Question

In surgical interventions, it is common to apply an iodine tincture to the area of the body where the incision will be made. The use of this product is due to its antiseptic and bactericidal action. For 1.7 liters of ethanol, density 0.8 g/mL, the mass of solid iodine, in grams, that must be used to obtain a solution that contains 5.86 mol of I2 for each kilogram of alcohol, will be: NOTE: The answer must have 4 places after the comma, to avoid rounding errors.

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Answer to a math question In surgical interventions, it is common to apply an iodine tincture to the area of the body where the incision will be made. The use of this product is due to its antiseptic and bactericidal action. For 1.7 liters of ethanol, density 0.8 g/mL, the mass of solid iodine, in grams, that must be used to obtain a solution that contains 5.86 mol of I2 for each kilogram of alcohol, will be: NOTE: The answer must have 4 places after the comma, to avoid rounding errors.

Expert avatar
Cristian
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89 Answers
\text{Step 1: Calculate the mass of ethanol in grams}

\text{Mass of ethanol} = 1700 \, \text{mL} \times 0.8 \, \text{g/mL} = 1360 \, \text{g}

\text{Step 2: Convert the mass of ethanol to kilograms}

1360 \, \text{g} = 1.36 \, \text{kg}

\text{Step 3: Calculate the moles of } I_2 \text{ needed}

\text{Moles of } I_2 = 1.36 \, \text{kg} \times 5.86 \, \text{mol/kg} = 7.9696 \, \text{mol}

\text{Step 4: Calculate the molar mass of } I_2

\text{Molar mass of } I_2 = 2 \times 126.90447 \, \text{g/mol} = 253.80894 \, \text{g/mol}

\text{Step 5: Calculate the mass of } I_2 \text{ needed}

\text{Mass of }I_2=7.9696\,\text{mol}\times253.80894\,\text{g/mol}=2,022.7557\,\text{g}

\text{Answer: }2,022.7557\,\text{g}

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