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Q.

$22.4 L {CH}_{4}$ at 1 atm and $273 K$ was thought to have mass $16 g$ but when weighed experimentally it was found to have $17.5 g$ due to the presence of carbon-14. Calculate $%$ of carbon atom having atomic mass ' 14 '.

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answer is 75.

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Detailed Solution

Let x is the carbon atom having atomic mass '14. Thus

$\begin{array}{l} 17.5 = x \times 18 + (1 - x) \times 16 \\ \Rightarrow x = 0.75 \end{array}$
or $75 %$

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22.4L CH4 at 1 atm and 273 K was thought to have mass 16 g but when weighed experimentally it was found to have 17.5 g due to the presence of carbon-14. Calculate % of carbon atom having atomic mass ' 14 '.