Q. 435.0( 2 Votes )

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 :

Number of molecules of methane (CH4) = 1.5 ×1020

Mass of 1 mole of CH4 = 16 g


Mass of 1 mole of ethane (C2H6) = 30g


1 mole of substances contains 6.022 X 1023 molecules.


Thus, the mass of 6.022 X 1023 molecules of CH4 = 16 g


Thus, the mass of 1.5 ×1020 molecules of methane = 1.5 ×1020 × 16/ 6.022 X 1023


= 3.98 x 10-3g


Mass of molecules of C2H6 is = Mass of CH4(given)


Mass of 6.022 X 1023 molecules of C2H6 = 30g


Therefore, 3.98 x 10-3g of ethane will contain = 6.022 x 1023 x 3.98 x 10-3 / 30


= 0.8 × 1020 molecules


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