The Number of Hydrogen Atoms in 25.6 g of Sucrose

To find the number of hydrogen atoms present in 25.6 g of sucrose, we need to follow these steps:

Step 1: Determine the Molar Mass of Sucrose
Sucrose has a molar mass of 342.3 g/mol. This means that for every mole of sucrose, there are 342.3 grams of sucrose.

Step 2: Convert grams of Sucrose to Moles
To convert grams of sucrose to moles, we can use the formula:

Moles = Mass / Molar Mass

In this case, the mass is 25.6 g and the molar mass is 342.3 g/mol. Plugging these values into the formula, we get:

Moles = 25.6 g / 342.3 g/mol
Moles = 0.0748 mol

So, 25.6 g of sucrose is equal to 0.0748 moles of sucrose.

Step 3: Use Avogadro's Number to Find the Number of Hydrogen Atoms
Avogadro's number (6.022 x 10^23) represents the number of particles (atoms, molecules, etc.) in one mole of a substance. Since we have determined that there are 0.0748 moles of sucrose, we can multiply this by Avogadro's number to find the number of molecules of sucrose.

Number of Molecules = Moles of Sucrose x Avogadro's Number
Number of Molecules = 0.0748 mol x 6.022 x 10^23/mol
Number of Molecules = 4.5 x 10^22 molecules

Step 4: Determine the Ratio of Hydrogen Atoms to Molecules of Sucrose
Sucrose has the chemical formula C12H22O11, which means there are 12 hydrogen atoms in one molecule of sucrose.

So, to find the number of hydrogen atoms in 4.5 x 10^22 molecules of sucrose, we can multiply the number of molecules by the ratio of hydrogen atoms to molecules:

Number of Hydrogen Atoms = Number of Molecules x Number of Hydrogen Atoms per Molecule
Number of Hydrogen Atoms = 4.5 x 10^22 molecules x 12 hydrogen atoms/molecule
Number of Hydrogen Atoms = 5.4 x 10^23 hydrogen atoms

Therefore, there are approximately 5.4 x 10^23 hydrogen atoms present in 25.6 g of sucrose.

(22/14)×6.022×10^23 atoms