A sample of glucose, C6H12O6, contains 5.1x10623. a.)How many atoms of hydrogen does it contain? b.)How many molecules of glucose does it contain? please help me. :(
5.1 x 10623 what? Is that 10^623 or did you intend 10^23.
For b do you mean how many mols?
To find the number of atoms of hydrogen and molecules of glucose in the given sample of glucose, we will use Avogadro's number and the molecular formula of glucose.
Avogadro's number is 6.022 x 10^23, and it represents the number of entities (atoms, molecules, etc.) in one mole of a substance.
a.) To find the number of hydrogen atoms, we need to determine the ratio of hydrogen atoms to glucose molecules in the molecular formula of glucose (C6H12O6). In one molecule of glucose, we have 12 hydrogen atoms.
So, using the given total number of entities (5.1 x 10^23) in the sample, we can calculate the number of hydrogen atoms as follows:
Number of hydrogen atoms = (Total number of entities) x (Number of hydrogen atoms in one molecule of glucose) / (Number of entities in one mole of glucose)
Number of hydrogen atoms = 5.1 x 10^23 x 12 / (6.022 x 10^23)
Simplifying the calculation, we get:
Number of hydrogen atoms = (5.1 x 12) / 6.022 ≈ 10.65 x 10^23 ≈ 1.065 x 10^24
Therefore, the sample of glucose contains approximately 1.065 x 10^24 atoms of hydrogen.
b.) To find the number of molecules of glucose, we divide the given total number of entities by Avogadro's number, which gives us the number of moles of glucose. Since one mole of any substance contains Avogadro's number of entities, we can convert the moles to molecules by multiplying by Avogadro's number.
Number of molecules of glucose = (Total number of entities) / (Avogadro's number)
Number of molecules of glucose = 5.1 x 10^23 / 6.022 x 10^23 ≈ 0.846 moles of glucose
Since we cannot have a fraction of a molecule, we can approximate the number of molecules to the nearest whole number. Therefore, the sample of glucose contains approximately 1 molecule of glucose.
In summary,
a.) The sample of glucose contains approximately 1.065 x 10^24 atoms of hydrogen.
b.) The sample of glucose contains approximately 1 molecule of glucose.