A solution of ammonia and water contains 3.80×1025 water molecules and 5.80×1024 ammonia molecules. How many total hydrogen atoms are in this solution?

To determine the total number of hydrogen atoms in the solution, we need to consider the number of hydrogen atoms in both water and ammonia molecules.

Water (H2O) contains two hydrogen atoms, whereas ammonia (NH3) contains three hydrogen atoms.

To find the total number of hydrogen atoms in the water molecules, we multiply the number of water molecules by the number of hydrogen atoms in each molecule. Similarly, to find the total number of hydrogen atoms in the ammonia molecules, we multiply the number of ammonia molecules by the number of hydrogen atoms in each molecule.

For the water molecules:
Number of hydrogen atoms in one water molecule = 2
Number of water molecules = 3.80×10^25

Total number of hydrogen atoms in water = 2 × 3.80×10^25

For the ammonia molecules:
Number of hydrogen atoms in one ammonia molecule = 3
Number of ammonia molecules = 5.80×10^24

Total number of hydrogen atoms in ammonia = 3 × 5.80×10^24

Finally, we can find the total number of hydrogen atoms in the solution by summing the number of hydrogen atoms in water and ammonia:
Total number of hydrogen atoms = Total number of hydrogen atoms in water + Total number of hydrogen atoms in ammonia

Therefore, the number of total hydrogen atoms in the solution is:
2 × 3.80×10^25 + 3 × 5.80×10^24

To calculate the total number of hydrogen atoms in the solution, we need to multiply the number of water molecules by the number of hydrogen atoms per water molecule, and then multiply the number of ammonia molecules by the number of hydrogen atoms per ammonia molecule. Finally, we add these two values together.

Number of hydrogen atoms in water molecule (H2O):
Since each water molecule has two hydrogen atoms, we multiply the number of water molecules by 2.

Number of hydrogen atoms in ammonia molecule (NH3):
Since each ammonia molecule has three hydrogen atoms, we multiply the number of ammonia molecules by 3.

Calculation:
Number of hydrogen atoms in water = (3.80×10^25) × 2
Number of hydrogen atoms in ammonia = (5.80×10^24) × 3

Total number of hydrogen atoms = Number of hydrogen atoms in water + Number of hydrogen atoms in ammonia

Now, let's calculate the total number of hydrogen atoms step-by-step:

Number of hydrogen atoms in water = (3.80×10^25) × 2 = 7.60×10^25 hydrogen atoms

Number of hydrogen atoms in ammonia = (5.80×10^24) × 3 = 1.74×10^25 hydrogen atoms

Total number of hydrogen atoms = 7.60×10^25 + 1.74×10^25 = 9.34×10^25 hydrogen atoms

Therefore, there are 9.34×10^25 hydrogen atoms in the solution.

3.80E25 H2O molecules x 2 = # H atoms in water molecules.

5.80E24 NH4 molecules x 4 = # H atoms in NH3 molecules.

Sum is total H atoms in both sets of molecules.