To determine the number of hydrogen atoms in one mole of ammonium nitrate ([tex]\(NH_4NO_3\)[/tex]), we proceed with the following steps:
1. Identify the number of hydrogen atoms per molecule of [tex]\(NH_4NO_3\)[/tex]:
- Ammonium nitrate ([tex]\(NH_4NO_3\)[/tex]) has a chemical formula that indicates it consists of one ammonium ion ([tex]\(NH_4^+\)[/tex]) and one nitrate ion ([tex]\(NO_3^-\)[/tex]).
- The ammonium ion ([tex]\(NH_4^+\)[/tex]) contains 4 hydrogen atoms.
2. Determine the number of hydrogen atoms in one mole of ammonium nitrate:
- Since one mole of ammonium nitrate contains 4 moles of hydrogen atoms, we know that each mole of ammonium nitrate ([tex]\(NH_4NO_3\)[/tex]) corresponds to 4 moles of hydrogen atoms.
3. Use Avogadro's number to find the total number of hydrogen atoms:
- Avogadro's number ([tex]\(6.022 \times 10^{23}\)[/tex]) tells us the number of atoms or molecules in one mole of a substance.
- To determine the total number of hydrogen atoms, we multiply the number of moles of hydrogen atoms (which is 4) by Avogadro's number.
[tex]\[
\text{Total number of hydrogen atoms} = 4 \times 6.022 \times 10^{23}
\][/tex]
4. Calculate the total number of hydrogen atoms:
- Performing the multiplication, we get:
[tex]\[
\text{Total number of hydrogen atoms} = 2.4088 \times 10^{24}
\][/tex]
Therefore, the number of hydrogen atoms present in one mole of ammonium nitrate ([tex]\(NH_4NO_3\)[/tex]) is [tex]\(2.41 \times 10^{24}\)[/tex], matching option C.
Final Answer:
C. [tex]\(2.41 \times 10^{24}\)[/tex] atoms
