Conv001Module 4: Conversion Calculations and Dosage cm = 1 in..2.54 cm1 in.which is equivalent to1 in.2.54 cm10 in.Next, we will multiply are given quantity using the appropriate conversion factor to get the desired result incentimeters.10 in.1 in.Notice that the denominator of our conversion factor contains units of inches.This allows s to divide out the units of inches leaving the desired units of centimeters.Here is what completed conversion calculation will look like.10 in.2.54 cm25.4 cm11 in.Note: In Example 1above, the conversion factor was written for converting inches to centimeters.In thenext example we will convert from centimeters to inchesNotice how the conversion factordiffers in Example 2.Quantity Conversion Factor Module 4: Conversion Calculations and Dosage 2: How many inches are in 35 centimeters?In this example we are being asked to convert 35 cm to inches.Again, we begin the conversion calculation by first writing the given quantity as a ratio using a 1 to represent the denominator.35 cmNext, we will multiply ourgiven quantity using the appropriate conversion factor to get the desired result in inches1 in.54 cmn this example, notice that the denominator of our conversion factor contains units of centimeters.This allows us to divide out the units of centimetersleavingthe desired units of inches.Here is what our completed conversion calculation will look like.We will round our final answer to the nearest onethousandth.35 cm1 in.13.780 in.12.54 cmBased on our conversion calculation, we can now answer the question by stating there are approximately 13.780 inches in 35 centimetersPerform the following conversion calculations using one conversion factor1) How many seconds are in 17 minutes?How many feet are in 40 yardsConvert 10 cm to inches.Convert 25 inches to centimeters.5) Convert 2 liters to quarts.6) Convert 5,000 pounds to tons.If one tablet contains 150 mg of ibuprofen, how much ibuprofen is in123tablets?Given that 1 kilogram = 2.2 pounds, how many kilograms does a 175 lb adult male weigh?Given Quantity Conversion Factor Module 4: Conversion Calculations and Dosage How to Perform Conversions using Multiple Conversion FactorsMany conversion calculations require the use of more than one conversion factor to obtainthe desired result.In these cases, we let the dimensions guide us through the calculations,telling us where to put the numeric values.
This approach will be demonstrated in Example 3 and Example 4.We will be using the following equivalenrelationships to perform these types ofconversion calculations12 in.= 1 ft
3 ft = 1 yd
5,280 ft = 1 mile
2.54 cm = 1 in.Other equivalent relationships can be found on the conversion handout sheet found at the end of this sections material.Example 3: How many miles are in 500,000 inchesAs always, we begin the conversion calculation by first writing the given quantity as a ratio using a 1 to represent the denominator.500,000 in.
Our first conversion factor will convert inches to feetby placing units of inches in the denominator and feet in the numerator
500,000 in.1 ft12 in.
Our second conversion factor will now convert feet to milesby placing feet in the denominator and miles in the numerator
1 ft1 mi12 in.5,280 ft00,000 in.Notice that the denominatorof our conversion factordivide out the units in the precedingnumeratorsThisleaves us with the desired units of miles.Here is what our completed conversion calculation will look like.We will round our final answer to the nearest onethousandth.500,000 in.1 ft1 mi = 7.891 mi112 in.5,280 ftBased on our conversion calculation, we can now answer the question by stating there are approximately 7.891 milesin 500,000 inchesGiven Quantity Conversion Factor Given Quantity Conversion Factor Conversion Factor Module 4: Conversion Calculations and Dosage 4: How many yards are in 4,500 centimetersAgain, wfirst writethe given quantity as a ratio using a 1 to represent the denominator.4,500 cm
Our first conversion factor will convert centimeters to inchesby placing units of centimeters in the denominator and inches in the numerator.
1 in m cm
Our second conversion factor will now convert inches to feetby placing inches in the denominator and feet in the numerator.
1 in.1 ftcm12 icm
Our third conversion factor will now convert feet to yardsby placing feet in the denominator and yards in the numerator.
1 in.1 ft1 yd4,500 cmcm12 in.3 fAgain we see thatthe denominators of our conversion factors divide out the units in the precedingnumerators.
Doing so leaves uswith the desired units of yards.Here is what our completed conversion calculation will look like.We will round our final answer to the nearest onethousandth.1 in.1 ft1 yd2.54 cm12 cm =
49.213 yBased on our conversion calculation, we can now answer the question by stating there are approximately ardsin entimetersPerform the following conversion calculations using multiple conversion factors.How many meters are in 1 mile?How many seconds are in 1 year?Convert 3 pounds to grams.Convert 2 liters to ounces.Given Quantity Conversion Factor Given Quantity Conversion Factor Conversion Factor Given Quantity Conversion Factor Conversion Factor Conversion Factor Module 4: Conversion Calculations and Dosage Applied Problems using Conversion CalculationsConversion calculations can be used to solve many of the applied problems seen within the Health Care career field.Probably the most importanttypes of conversion calculationare applied problems that involvedosage calculations.With these types of problems, a given solution strength ratioor dosage strength ratiois used as a conversion factor.The following xamples representcommon dosagecalculationsusing this approachExample 5Suppose you foundthat 100 mL of a solution contains 1 gram of lidocaine
.How many mg of lidocaine are in mL of the solution?We begin the conversion calculation by first writing the given quantity as a ra
4.1 Conversions With Lengths, Weight (mass), And Volume
Notice that the denominator of our conversion factor contains units of inches. ... Our first conversion factor will convert centimeters to inches by placing units of (sunlabsinc.com)
We now have a conversion factor relating centimeters and inches. ... 5.00 inches = ? centimeters (5.00 inches) = 12.7 centimeters 2.54 centimeters 1.00 inch (saddleback.edu)
Units And Unit Conversions
units to centimeters, feet, and inches. ... Develop a plan: Using the conversion factor between inches and feet, determine the height of the room in feet. (everettcc.edu)
Conversion factors are ways of relating quantities or values of two differing units.
