NCERT Exemplar XXXVI — task. Science CBSE, Class 9.

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Answer the following question in a few sentences:

A sample of ethane (

$C_2H_6$ ) gas has the same mass as

$1.5 × 10^2{^0}$ molecules of methane (

$CH_4$ ).

How many

$C_2H_6$ molecules does the sample of gas contain?

Mass of 1 molecule of

$CH_4$ = g /

$N_A$ .

Mass of

$1.5$ ×

$10^2{^0}$ molecules of methane =

$1.5$ ×

$10^2{^0}$ x 16 /

$N_A$ g.

Mass of 1 molecule of

$C_2H_6$ = g /

$N_A$ .

Mass of molecules of

$C_2H_6$ is =

$1.5$ ×

$10^2{^0}$ x 16 /

$N_A$ g.

∴ Number of molecules of ethane = ×

$10^2{^0}$ x 16 /

$N_A$ x

$N_A$ / .

= ×

$10^2{^0}$ .

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