Answer: 204.2 g/mol
Explanation:
Elevation in boiling point is given by:
[tex]\Delta T_b=k_b\times m[/tex]
[tex]\Delta T_b[/tex] = Elevation in boiling point = [tex]3.68^0C/m[/tex]
[tex]k_b[/tex] = boiling point constant = [tex]3.63^0C/m[/tex]
m = molality
[tex]Molality=\frac{n\times 1000}{W_s}[/tex]
where,
n = moles of solute = [tex]\text {given mass}{\text {molar mass}}=\frac{0.207}{M}[/tex]
[tex]W_s[/tex] = weight of solvent in g = 1g
Molality =[tex]\frac{0.207\times 1000}{M\times 1g}[/tex]
Putting in the values we get,
[tex]3.68=3.63\times \frac{0.207\times 1000}{M\times 1g}[/tex]
[tex]M=204.2g/mol[/tex]
The molar mass of caryophyllene is 204.2 g/mol.
