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A student calculates the density of a sample of Fe to be 7.57 grams per cubic centimeter. Based on Table S, what is the percent error for the student’s calculated density of Fe?

Regents Chemistry Exam August 2024 Question 31


31 A student calculates the density of a sample of Fe to be 7.57 grams per cubic centimeter. Based on Table S, what is the percent error for the student’s calculated density of Fe?

(1) -0.038% (3) -3.8%

(2) -0.040% (4) -4.0%



Solution:

Percent error formula can be found on Table T on the Reference Table.

% error = (measured value- accepted value)/accepted value *100%

Table S, lists the density of Fe as 7.87g/cm3 (accepted value). Let's plug all the numbers into the formula. % error = (7.57- 7.87)/7.87 *100% = - 3.8%, Choice 3.


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