Suppose that in a gravimetric analysis, you forget to dry the filter crucibles before collecting precipitate. After filtering the product, you dry the product and crucible thoroughly before weighing them. Is the apparent mass of product always high or always low? Is the error in mass systematic or random?

Short Answer

Expert verified

The apparent mass of product is always low. The error is systematic error.

Step by step solution

01

Definition of systematic and random error.

  • Systematic errors are mistakes that are not caused by chance, but rather by an inherent inaccuracy in the system (including either the observation or measurement process). The term "systematic error" can also refer to a mistake with a nonzero mean that has no impact when the observations are averaged.
  • The term "random error" refers to an unanticipated disruption in the experiment caused by an unknown source. In theory, you may track down the cause of the mistake and eliminate it in a better trial, bringing the measured mean closer to the real mean. Random mistake can be either beneficial or harmful, and it can't be avoided.
02

Determine the error

First, because the source of the error can be identified and corrected in the next experiment, this error is systematic.

Because the mass of the dry crucible is smaller than the mass of the crucible plus the moisture, the product's mass will be low.

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Most popular questions from this chapter

You have a stock solution certified by a manufacturer to contain 150.0±0.3μgSO42-/mL. You would like to dilute it by a factor of 100 to obtain 1.500μg/mL. Two possible methods of dilution are stated below. For each method, calculate the resulting uncertainty in concentration. Use manufacturer's tolerances in Tables 2-3 and 2-4 for uncertainties. Explain why one method is more precise than the other.

(a) Dilute 10.00mL up to 100mL with a transfer pipet and volumetric flask. Then take 10.00mL of the dilute solution and dilute it again to 100mL.

(b) Dilute 1.000mL up to 100mL with a transfer pipet and volumetric flask.

Why do we use quotation marks around the word true in the statement that accuracy refers to how close a measured value is to the "true" value?

Write each answer with the correct number of significant figures.

(a)1.0+2.1+3.4+5.8=12.3000

(b) 106.9 - 31.4 = 75.5000

(c)107.868(2.113×102)+(5.623×103)=5519.568

(d)(26.14/37.62)×4.38=3.043413

(e(26.14/37.62×108)×(4.38×10-2)=3.043413×10-10

(f)(26.14/3.38)+4.2=4.5999

(g)log(3.98×104)=4.5999

(h)10-6.31=4.89779×10-7

State whether the errors in (a)-(d) are random or systematic:

(a) A 25 - mL transfer pipet consistently delivers 25.031±0.009mL.

(b) A 10 - mL buret consistently delivers role="math" localid="1663303542431" 1.98±0.01mLwhen drained from exactly 0 to exactly 2mL and consistently delivers 2.03mL±0.02mL when drained from 2 to 4mL .

(c) A 10 - mL buret delivered 1.9839g of water when drained from exactly 0.00 to 2.00mL . The next time I delivered water from the 0.00 to the 2.00mL mark, the delivered mass was .

(d) Four consecutive 20.0 - μL injections of a solution into a chromatograph were made and the area of a particular peak was 4383 , 4410, 4401 , and 4390 units.

Write the formula mass of (a) BaF2and (b)C6H4O4with a reasonable number of digits. Use the periodic table inside the cover of this book to find atomic masses.

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