A 5.0 mL aliquot of the coffee drink containing caffeine was diluted to 50.0 mL with de-ionised water.A sample of the diluted coffee drink was run through the HPLC column under identical conditions to those used to obtain the calibration curve.The peak area obtained for this diluted sample was 2400 arbitrary units.a) What is the purpose of creating a calibration curve? (1 mark)b) Determine the concentration of caffeine in g L-1, of the diluted sample of coffee drink. (1 mark)c) Determine the concentration of the caffeine in the original coffee drink in units of M. SHOW YOUR WORKING. (2 marks)d) Determine the mass of the caffeine, in grams, in 350 mL of the undiluted coffee drink. SHOW YOUR WORKING. (1 mark)
Question
A 5.0 mL aliquot of the coffee drink containing caffeine was diluted to 50.0 mL with de-ionised water.A sample of the diluted coffee drink was run through the HPLC column under identical conditions to those used to obtain the calibration curve.The peak area obtained for this diluted sample was 2400 arbitrary units.a) What is the purpose of creating a calibration curve? (1 mark)b) Determine the concentration of caffeine in g L-1, of the diluted sample of coffee drink. (1 mark)c) Determine the concentration of the caffeine in the original coffee drink in units of M. SHOW YOUR WORKING. (2 marks)d) Determine the mass of the caffeine, in grams, in 350 mL of the undiluted coffee drink. SHOW YOUR WORKING. (1 mark)
Solution
a) The purpose of creating a calibration curve is to establish a relationship between the concentration of a substance and its response in the analytical method (in this case, the peak area in HPLC). This curve can then be used to determine the concentration of the same substance in unknown samples.
b) To determine the concentration of caffeine in the diluted sample, we need the calibration curve. The calibration curve will provide a relationship between the peak area and the concentration of caffeine. Without this information, we cannot calculate the concentration.
c) To determine the concentration of caffeine in the original coffee drink, we need to know the dilution factor and the concentration of caffeine in the diluted sample (which we calculated in part b). The dilution factor is the total volume after dilution divided by the original volume, which is 50.0 mL / 5.0 mL = 10. The concentration in the original drink is then the concentration in the diluted sample multiplied by the dilution factor. Without the concentration in the diluted sample, we cannot calculate this.
d) To determine the mass of caffeine in 350 mL of the undiluted coffee drink, we need to know the concentration of caffeine in the original drink (which we calculated in part c). The mass is then the concentration multiplied by the volume (in liters). Without the concentration in the original drink, we cannot calculate this.
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