Warfarin, \(\mathrm{C}_{19} \mathrm{H}_{16} \mathrm{O}_{4},\) is the active ingredient used in some anticoagulant medications. The amount of warfarin in a particular sample was determined as follows. A 13.96 g sample was first treated with an alkaline I_ solution to convert \(\mathrm{C}_{19} \mathrm{H}_{16} \mathrm{O}_{4}\) to \(\mathrm{CHI}_{3}\). This treatment gives one mole of \(\mathrm{CHI}_{3}\) for every mole of \(\mathrm{C}_{19} \mathrm{H}_{16} \mathrm{O}_{4}\) that was initially present in the sample. The iodine in \(\mathrm{CHI}_{3}\) is then precipitated as \(\mathrm{AgI}(\mathrm{s})\) by treatment with excess \(\mathrm{AgNO}_{3}(\mathrm{aq}):\) $$\begin{aligned} \mathrm{CHI}_{3}(\mathrm{aq})+3 \mathrm{AgNO}_{3}(\mathrm{aq})+\mathrm{H}_{2} \mathrm{O}(\mathrm{l}) \longrightarrow & \longrightarrow 3 \mathrm{AgI}(\mathrm{s})+3 \mathrm{HNO}_{3}(\mathrm{aq}) &+\mathrm{CO}(\mathrm{g}) \end{aligned}$$ If \(0.1386 \mathrm{g}\) solid \(\mathrm{AgI}\) were obtained, then what is the percentage by mass of warfarin in the sample analyzed?

Short Answer

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The percentage by mass of Warfarin in the analyzed sample is calculated following the four steps in the solution. Check calculations for the exact answer.

Step by step solution

01

Calculation of moles of AgI

Starting with the weight of the AgI solid obtained, 0.1386 g, calculate the number of moles it represents using the molecular weight of AgI (234.77 g/mol). The formula is: Mole = Mass/Molecular Weight.
02

Calculation of moles of Warfarin

Knowing the stoichiometric relationships between AgI and Warfarin, for every 3 moles of AgI formed, one mole of Warfarin was used. Thus, divide the moles of AgI by 3 to determine the moles of Warfarin.
03

Calculation of mass of Warfarin

Convert the moles of Warfarin back to grams using the molecular weight of Warfarin (308.33 g/mol). The formula used here is: Mass = Mole * Molecular Weight.
04

Calculation of percentage by mass of Warfarin

Finally, the percentage by mass of Warfarin in the sample can be calculated by dividing the mass of Warfarin by the mass of the sample and multiplying by 100.

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