Conversion using factor label method

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In summary, the factor label method is a problem-solving technique used in chemistry and other sciences to convert units of measurement. It involves setting up a series of conversion factors, or ratios, to cancel out unwanted units and arrive at the desired unit. The method is useful for easily converting between different units and ensuring accuracy and consistency in scientific calculations. The step-by-step process involves identifying the starting and desired units, writing down conversion factors, setting up an equation, and solving for the desired unit. The factor label method can be used for any type of unit conversion and can handle complex conversions between different systems. Common mistakes to avoid include using incorrect conversion factors, not properly canceling units, and using the wrong number of significant figures in the final answer.
  • #1
rose ah
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Homework Statement
1 .You want to have a 30 m2 room in your house retiled. A company called Wasta Tiles will do it for $50
per m2
. Another company, Zaki Floors, will do it for $4 per ft2
. Which company has the lower price?
Justify your answer using the factor label method. 1 m2 = 10.8 ft2



2. A patient needs 0.50 mg of a certain drug per 10.0 pounds of body weight. Each pill contains 4.00 mg of
the drug. If the patient weighs 73.0 kg, how many pills should the patient be given? (1 kg weighs 2.2
pounds). Use the factor label method
Relevant Equations
1 kg weighs 2.2 pounds
Kindly help me out
 
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  • #2
rose ah said:
Kindly help me out
You need to show some work first. For instance, please tell us in your own words, what is the "factor label method".
 
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For 1: Money charged by one company is already given. Calculating the charges by the other company (while keeping the unit in mind) will solve the problem.

For 2: Consult an expert! Only Mathematics is not sufficient to know the correct dosage of a medicine!
 
  • #4
phymat said:
For 2: Consult an expert! Only Mathematics is not sufficient to know the correct dosage of a medicine!
This is a homework problem, not a real-life case.
 
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1. What is the factor label method?

The factor label method, also known as dimensional analysis, is a mathematical technique used to convert between different units of measurement. It involves setting up conversion factors, which are ratios of equivalent quantities, and using them to cancel out unwanted units and arrive at the desired unit.

2. Why is the factor label method useful?

The factor label method is useful because it allows for accurate and efficient conversions between different units of measurement. It also helps to prevent errors and ensures that the final answer is in the correct unit.

3. How do I use the factor label method?

To use the factor label method, first identify the starting unit and the desired unit for the conversion. Then, set up conversion factors by using known equivalencies between the units. Finally, multiply the starting value by the conversion factors, canceling out unwanted units along the way, until the desired unit is reached.

4. Can the factor label method be used for complex conversions?

Yes, the factor label method can be used for complex conversions involving multiple units and conversions. It is a versatile method that can be applied to a wide range of conversion problems.

5. Are there any limitations to using the factor label method?

The factor label method is a reliable and accurate method for conversions, but it does have limitations. It may not work for conversions involving nonlinear relationships between units or for conversions that require more precise calculations, such as in scientific experiments.

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