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Okay, 1 mole of any substance contains 6.02x1023 representative particles. So, if you have a mole of C2H6 (ethane), you have Avogadro's number of molecules. You're asking about atoms, so if you look at the formula for ethane, you see 2 carbons and 6 hydrogens for a total of 8 atoms per molecule. Multiply Avogadro by 8 to get the total number of atoms. Then multiply by the given number of moles.
6.02x1023 x 8 (#of atoms) x 5.6 (number of moles) = 269.7x1023 = approximately 2.7x1025 atoms.
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