Sure, let's work through this problem step-by-step to find out how many moles of carbon are in 5.2 moles of [tex]\( C_7H_{18} \)[/tex].
1. Identify the number of carbon atoms in one molecule of [tex]\( C_7H_{18} \)[/tex]:
- The chemical formula [tex]\( C_7H_{18} \)[/tex] tells us that each molecule of heptane (C7H18) contains 7 carbon atoms.
2. Determine the total number of moles of carbon:
- If you have 1 mole of [tex]\( C_7H_{18} \)[/tex], you would have 7 moles of carbon atoms because each molecule contains 7 carbon atoms.
- Therefore, if you have 5.2 moles of [tex]\( C_7H_{18} \)[/tex], you can calculate the moles of carbon by multiplying the moles of [tex]\( C_7H_{18} \)[/tex] by the number of carbon atoms in each molecule.
3. Calculate the total moles of carbon:
- Total moles of carbon [tex]\( = 5.2 \text{ moles of } C_7H_{18} \times 7 \text{ carbon atoms per molecule} \)[/tex]
So, the total moles of carbon [tex]\( = 5.2 \times 7 = 36.4 \text{ moles} \)[/tex].
Therefore, there are 36.4 moles of carbon in 5.2 moles of [tex]\( C_7H_{18} \)[/tex].
