How many moles are in 12.64 grams of carbon dioxide ?

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Solution

Answer
There are 0.2872 mol $C O_{2}$ in 12.64 g $C O_{2}$
Explanation :
Divide the given mass of $C O_{2}$ by its molar mass (M). The molar mass of $C O_{2}$ is determined by multiplying the subscript of each element by its molar mass and adding them. The molar mass of an element is its atomic weight on the periodic table in g/mol.
$M_{C O_{2}} = (1 \times 12.011 g / m o l C) + (2 \times 15.999 g / m o l O) = 44.009 g / m o l$
Since molar mass is a fraction $(\frac{g}{m o l})$ we can divide by multiplying by the reciprocal of the molar mass $(\frac{m o l}{g})$
$12.64 g C O_{2} \times \frac{1 m o l C O_{2}}{44.009 g C O_{2}} = 0.2872 m o l C O_{2}$

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