3.6 × 10^24 molecules
Concept: Moles and Avogadro's number
In this case;
We are given 6 moles of Methane;
But 1 mole of methane = 6.022 × 10^23 molecules
Therefore;
Molecules = Number of moles × Avogadro's number
= 6 moles × 6.022 × 10^23 molecules/mole
= 3.613 × 10^24 molecules
= 3.6× 10^24 molecules
Thus, there are 3.6× 10^24 molecules in 6 moles of methane.