Answer : The mass of iodine extracted can be 9796.7 mg
Explanation : Given,
Mass of thryoxine = 15.0 g
Molar mass of thryoxine = 776.86 g/mole
The molecular formula of thryoxine is, [tex]C_{15}H_{11}NO_4I_4[/tex]
In [tex]C_{15}H_{11}NO_4I_4[/tex] compound, there are 15 moles of carbon, 11 moles of hydrogen, 1 mole of nitrogen, 4 moles of oxygen and 4 moles of iodine.
First we have to determine the moles of thryoxine.
[tex]\text{Moles of thryoxine}=\frac{\text{Mass of thryoxine}}{\text{Molar mass of thryoxine}}=\frac{15.0g}{776.86g/mole}=0.0193moles[/tex]
Now we have to determine the moles of iodine.
As, 1 mole of thryoxine has 4 moles of iodine
So, 0.0193 mole of thryoxine has [tex]4\times 0.0193=0.0772[/tex] moles of iodine
Now we have to determine the mass of iodine.
[tex]\text{Mass of iodine}=\text{Moles of iodine}\times \text{Molar mass of iodine}[/tex]
[tex]\text{Mass of iodine}=(0.0772mole)\times (126.9g/mole)=9.7967g=9796.7mg[/tex]
conversion used : (1 g = 1000 mg)
Therefore, the mass of iodine extracted can be 9796.7 mg
