Please help me solve this and show me how you got the answer? Thank you.

Question

I have 3.4 moles of Mg(CN)2. How many total moles of carbon atoms do I have?

Answer 1

the definition of a mole is the atomic weight of a compound in grams

 

in this case, Mg = 24.3, C = 12.0, N = 14.0

 

for the compound Mg(CN)₂, the atomic weight will be 24 + (12*2) + (14*2) = 76.3g/mole

the amount of Carbon = 24/76.3 = 0.31 or 31%

 

you have 3.4moles of Mg(CN)₂

76.3g/mole * 3.4moles = 259.4g

the total amount of Carbon = 259.4g * 0.31 = 80.4g

80.4g/12g/mole = 6.7moles of Carbon