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To find the mass percent of carbon in carbon dioxide (CO2CO2), we need to calculate the mass of carbon in one molecule of carbon dioxide and then express it as a percentage of the total mass of carbon dioxide.
The molecular formula of carbon dioxide is CO2CO2. It contains one atom of carbon (C) and two atoms of oxygen (O).
The atomic mass of carbon (C) is approximately 12.01 g/mol, and the atomic mass of oxygen (O) is approximately 16.00 g/mol.
Therefore, the molar mass of CO2CO2 can be calculated as:
Molar mass of CO2=1×Molar mass of C+2×Molar mass of OMolar mass of CO2=1×Molar mass of C+2×Molar mass of O Molar mass of CO2=1×12.01 g/mol+2×16.00 g/molMolar mass of CO2=1×12.01g/mol+2×16.00g/mol Molar mass of CO2=12.01 g/mol+32.00 g/molMolar mass of CO2=12.01g/mol+32.00g/mol Molar mass of CO2=44.01 g/molMolar mass of CO2=44.01g/mol
The mass percent of carbon in CO2CO2 can be calculated using the formula:
Mass percent of carbon=Mass of carbonTotal mass of CO2×100Mass percent of carbon=Total mass of CO2Mass of carbon×100
Mass percent of carbon=12.01 g/mol44.01 g/mol×100Mass percent of carbon=44.01g/mol12.01g/mol×100
Mass percent of carbon≈12.0144.01×100≈27.27%Mass percent of carbon≈44.0112.01×100≈27.27%
So, the correct answer is:
(b) 27.27%
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