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In a 50 ppm Zn standard, an analyst determined 54 ppm Zn. The calculated error is :

  • A.0·8%
  • B.0·4%
  • C.1·6%
  • D.8·0%

Answer: D

The error is 8·0%.

The relative error is the difference between the measured and true values as a percentage of the true value:

\[ \begin{aligned} \text{error} &= \frac{54 - 50}{50} \times 100 \\ &= \frac{4}{50} \times 100 = 8\% \end{aligned} \]

The other values come from slips in the arithmetic: 0·8% is the answer divided by ten, and 0·4% and 1·6% match no correct use of the 4 ppm difference against the 50 ppm standard.

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