Week 2 Dimensional Analysis
Use dimensional analysis to solve the following word problems:
1. According to the Guinness Book of Records the heaviest baby ever born weighed 29 lbs 4oz (29.25lbs). What was the baby’s mass in grams? Historical Note: The birth occurred in Effingham IL in 1939 and due to respiratory problems the baby died two hours later. The heaviest babies to survive weighed 22.5 lbs and were born in 1955 and 1982. (16oz. = 1 lb = 454g)
2. In Europe gasoline is sold by the liter. Assume that it takes 14 gallons of gasoline to fill the tank of a compact car. How many liters of gasoline will it take? ( 1L = 0.264gal)
3. The food that the average American eats in one day provides 2500 Calories of energy. How many Calories per second is this?
4. The Atlantic Ocean is growing wider by about 0.10 inch/year. There are 12 inches/ft and 5280-ft/ mile. How long will it take for the Atlantic to grow 1 meter? (1m = 3.23ft)
5. Cheetahs are the fastest land mammals and are capable of sprinting at 27.8 m/s in short bursts. How long would it take a cheetah to run the length of a 100 yd football field running at this top speed (1 yd = 0.914 m)?
6. If Gasp cigarettes have 5.0 mg tar and 0.40 mg nicotine per cigarette and there are 20 cigarettes per pack, how many packs of cigarettes would have to be smoked to coat your lungs with 8.0 oz (1/2 lb.) of tar? (16oz. = 1 lb = 454g)
7. The physician has order 0.650 g of oxycodone to be given to the patient ever 8 hours. The pharmacy has 325 mg tablets of oxycodone, how many tablets will be needed for a week’s treatment?
8. The doctor asks for an infusion of procainamide at a rate of 2.5g/min. The pharmacy has mixed 3.0 g of procainamide in 1.0 L of solution. How many mL/hr would you set the IV pump?
9. The physician orders IV fluids to hydrate a client. The order is written as “D5NS 4 Liters over 24 hours.” Looking at the package indicates the drip factor of the tubing is 15 gtt/mL (drops/mL). What is the drip rate in gtt/min?
10. If the RDA for vitamin C is 60.0 mg per day and there are 70.0 mg of vitamin C per 100.0 g of oranges, how many 3.0 oz. oranges would you have to eat each week to meet this requirement?