Number of moles of caffeine = 0.0500mol
Molar mass of caffeine = 194.196g/mol
Mass of caffeine = 9.71g
Caffeine, a CNS stimulant of the methylxanthine class. It works as a cognitive enhancer, increasing alertness and attentional performance. Caffeine acts by blocking the binding of adenosine to the adenosine A₁ receptor, that enhances the release of neurotransmitter acetylcholine.
Let's assume the mass of solvent CHCl₃ ([tex]m_{CHCl_{3} }[/tex]) = 1 Kg or 1000g
To calculate the number of moles of caffeine (n):
Molality = [tex]\frac{n_{caffeine} }{m_{chloroform} }[/tex]
[tex]n_{caffeine}[/tex] = molality × [tex]m_{CHCl_{3} }[/tex]
= 0.0500mol/kg × 1 kg
= 0.0500mol
Molar mass of caffeine([tex]M_{caffeine}[/tex]) = 8×12.011 + 10×1.008 + 4×14.007 + 2×16
= 194.196g/mol
Therefore, the mass of caffeine is;
[tex]n_{caffeine}[/tex] = [tex]\frac{m_{caffeine} }{M_{caffeine} }[/tex]
[tex]m_{caffeine}[/tex] = 0.0500 × 194.196
= 9.71g
Hence, the total mass of solution is: 1000 + 9.71 = g
Mass percentage of caffeine = [tex]\frac{9.71}{1009.71}[/tex] × 100 = 0.96%
Mass percentage of chloroform = [tex]\frac{1000}{1009.71}[/tex] × 100 = 99.03%
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