number of carbon atoms in one molecule of propane
Number of moles of propane = 14.8 moles / 3
Number of moles of propane ≈ 4.93 moles
Now, to calculate the total number of moles of atoms in the sample, we need to consider the number of moles of hydrogen atoms. Since there are eight hydrogen atoms in one molecule of propane and we have found the number of moles of propane to be approximately 4.93 moles, we can calculate the number of moles of hydrogen atoms as follows:
Number of moles of hydrogen = Number of moles of propane × Number of hydrogen atoms in one molecule of propane
Number of moles of hydrogen = 4.93 moles × 8
Number of moles of hydrogen ≈ 39.44 moles
To find the total number of moles of atoms in the sample, we add the number of moles of carbon atoms to the number of moles of hydrogen atoms:
Total number of moles of atoms = Number of moles of carbon + Number of moles of hydrogen
Total number of moles of atoms = 14.8 moles + 39.44 moles
Total number of moles of atoms ≈ 54.24 moles
Therefore, the sample contains approximately 54.24 moles of atoms in total.