Some examples of values that could be used as conversion factors would be: 2.54 centimeters = 1.00 inch 0.621 miles = 1.00 kilometer 1.00 quart = 0.946 liters 454 grams = 1.00 pound You can find more of these in your textbook.
What is important is to learn how to use them to get from the value and unit you have been given to the value and unit that is desired.
All of the above equalities can be rewritten as ratios.
For example: 2.54 centimeters = 1.00 inch If we divide both sides of the equation by 1.00 inch
We now have a conversion factor relating centimeters and inches.
Note that we could just have easily divided The conversion factor is useful to change from one unit to another because anything you multiply by the same value, even if it looks different.
easily what goes where.
The following is an example of the multiplication using fractions followed by the same
of this calculation.
It keeps the numerators (tops) and denominators (bottoms) more in line with each other to lessen confusion about what is multiplied and what is divided.
The trick is to put what you were given, or what you haveonly unit left is the desired unit, or what you wantlearn the process you will find that conversions are not as bad as they can sometimes seem.
(units of mass)
First we look for what we have been given, or what we have.
Then we determine what we want.
We can see that we have been given a value in grams but we want to know how many ounces that is.
In some cases we will be able to use one conversion factor to get from what we have to what we want, but in our example we will have to use more than one step.
(Note: Some texts may have a direct conversion factor from grams to ounces but we will assume that yours does not and that you will have to go from grams to pounds have in the top left box.
Then, without using any numbers, fill in the units in the other boxes until everything has cancelled except the unit of what we want.Everett Community College does not discriminate on the basis of race, religion, creed, color, national origin, age, sex, marital status, disability, or veteran status.
Once our units have cancelled properly then we can go back and fill in the numbers where they belong.
It is a good idea to get used to writing down what you are referring to now because as the course goes on, there will what!
It takes up more time and space but, in the long run, you will be much better off to have made doing it a habit by the time you really need it.
When doing these calculations on your calculator there are two ways to do them.
The first is to multiply all the numbers on the top together and then, using the parentheses on your calculator, divide by the product of all the numbers on the bottom.
In our example this would be: 2.0 x 1 x 16 / (454 x 1) =
Another method is to multiply everything on the top together and then divide, one at a time, by everything on the bottom.
2.0 x 1 x 16 / 454 / 1 = dividing by 1 does not change anything so they can be omitted).
Both of these methods will give you the same answer and you should do whichever makes you feel more secure.
(units of volume) Some of our units of volume are a single unit, such as liter (L), or quart.
Others are a dimension that has been 3) or cubic centimeters (cm3).
Converting from or
Again, we will assume that your text does not include a direct conversion factor from feet to meters.
We will be going from feet to inches, from inches to centimeters, and from centimeters to meters.
Since all of these dimensions are cubed, there will be three of each conversion factor to get from what we have to what we want.
have in the top left box.
Then, without using any numbers, fill in the units in the other boxes until everything has cancelled except the unit of what we want.
Now we can go back and fill in the numbers since our units cancelled until we were left with m3.
72.5 x 12 x 12 x 12 x 2.54 x 2.54 x 2.54 / (102 x 102 x 102) = or 72.5 x 12 x 12 x 12 x 2.54 x 2.54 x 2.54 / 102 / 102 / 102 =
Everett Community College does not discriminate on the basis of race, religion, creed, color, national origin, age, sex, marital status, disability, or veteran status.Example 3:
(multiple units, in this case density) Many of the numbers we will be working with will have more than one unit attached, such as miles per hour (mi/hr), kilometers per second (km/sec), or grams per cubic centimeter (g/cm3).
It is very important to put
This time we have two units that must be converted.
The number value always goes with the first unit, which is on top in this case, but we must be sure to include the other unit as well, which is in the denominator.
Also, as in our last example, we have a cubed value and must have three conversion factors to account for it.
We have in the proper boxes, then fill in the units in the other boxes until everything has cancelled to what we want.
We have cancelled our in3 on the bottom and are left with cm3, and also we have cancelled lb and are left with g.
Since our desired units were g/cm3, we can now fill in the numbers.
0.51 x 454 / (2.54 x 2.54 x 2.54) = or
0.51 x 454 / 2.54 / 2.54 / 2.54 = You will learn many other conversion factors as you progress through your chemistry course but this approach can be used for nearly all of them.
You will be required to get comfortable with scientific notation and the concept of significant figures, which are covered in your textbook.
If that you need further explanation there are handouts available and you can look things
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