Exam 3: Unit Systems and Dimensional Analysis

A post-operative patient is to receive 250 mg of intravenous (IV) antibiotic every 4.00 hours. A 1.00 liter bag of IV solution contains 1000 mg of antibiotic. What drop rate (in drops per second) of IV solution is required for the patient to receive the correct dosage of antibiotic? (20 drops = 1 mL)

Using the dimensional analysis method of problem solving, carry out the following metric-metric conversions: -257 mL = ? dL

What mass of gold (density = 19.3 g/cm³) occupies the same volume as 80.0 g of lithium (density = 0.534 g/cm³)?

What volume of a solution with a density of 13.9 g/mL is needed to provide 155 grams of solution?

According to dimensional analysis, which of the following is the correct set-up for the problem "How many milligrams are there in 67 kilograms?"

The cheetah is the fastest land animal on earth with a top speed of 70.0 miles per hour. What is the top speed of a cheetah in meters per second?

A certain children's fever reducing medicine has a concentration of 250 mg/10 mL. If a child is to receive 2 teaspoons of this medicine, how many mg of medicine is being received in one dose? (1 tsp = 5 mL)

A temperature change of 16.0 degrees Fahrenheit is equivalent to how many degrees change on the Celsius temperature scale?

Using the dimensional analysis method of problem solving, calculate the number of green brass buttons in a box containing 1365 buttons, if 36.2% of the buttons are brass and 18.1% of the brass buttons are green.

Using the dimensional analysis method of problem solving, carry out the following English-metric or metric-English conversions: -2.7 cm² = ? in²

256 college students each donated one pint of blood. How many milliliters of blood did the students donate?

What is the mass of 36.0 mL of a liquid if its density is 2.70 g/mL?

Using the dimensional analysis method of problem solving, carry out the following metric-metric conversions: -1.786 kg = ? μg

An astronaut whose mass is equal to 82 kg on Earth, on the Moon will -weigh much less due to the moon's decreased gravitational attraction.

Half-life is the time required for 50% of the compound to decay. If a 128 mg sample undergoes 6 successive half-lives, how much sample will be left?

The accepted value for the boiling point of diethylether is 35 °C. What is the percent error for a reported value of 36.1 °C as the boiling point of diethylether?

A certain infant analgesic medicine has a single dose of 36.0 mg/kg of body weight. How much analgesic will be administered in a single dose for an 18.4 pound toddler?

The temperature of an average lightning bolt is 3.0 x 10⁴ °C. What is the equivalent temperature on the Fahrenheit scale?

In a laboratory class with 80 students, 50% of the students are male, and 10% of the male students are left handed. How many students in the laboratory are male students that are left handed?

What is the capacity of a gasoline container, in gallons, if it will hold 96.5 lb of gasoline of density 0.60 g/mL?