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Problem solving strategy:
Remember that CH4 is a molecular compound, thus 1 mole of methane will have 6.022 x 1023 molecules. Similarly, SO2, is a molecular compound its one mole will also have 6.022 x 1023 molecules.
Solution:
(a) 1 mole of CH4 contains = 6.022 x 1023 molecules
So, 0.5 moles of CH4 will contain = 6.022 x 1023 x 0.5 = 3.011 x 1023 molecules
(b) 1 mole of SO2 contains = 6.022 x 1023 molecules
So, 0.25 moles of SO2 will contain = 6.022 x 1023 x0.25 = 1.5055 x 1023 molecules