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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?
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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