Do the following calculations using the correct conversion units. First determin

Question

Do the following calculations using the correct conversion units. First determine the equality, then write the conversion factor needed to solve the problem. Be sure to give your answer with the correct # of sig figs. A hospital patient has an oral temperature of 38.5 oC and weighs 185 lbs. He is to receive a drug, the total dosage of which is 55.6 mg per kilogram of body weight. The drug is dissolved in water (35.0 mg per milliliter). You may use the following conversion factors to answer the following problems: 454 g = 1 lb. 1.06 qt = 1 L drug dosage: 55.6 mg/kg body weight (this is the same as (55.6 mg)/(1 kg body weight) or the reciprocal) drug concentration: 35.0mg/mL

a) What is his weight in kilograms? (Hint: what equality will you use that is given above? Write it as a conversion factor with the correct units in the numerator) 1kg/2.20lbs*185lbs= 84.1kg

b) What mass in milligrams of pure drug should he receive? (Hint: use the mass in kg that you obtained in part (a) as a starting point. Use the dosage as a conversion unit. How can you write it so that mg is in the numerator?)

c) How many quarts of the drug solution should he drink during his treatment? (Hint: use the amount of drug in mg you obtained in part (c) as a starting point. Now will you use the drug dosage or the drug concentration to determine the amount in mL? What conversion do you now use to convert from mL to quarts? Do you need to do a metric-metric conversion before converting to quarts?) drug concentration: 35.0mg/mL

Explanation / Answer

a) 185 lbs * (.454 kg / 1lb) = 83.99 kg

b) 55 mg / kg * 83.99kg = 4619.45 mg

c) 4619.45 mg * (1mL/35mg) = 131.98 mL

131.98 mL * (1L / 1000mL) = 0.131984 L

0.131984 L * (1.06 qt / 1L) = 0.1399 qt

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