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MLTC 101 Intro to MLT Lab Math Packet Name:_____________________ Date: ________________ Each question is worth 1 point unless otherwise stated. The final score will be out of 57 possible points. Plea se show all work where possible . I. Scientific Notation Round the following list of numbers to three significant figures. 1. 0.89357 _______________ ____ 2. 19.8278 ___________________ 3. 3.57349 ___________________ 4. 0.7895498 ___________________ 5. 1.00002 ___________________ Express the following numbers in exponential form /scientific notation . 6. 873.0 ___________________ 7. 99000 ___________________ 8. 0.00045 ___________________ 9. 0.0000 0873 ___________________ 10. 0.348 ___________________ II. Measurement Conversions Convert the following numbers to their metric equivalent: 11. 10.5mL= _____L 12. 9.4km= ______m 13. 25.5dg= _____ g 14. 15mm= ______cm 15. 34.9L= _______dl Convert the following temperatures to their temperature equivalent: 16. 40°C to °F 17. -10 °F to °C 18. 200 °F to K 19. 15 K to °C 20. 30 K to °F III. Dilutions, Titers, Ratios & Proportions Calculate the dilution factors for the following problems: 21. 10 mL sample added to 190 mL diluent 22. 4 mL sample added to 20 mL diluent 23. 1 mL sample added to 4 mL diluents 24. 0.5 mL sample added to 9.5 mL diluent Use the following information to answer quest ions 25 -29: A multiple series dilution was performed. The sample was diluted 1/5, ½, ¼, ½. 25. Draw the dilution using tubes as explained in the learning module. 26. Given the diagram in the above question, what is the final dilution? 27. Given the example, what is the final dilution factor? 28. What is the dilution factor in tube 2? 29. A patient’s titer was performed in the following sequence: undiluted followed by diluted: ½, ¼, 1/8, 1/16. Positive reactions were noted in the undiluted, ½ and ¼. What is the patient’s titer? IV. Molarity/Normality Determine the molarity of the following solutions: 30. 10 g NaOH in 0.5 L of solution 31. 58.5 g NaCl in 2.00 L of solution 32. 1.00g KCl in 10 mL of solution 33. 40 g NaOH in 1.0 L of solution How many grams or liters are necessary to make: 34. 300 mL of 0.20 M NaCl 35. 75 mL of 0.750 M KCl 36. 250 mL of 4 M MgSO 4 Determine the normality of the following solutions: 37. 1.0 g H 2SO 4 in 0.5 L of water 38. 30 g of H 3PO 4 in 3.0 L of water 39. 3.5 g HCl in 0.75 L water V. Solutions 40. Calculate the quantity of grams found in 400 mL of a 15% w/v solution of NaOH. 41. Calculate the quantity of grams found in 340 mL of a 25% w/v solution of KCl. 42. How many mL of a 75% ethyl alcohol solution are needed to prepare 200 mL of a 10% ethyl alcohol solution? 43. Determine the quantity of stock 50% EtOH required to prepare 200 mL of a 30% EtOH solution? 44. Determine the concentration of a solution if 175 mL of a 30% buffer solution was diluted to a final volume of 1000 mL . VI. Beers Law A. A manual sodium chloride assay was perfo rmed using 10 mg/dl, 20 mg/dl, 40 mg/dl and 60 mg/dL standards. The following is a list of the absorbance of each standard. Standard Concentration Absorbance 10 mg/dl 0.200 20 mg/dl 0.400 40 mg/dl 0.600 60 mg/dl 0.800 45. Using the absorbance values and the concentration of each standard complete the appropriate standard curve on a separate paper (2 points) . 46. If the patient sample was also analyzed at the same time that the standards we analyzed and had an absorbance value of 0.500, what would the sodium chloride concertation be? B. A total protein assay was performed using four protein standards. The following is a list of the absorbance of each standard. Standard Concentration Absorbance 2.00 mg/dl 0.275 5.00 mg/dl 0.4 50 10.00 mg/dl 0.700 20.00 mg/dl 0.950 46. Using the absorbance values and the concentration of each standard complete the appropriate standard curve on a separate paper (2 points) . 47. If the patient sample was also analyzed at the same time that the standards we analyzed and had an absorbance value of 0.600, what would the total protein concertation be? 48. If another patient sample was also analyzed at the same time that the standards we analyzed and had an absorbance value of 0.875, what would the total protein concertation be? VII. Quality Assurance Statistics Given the following group of glucose results solve the following problems: Sample Concentration (mg/dL) 1 80 2 85 3 94 4 105 5 111 6 123 7 130 8 141 9 147 10 160 49. Calculate the mean for the group of glucose val ues. 50. Calculate the standard deviation (SD) for the set of glucose values. 51. Calculate the coefficient of variation associated with this group of glucose values. 52. Prepare a Levey -Jennings chart and using the data provided above indicate the following on the chart (and list it here as well , 4 points ): a. Control range of +/ – 1 SD of the mean b. Control range of +/ – 2 SD of the mean c. Control range of +/ – 3 SD of the mean

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