#1) how many atoms are represented by 2.0 mol of carbon? I think 12.01 x 10^23

#2) Calculate the # of atoms of each element present in 3.67 mol of H^2SO^4...I have no idea how to do this one?

#1) Your answer is OK. It can be rewritten as 1.201x10^24 carbon atoms.

#2) If you have 3.67 mol H2SO4,

mols of hydrogen=(3.67)(2)=?
mols of sulfur=(3.67)(1)=?
mols of oxygen=(3.67)(4)=?

Multiply each of the answers above by Avogadro's number, 6.02x10^23.