The pH of an HC1 solution is -1.026 plusminus 0.0006. What is the hydrogen ion c

Question

The pH of an HC1 solution is -1.026 plusminus 0.0006. What is the hydrogen ion concentration and its uncertainty? The perimeter of a rectangle is to be determined. The uncertainty in a measurement is plusminus 0.3 cm. In one determination the length was measured to be 45.2 cm and the width to be 23.6. Using P = 2(l + w) what is the value of the perimeter and its uncertainty? In another determination both lengths and both widths were independently measured. The two widths were measured and both were found to be 23.6 cm. Similarly both lengths were measured and both were found to be 45.2 cm. What is the value of the perimeter and its uncertainty in this case? Are the two values for the perimeter and its associated error the same in both cases? Why or why not? Explain.

Explanation / Answer

5.

The pH of HCl solution is -1.026 +/-0.0006.

[H+] = 10^ (-pH)

[H+] = 10^- (-1.026) = 10.617M

The relative Uncertainty in

[H+] = uR/ R = 2.303 uA

     = 2. 303 × 0 .0006 = 0.00148

The uncertainty in the concentration, therefore, is

10.617M x 0.0014 = 0.0148

[H+] =10.617M +/-0.0148 M

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