Answer :
Sure! Let's find the mass in grams of 169 moles of [tex]\( CF_4 \)[/tex].
1. Identify the elements in [tex]\( CF_4 \)[/tex]: The compound [tex]\( CF_4 \)[/tex] is made up of one carbon (C) atom and four fluorine (F) atoms.
2. Know the atomic masses:
- The atomic mass of carbon (C) is 12.01 grams per mole.
- The atomic mass of fluorine (F) is 19.00 grams per mole.
3. Calculate the molar mass of [tex]\( CF_4 \)[/tex]:
- The molar mass of one carbon atom is [tex]\( 12.01 \, \text{g/mol} \)[/tex].
- The molar mass of four fluorine atoms is [tex]\( 4 \times 19.00 = 76.00 \, \text{g/mol} \)[/tex].
- So, the molar mass of [tex]\( CF_4 \)[/tex] is [tex]\( 12.01 + 76.00 = 88.01 \, \text{g/mol} \)[/tex].
4. Use the molar mass to find the total mass:
- We have 169 moles of [tex]\( CF_4 \)[/tex].
- The mass in grams is given by multiplying the number of moles by the molar mass:
[tex]\[
169 \, \text{moles} \times 88.01 \, \text{g/mol} = 14873.69 \, \text{grams}
\][/tex]
Therefore, the mass of 169 moles of [tex]\( CF_4 \)[/tex] is 14,873.69 grams.
1. Identify the elements in [tex]\( CF_4 \)[/tex]: The compound [tex]\( CF_4 \)[/tex] is made up of one carbon (C) atom and four fluorine (F) atoms.
2. Know the atomic masses:
- The atomic mass of carbon (C) is 12.01 grams per mole.
- The atomic mass of fluorine (F) is 19.00 grams per mole.
3. Calculate the molar mass of [tex]\( CF_4 \)[/tex]:
- The molar mass of one carbon atom is [tex]\( 12.01 \, \text{g/mol} \)[/tex].
- The molar mass of four fluorine atoms is [tex]\( 4 \times 19.00 = 76.00 \, \text{g/mol} \)[/tex].
- So, the molar mass of [tex]\( CF_4 \)[/tex] is [tex]\( 12.01 + 76.00 = 88.01 \, \text{g/mol} \)[/tex].
4. Use the molar mass to find the total mass:
- We have 169 moles of [tex]\( CF_4 \)[/tex].
- The mass in grams is given by multiplying the number of moles by the molar mass:
[tex]\[
169 \, \text{moles} \times 88.01 \, \text{g/mol} = 14873.69 \, \text{grams}
\][/tex]
Therefore, the mass of 169 moles of [tex]\( CF_4 \)[/tex] is 14,873.69 grams.
