Answer: The mass of carbon in given amount of carvone is 47.52 grams
Explanation:
To calculate the number of moles, we use the equation:
[tex]\text{Number of moles}=\frac{\text{Given mass}}{\text{Molar mass}}[/tex] .....(1)
Given mass of carvone = 55.4 g
Molar mass of carvone = 150.22 g/mol
Putting values in equation 1, we get:
[tex]\text{Moles of carvone}=\frac{55.4g}{150.22g/mol}=0.369mol[/tex]
The chemical formula of carvone is [tex]C_{10}H_{14}O[/tex]
This contains 10 moles of carbon atom, 14 moles of hydrogen atom and 1 mole of oxygen atom
Now, calculating the mass of carbon in carvone from equation 1, we get:
Molar mass of carbon = 12 g/mol
Moles of carbon = (10 × 0.396) = 3.96 moles
Putting values in equation 1, we get:
[tex]3.96mol=\frac{\text{Mass of carbon}}{12g/mol}\\\\\text{Mass of carbon}=(3.96mol\times 12g/mol)=47.52g[/tex]
Hence, the mass of carbon in given amount of carvone is 47.52 grams