A 25 lb child requires 0.005g per kg of body weight of a drug. Calculate the number of grams of the drug the child requires. Ifthe drug has a molar mass of 255 g/mol, how many moles of drug does the child require?
Question
A 25 lb child requires 0.005g per kg of body weight of a drug. Calculate the number of grams of the drug the child requires. Ifthe drug has a molar mass of 255 g/mol, how many moles of drug does the child require?
Solution
Step 1: Convert the child's weight from pounds to kilograms. 1 lb is approximately 0.453592 kg. So, 25 lb is 25 * 0.453592 = 11.3398 kg.
Step 2: Calculate the amount of drug required in grams. The child requires 0.005g of the drug per kg of body weight. So, the child requires 0.005g/kg * 11.3398 kg = 0.056699 g of the drug.
Step 3: Convert the amount of drug required from grams to moles. 1 mole of the drug has a mass of 255 g. So, 0.056699 g is 0.056699 g / 255 g/mol = 0.00022235 mol of the drug.
So, the child requires 0.056699 g or 0.00022235 mol of the drug.
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