Download Accel Unit 1 - Princeton High School

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Accelerated Chemistry - Dimensional Analysis Homework
Exercise 1:
Cardiovascular diseases (diseases of the heart and blood vessels) are the leading cause of death
worldwide. To address this problem, biomedical engineers have designed various artificial hearts,
which surgeons may some day routinely implant into patients whose own hearts are failing. Before
implanting such a device in a patient, a surgeon needs to have an idea of how long it might be expected
to work before needing to be replaced. If an artificial heart is capable of pumping at least 1.7 x 107 pints
of blood before failure, how long will it probably last in a patient whose average heart rate is 72 beats
per minute, and average stroke volume (amount of blood pumped with each stroke) is 70 mL.
(1 pint = 473 mL)
Unknown:
Known:
Conversion Factors:
Equation:
Exercise 2:
As you can tell from Exercise 1, dimensional analysis can solve most word problems, regardless of
subject. Solve the following problems using dimensional analysis.
a) Calculate the number of seconds in the month of Decemeber.
b) Linoleum flooring is sold in one foot squares. Approximately how many squares must be
ordered to cover the rooms in a school if each room is 1300 square feet and there are 10 rooms
per floor and 3 floors in the building?
Accel Unit 1- Dimensional Analysis Homework
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c) A light year is the distance light travels in one year. Sirius (the dog star), the brightest star in the
sky is approximately 8.6 light years from Earth. How far (in km) from Earth is it if light travels
3.0x108 m/s?
d) The density of lead is 11.3 g/cm3. What is the mass of a block of lead 0.20 m high, by 0.30 m
long, by 0.15 m deep?
Accel Unit 1- Dimensional Analysis Homework
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