Dimensional Analysis and Unit Conversions

The video tutorial covers two-step conversion dimensional analysis problems. It begins with an introduction to the concept and prerequisites, followed by a detailed walkthrough of two problems: calculating the number of days before a cough syrup bottle needs a refill and determining the mass of a patient's blood given its volume and density. The instructor explains how to set up each problem, identify given data, and use conversion factors to solve them step-by-step.

What should you do if you're not familiar with dimensional analysis before attempting two-step conversions?

• Practice algebra problems

• Watch the one-step conversion video

• Read a book on chemistry

• Watch a video on advanced calculus

In the cough syrup problem, how many milliliters are in one teaspoon?

• 10 milliliters

• 5 milliliters

• 15 milliliters

• 20 milliliters

How many doses are given in one day according to the cough syrup problem?

• Two doses

• Three doses

• Four doses

• Five doses

What is the first step in solving the cough syrup problem?

• Convert teaspoons to tablespoons

• Identify the given information and what needs to be found

• Calculate the total volume of syrup

• Estimate the number of days manually

How many days will the cough syrup last before a refill is needed?

• 8 days

• 5 days

• 3 days

• 6 days

What is the blood volume given in the second problem?

• 8.2 quarts

• 5.2 quarts

• 6.2 quarts

• 7.2 quarts

What is the density of blood used in the problem?

• 1.00 G per milliliter

• 1.20 G per milliliter

• 1.10 G per milliliter

• 1.06 G per milliliter

What conversion is necessary to solve the blood volume problem?

• Quarts to liters

• Quarts to milliliters

• Quarts to gallons

• Quarts to pints

What is the final mass of the patient's blood in grams after rounding to two significant figures?

• 6400 grams

• 6200 grams

• 6300 grams

• 6500 grams

What is the purpose of using conversion factors in these problems?

• To increase the complexity of the problem

• To confuse the student

• To ensure units are consistent and can be canceled appropriately

• To make the problem more interesting