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The concentration determined for an unknown sample of hydrochloric acid by a student is 0.1355 M. According to the instructor’s information, the true molarity (M) of this solution is 0.1364 M. What is the percent error in this experiment?

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Answer:

The percentage of error in this experiment is 0.66%

Explanation:

The value measured by a student, let's call it
xm, is equal to 0.1355 M. And the real value of molarity is,let's call it
xr is equal to 0.1364.

The error in the measurement (E) is equal to the absolute difference between the real value and the measured value:

abs ( xr - xm ) = E

So in this experiment it will be equal to:

abs ( 0.1364 - 0.1355 ) = 0.0009

And the percentage of error (e) will be:


e = (E)/(xr)*100

Thus,

e = 0.0009 * 100 / 0.1364 ⇒ e= 0.659 % ≈ 0.66 %

So, the percentage of error in this experiment is 0.66%

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