Questions: How many grams of CO2 are in 3.6 moles of CO2?

Solution Steps

The molar mass of carbon dioxide (CO\(_2\)) is calculated by adding the atomic masses of carbon (C) and oxygen (O). The atomic mass of carbon is approximately 12.01 g/mol, and the atomic mass of oxygen is approximately 16.00 g/mol. Since there are two oxygen atoms in CO\(_2\), the molar mass is:

\[ \text{Molar mass of CO}_2 = 12.01 \, \text{g/mol} + 2 \times 16.00 \, \text{g/mol} = 44.01 \, \text{g/mol} \]

To find the mass of 3.6 moles of CO\(_2\), multiply the number of moles by the molar mass:

\[ \text{Mass of CO}_2 = 3.6 \, \text{moles} \times 44.01 \, \text{g/mol} = 158.436 \, \text{g} \]

The calculated mass of CO\(_2\) is 158.436 g. Rounding this to four significant digits gives:

\[ 158.4 \, \text{g} \]

Final Answer