<u>Answer:</u> The mass of carbon in given amount of carvone is 47.52 grams
<u>Explanation:</u>
To calculate the number of moles, we use the equation:
.....(1)
Given mass of carvone = 55.4 g
Molar mass of carvone = 150.22 g/mol
Putting values in equation 1, we get:
![\text{Moles of carvone}=\frac{55.4g}{150.22g/mol}=0.369mol](https://tex.z-dn.net/?f=%5Ctext%7BMoles%20of%20carvone%7D%3D%5Cfrac%7B55.4g%7D%7B150.22g%2Fmol%7D%3D0.369mol)
The chemical formula of carvone is ![C_{10}H_{14}O](https://tex.z-dn.net/?f=C_%7B10%7DH_%7B14%7DO)
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:
![3.96mol=\frac{\text{Mass of carbon}}{12g/mol}\\\\\text{Mass of carbon}=(3.96mol\times 12g/mol)=47.52g](https://tex.z-dn.net/?f=3.96mol%3D%5Cfrac%7B%5Ctext%7BMass%20of%20carbon%7D%7D%7B12g%2Fmol%7D%5C%5C%5C%5C%5Ctext%7BMass%20of%20carbon%7D%3D%283.96mol%5Ctimes%2012g%2Fmol%29%3D47.52g)
Hence, the mass of carbon in given amount of carvone is 47.52 grams