How many grams of carbon are present in 0.25 moles of carbon dioxide ($CO_2$)?
Understand the Problem
The question asks to calculate the mass of carbon present in a given number of moles of carbon dioxide. We will use the molar mass of carbon and stoichiometry to solve this problem.
Answer
60.05 g
Answer for screen readers
$60.05$ g
Steps to Solve
- Identify the molar mass of Carbon
The molar mass of carbon (C) is approximately 12.01 g/mol.
- Determine the moles of Carbon in $CO_2$
In one molecule of carbon dioxide ($CO_2$), there is one atom of carbon (C). Therefore, 1 mole of $CO_2$ contains 1 mole of C.
- Calculate the moles of Carbon in 5 moles of $CO_2$
Since 1 mole of $CO_2$ contains 1 mole of C, 5 moles of $CO_2$ will contain 5 moles of C.
- Calculate the mass of Carbon
To find the mass of carbon, multiply the number of moles of carbon by its molar mass:
$$ \text{Mass of C} = \text{Moles of C} \times \text{Molar mass of C} $$
$$ \text{Mass of C} = 5 \text{ moles} \times 12.01 \text{ g/mol} $$
$$ \text{Mass of C} = 60.05 \text{ g} $$
$60.05$ g
More Information
The mass of carbon present in 5 moles of carbon dioxide ($CO_2$) is $60.05$ grams. This calculation is based on the stoichiometry of the compound and the molar mass of carbon.
Tips
A common mistake is to use the molar mass of $CO_2$ instead of the molar mass of just carbon. Remember to only consider the carbon atoms when calculating the mass of carbon.
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