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Calculate the percent error for the following measurements: (a) The density of alcohol (ethanol) is found to be 0.8060 g/mL (true value = 0.7980 g/mL).  (b) The mass of gold in an earring is analyzed to be 0.8478 g (true value = 0.8644 g

Question

Calculate the percent error for the following measurements:
 
(a) The density of alcohol (ethanol) is found to be 0.8060 g/mL (true value = 0.7980 g/mL).
  
(b) The mass of gold in an earring is analyzed to be 0.8478 g (true value = 0.8644 g

check_circleAnswer
Step 1

Percent error is often expressed as the absolute value of the difference between the true value and the experimental value, divided by the true value.

true value-experimental value100
percent eTor
true value
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true value-experimental value100 percent eTor true value

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Step 2

(a)

Experimental value =0.8060 g/ml density

True value =0.7980 g/ml

Percent error of alcohol can be calculated as

truevalue-experimental value 10026
percent emur
truevalue
0.7980-0.8060100%
percent error
0.7980
0.008100%
0.7980
0.010025x100 %
=1.0025 %
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truevalue-experimental value 10026 percent emur truevalue 0.7980-0.8060100% percent error 0.7980 0.008100% 0.7980 0.010025x100 % =1.0025 %

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Step 3

(b)

Experimental value =0.8478 g/ml density

True value =0.8644 g/m...

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