Calculate the number of C atoms, H atoms, and O atoms, in 1.50 grams of glucose (C6H1206).
I do not understand how to calculate this. Please explain and post the correct answers.
To calculate the number of atoms in a given mass of a substance, we need to use the concept of moles.
Step 1: Calculate the molar mass of glucose (C6H12O6). To do this, we sum up the atomic masses of all the atoms in one molecule of glucose.
C6H12O6:
C: 6 atoms x atomic mass of carbon (C) = 6 x 12.01 g/mol = 72.06 g/mol
H: 12 atoms x atomic mass of hydrogen (H) = 12 x 1.01 g/mol = 12.12 g/mol
O: 6 atoms x atomic mass of oxygen (O) = 6 x 16.00 g/mol = 96.00 g/mol
So, the molar mass of glucose is:
72.06 g/mol (C) + 12.12 g/mol (H) + 96.00 g/mol (O) = 180.18 g/mol
Step 2: Convert the given mass of glucose (1.50 grams) to moles using its molar mass.
Number of moles = Mass / Molar mass
Number of moles = 1.50 g / 180.18 g/mol = 0.00832 moles
Step 3: Use the mole ratio from the chemical formula of glucose to determine the number of atoms of each element.
C6H12O6:
6 carbon (C) atoms x 0.00832 moles = 0.0499 moles of C atoms
12 hydrogen (H) atoms x 0.00832 moles = 0.0998 moles of H atoms
6 oxygen (O) atoms x 0.00832 moles = 0.0499 moles of O atoms
Step 4: Convert the moles of each element to the number of atoms.
1 mole of any substance contains 6.022 x 10^23 atoms (Avogadro's number).
Number of atoms = Number of moles x Avogadro's number
Number of C atoms = 0.0499 moles x 6.022 x 10^23 atoms/mole = 3.00 x 10^22 C atoms
Number of H atoms = 0.0998 moles x 6.022 x 10^23 atoms/mole = 6.02 x 10^22 H atoms
Number of O atoms = 0.0499 moles x 6.022 x 10^23 atoms/mole = 3.00 x 10^22 O atoms
Therefore, in 1.50 grams of glucose (C6H12O6), there are approximately:
3.00 x 10^22 C atoms
6.02 x 10^22 H atoms
3.00 x 10^22 O atoms
I showed you how to do this earlier. Here is a link. We don't do all of your work for you but we try to help you understand the problem. Rather than posting a note to post the correct answer, it would be far better, if you still don't understand, to follow the instructions as given, then tell us what you don't understand about the next step.
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