How many atoms of hydrogen are in a mixture of 3.49x10^23 molecules of H2O and 78.1g of CH3OH?
3,49E23 x 2 = H atom in H2O.
mols CH3OH = 78.1 g/molar mass = ?
mols H atoms = 4 x that number.
Then multiply by 6.02E23. Add H from CH3OH and H2O for total.
i dont understand your solution pls can you clarify it
To determine the number of atoms of hydrogen in the given mixture, we need to calculate the number of moles of H2O and CH3OH separately and then find the number of atoms of hydrogen in each compound. Finally, we add the two numbers together to get the total number of hydrogen atoms.
Let's start with H2O:
1. Calculate the number of moles of H2O:
Number of moles = given quantity / molar mass of H2O
The molar mass of H2O is:
(2 * atomic mass of hydrogen) + atomic mass of oxygen
(2 * 1.008 g/mol) + 16.00 g/mol = 18.02 g/mol
Given quantity = 3.49x10^23 molecules of H2O
Number of moles of H2O = (3.49x10^23) / (6.022x10^23 molecules/mol)
Number of moles of H2O = 0.5799 mol (approximately)
2. Calculate the number of atoms of hydrogen in H2O:
Each H2O molecule contains 2 atoms of hydrogen.
Number of atoms of hydrogen in H2O = 2 * number of moles of H2O
Number of atoms of hydrogen in H2O = 2 * 0.5799 mol
Number of atoms of hydrogen in H2O = 1.16x10^0 (approximately)
Now let's move on to CH3OH (methanol):
1. Calculate the number of moles of CH3OH:
Number of moles = given mass / molar mass of CH3OH
The molar mass of CH3OH is:
(1 * atomic mass of carbon) + (4 * atomic mass of hydrogen) + (1 * atomic mass of oxygen)
(12.01 g/mol) + (4 * 1.008 g/mol) + 16.00 g/mol = 32.04 g/mol
Given mass = 78.1 g
Number of moles of CH3OH = (78.1 g) / (32.04 g/mol)
Number of moles of CH3OH = 2.438 mol (approximately)
2. Calculate the number of atoms of hydrogen in CH3OH:
Each CH3OH molecule contains 4 atoms of hydrogen.
Number of atoms of hydrogen in CH3OH = 4 * number of moles of CH3OH
Number of atoms of hydrogen in CH3OH = 4 * 2.438 mol
Number of atoms of hydrogen in CH3OH = 9.752 (approximately)
Finally, we add the number of hydrogen atoms from H2O and CH3OH:
Total number of atoms of hydrogen = number of atoms of hydrogen in H2O + number of atoms of hydrogen in CH3OH
Total number of atoms of hydrogen = 1.16x10^0 + 9.752
Total number of atoms of hydrogen ≈ 10 (approximately)
Therefore, there are approximately 10 atoms of hydrogen in the given mixture.