A sample of ethane (C2H6) gas has the same mass as 1.5 ×1020 molecules of methane (CH4). How many C2H6 molecules does the sample of gas contain?

Answer:

1 mole = 6.02 x 1023 molecules of methane

1.5 x 1020 molecules of methane is

= (1.5 x 1020 x 1) ÷ (6.02 x 1023) moles

1.5 x 1020 molecules of methane = 2.49 x 10 -4 moles

Molar mass of Methane (CH4) = 12 + 1 × 4

Molar mass of CH4 = 16 g

Mass of methane = molar mass x Number of moles

= 16 x 2.49 x 10 -4

= 3.984 x 10-3 g (This is the same mass as Ethane)

Mass of ethane is

Mass of C2H6 = 12 × 2 + 1 × 6

Mass of C2H6 = 30

If 30 g of Ethane has 6.02 x 1023 molecules

3.984 x 10 -3g = (3.984 x 10-3 x 6.02 x 1023) ÷ 30

= 8 x 1019 molecules of Ethane

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