Percent Error in Chemistry

 
Chemistry
I.) 
Accepted vs. Experimental Value
 
A.)  
ACCEPTED VALUE
 – value of a substance
accepted by all scientists
 B.)  
EXPERIMENTAL VALUE
 – value of a
substance that results in a lab setting
 
 C.)  Formula for Calculating Percent Error
1.)   The difference between the accepted value and
the experimental value is the 
PERCENT ERROR
.
 
Error = experimental value – accepted value
 
 C.)  Formula for Calculating Percent
Error
 
 
1.)  The difference
 
between the accepted
 
value and the experimental
 
value is the 
percent error
.
 
 
Error = experimental value – accepted value
 
 2.)  Percent error compares the relative error.
C.)  Example
 
Suppose you use a thermometer to measure the
boiling point of pure water at standard
atmospheric pressure.  The thermometer reads
99.1
o
C.  You know the accepted value for the
boiling point of water is 100.0
o
C.  What is the
percent error?
 
  
100
o
C-99.1
o
C 
 x 100= 0.90%
 
      
 
      100
o
C
 
1.) Samantha S. Sloppiness measured the
volume of her soda before she drank it for her
midmorning snack. She measured the volume of
the 12 oz. bottle to be 14 oz.
 
 
|
12 oz -14 oz|
x 100 =16.7%
 
      12 oz
PRACTICE PROBLEMS
 
2.)  Henry Heavyfoot was just arrested for
speeding by Officer Hernandez for traveling 65
mph in a 55 mph zone. Henry claimed his
speedometer said 55 mph not 65 mph.
 
|55 mph-65 mph|
   x  100 = 18 %
       55 mph
 
3.)  A student measures the mass and volume of a
piece of copper in the laboratory and uses his data to
calculate the density of the metal.  According to his
results, the copper has a density of 8.37
g/cm
3
.   Curious about the accuracy of his results, the
student consults a reference table and finds that the
accepted value for the density of copper is 8.92
g/cm
3
.   What would be the student's percent error?
  
 |
8.92 g/cm
3
- 8.37 g/cm
3
 |
  x  100 = 6.17 %
  8.92 g/cm
3
 
4.)  Working in the laboratory, a student finds
the density of a piece of pure aluminum to be
2.85 g/cm
3
.  The accepted value for the density
of aluminum is 2.699 g/cm
3
.  What is the
student's percent error?
 
|2.699 g/cm
3
-2.85 g/cm
3
|
x 100   =  5.59%
           2.699 g/cm
3
 
5.) A student experimentally determines the
specific heat of water to be 4.29 J/g x C
o
.  She
then looks up the specific heat of water on a
reference table and finds that is 4.18 J/g x C
o
.
What is her percent error?
 
|4.18 J/g
o
C – 4.29 J/g
o
C| 
  x  100  =   2.63 %
         4.18 J/g
o
C
 
6.)  A student takes an object with an accepted
mass of 200.00 grams and masses it on his own
balance.  He records the mass of the object as
196.5 g.   What is his percent error?
 
 
|
200.0 g-196.5 g
 | x   100  =  1.75%
  
200.0 g
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In chemistry, understanding the concept of percent error is crucial for evaluating the accuracy of experimental results compared to accepted values. This post covers the definitions of accepted and experimental values, the formula for calculating percent error, and provides examples and practice problems to enhance comprehension.

  • Chemistry
  • Percent Error
  • Experimental Value
  • Accepted Value
  • Accuracy

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  1. Chemistry

  2. I.) Accepted vs. Experimental Value A.) ACCEPTED VALUE value of a substance accepted by all scientists B.) EXPERIMENTAL VALUE value of a substance that results in a lab setting

  3. C.) Formula for Calculating Percent Error 1.) The difference between the accepted C.) Formula for Calculating Percent Error 1.) The difference between the accepted value and the experimental value is the PERCENT ERROR. value and the experimental value is the percent error. Error = experimental value accepted value Error = experimental value accepted value

  4. 2.) Percent error compares the relative error.

  5. C.) Example Suppose you use a thermometer to measure the boiling point of pure water at standard atmospheric pressure. The thermometer reads 99.1oC. You know the accepted value for the boiling point of water is 100.0oC. What is the percent error? 100oC-99.1oC x 100= 0.90% 100oC

  6. PRACTICE PROBLEMS 1.) Samantha S. Sloppiness measured the volume of her soda before she drank it for her midmorning snack. She measured the volume of the 12 oz. bottle to be 14 oz. |12 oz -14 oz|x 100 =16.7% 12 oz

  7. 2.) Henry Heavyfoot was just arrested for speeding by Officer Hernandez for traveling 65 mph in a 55 mph zone. Henry claimed his speedometer said 55 mph not 65 mph. |55 mph-65 mph| x 100 = 18 % 55 mph

  8. 3.) A student measures the mass and volume of a piece of copper in the laboratory and uses his data to calculate the density of the metal. According to his results, the copper has a density of 8.37 g/cm3. Curious about the accuracy of his results, the student consults a reference table and finds that the accepted value for the density of copper is 8.92 g/cm3. What would be the student's percent error? |8.92 g/cm3- 8.37 g/cm3 | x 100 = 6.17 % 8.92 g/cm3

  9. 4.) Working in the laboratory, a student finds the density of a piece of pure aluminum to be 2.85 g/cm3. The accepted value for the density of aluminum is 2.699 g/cm3. What is the student's percent error? |2.699 g/cm3-2.85 g/cm3|x 100 = 5.59% 2.699 g/cm3

  10. 5.) A student experimentally determines the specific heat of water to be 4.29 J/g x Co. She then looks up the specific heat of water on a reference table and finds that is 4.18 J/g x Co. What is her percent error? |4.18 J/goC 4.29 J/goC| x 100 = 2.63 % 4.18 J/goC

  11. 6.) A student takes an object with an accepted mass of 200.00 grams and masses it on his own balance. He records the mass of the object as 196.5 g. What is his percent error? |200.0 g-196.5 g | x 100 = 1.75% 200.0 g

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