1. Suppose you were not careful in preparing a sample for UV-Vis analysis, so that its actual concentration, c, in methanol was 0.00576 g/L rather than the 0 00600 g/L that you thought it was. a. What is the error, in mg/L, in the mass of the sample present in solution? b. Suppose that a maximum was observed at a wavelength of 278 nm for this solution and that the value of A at this maximum was 0.623 when a 1-cm cell was used. i. Using the value of c that you thought you had for the solution, calcu- late e for the sample, assuming that its molar mass is 100. ii. Show how the information regarding this maximum could be expressed. iii. What is the % error in € associated with the inaccuracy in your know- ing the actual concentration of the solution?

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Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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**Question 4:**

Suppose you were not careful in preparing a sample for UV-Vis analysis, so that its actual concentration, \( c \), in methanol was 0.00576 g/L rather than the 0.00600 g/L that you thought it was.

a. What is the error, in mg/L, in the mass of the sample present in solution?

b. Suppose that a maximum was observed at a wavelength of 278 nm for this solution and that the value of \( A \) at this maximum was 0.623 when a 1-cm cell was used.

   i. Using the value of \( c \) that you thought you had for the solution, calculate \( \varepsilon \) for the sample, assuming that its molar mass is 100.

   ii. Show how the information regarding this maximum could be expressed.

   iii. What is the % error in \( \varepsilon \) associated with the inaccuracy in your knowing the actual concentration of the solution?
Transcribed Image Text:**Question 4:** Suppose you were not careful in preparing a sample for UV-Vis analysis, so that its actual concentration, \( c \), in methanol was 0.00576 g/L rather than the 0.00600 g/L that you thought it was. a. What is the error, in mg/L, in the mass of the sample present in solution? b. Suppose that a maximum was observed at a wavelength of 278 nm for this solution and that the value of \( A \) at this maximum was 0.623 when a 1-cm cell was used. i. Using the value of \( c \) that you thought you had for the solution, calculate \( \varepsilon \) for the sample, assuming that its molar mass is 100. ii. Show how the information regarding this maximum could be expressed. iii. What is the % error in \( \varepsilon \) associated with the inaccuracy in your knowing the actual concentration of the solution?
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