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Question 43
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?

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Solution

Avagadro Number, NA=6.022×1023 atoms/ions/molecules
Mass of 1 molecule of CH4=16gNA
Mass of 1.5×1020 molecules of methane = 1.5×1020×16NAg
Mass of 1 molecule of C2H6 is = 30NAg
Mass of molecules of C2H6=1.5×1020×16NAg
Number of molecules of ethane 1.5×1020×16NA×NA30=0.8×1020

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