Lecture 4 - Mixed operations: Exponents and logarithms y =...

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Chapter 3. Experimental Error This is a default experimental error until 2008 1-Significant Figures 2-Singificant figure in arithmetic ypes of Error 3-Types of Error 4-Propagation of Uncertainty from random error (calculation)
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1-Significant Figures Definition: The position zeros in a number is important to the number of significant figures of this number. 1.688 0.01688 0.0001688 688 x 10 1.688 x 10 3 1.688 x 10 5 1.68800 x 10 3
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2-Significant figure in arithmetic he rule of significant figure calculation: The rule of significant figure calculation: The rule for rounding numbers: (1) Addition and subtraction (2) Multiplication and Division
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Logarithms and antilogarithms : Log 339 = 2.530; log (3.39 x 10 -5 ) = -4.470 10 2.530 = 339; 10 -4.470 =3.39 x 10 -5 ypes of error: 3-Types of error: Systematic error: Random error:
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Absolute uncertainty: Relative uncertainty: Percent relative uncertainty: 4-Propagation of uncertainty from random errors Addition and subtraction
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Multiplication and division:
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Unformatted text preview: Mixed operations: Exponents and logarithms y = x a y = log x y = ln x y = 10 x y = e x The real rule for significant figure: Example 1: The function pH = -log [H + ], where [H + ] is the molarity of H + . For pH = 5.21 0.03, find H + and its uncertainty. Example 2: Tom and Jerry prepared a standard HCl solution for pH titration experiments in CHM 3120L. They took 1 mL of 37.0 0.1 % (wt) HCl solution using a buret with a reading error of 0.02 mL. Then they put e Cl a 1 volumetric flask and added distilled water up to the the HCl in a 1-L volumetric flask and added distilled water up to the mark of 1-L with a reading error of 2 mL. (1) Please calculate the molarity of H + in the resulting solution and its uncertainty; and ) calculate the pH of the resulting solution and its uncertainty (2) calculate the pH of the resulting solution and its uncertainty. Homework: 3-3, 3-7; 3-12; 3-16; and 3-21...
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Lecture 4 - Mixed operations: Exponents and logarithms y =...

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