B. Type diabetics as a result of glucose intolerance and insulin insensitivity c

Question

B. Type diabetics as a result of glucose intolerance and insulin insensitivity continued to be a problematic health issue, affecting millions ofpeople worldwide. The concentration of glucose (C6H12Oe) in human blood before meals was determined calorimetrically by a first year chemistry graduate to be 80 mg/100 ml. L Calculate the determined molarity of glucose in blood before meals by the student. II. Assuming the actual glucose concentration in blood before meals is 7uM, calculate the relative error and the percentage relative error in the determined glucose concentration in blood by the students. Ill. Based on the result ofyour calculated errors, will you consider the results of glucose analysis accurate? (Note: you must justify your answer with discussion before you can obtain a full credit)

Explanation / Answer

SOLUTION:

(I) Molarity (M) = (No. of moles (n) / volume in mL) X 1000 =====1)

n = given mass / molar mass = 80 X 10-3g / 180g = 4.4 X 10-4 moles

Inserting in (1)

M = (4.4 X 10-4 moles / 100) X 1000 = 4.4 X 10-3 M = 4.4mM

(II) Relative error = absolute error/actual value ====1)

Absolute error = 7µM - 4.4µM = 2.6µM

Relative error = 2.6µM/7µM = 0.37

Percentage relative error = 0.37 X 100 = 37%

(III) A measurement is accurate when it is close to the true value. Since the measured value (4.4µM) is not close to actual value (µM), the measurement is not accurate.

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