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in calculating solutions

Molecular Weights of Substances used in these examples:

 Substance (Abbreviation)

 Molecular Weight (MW)

 serotonin creatinine sulfate (5-HTcs)

 387.4

 serotonin (5-HT)

 176.3 (45.51% of 5HTcs)

 dopamine hydrochloride (DAHCl)

 189.6

 dopamine (DA)

 153.2 (80.10% of DAHCl)

Problem sets:

1. You have a 1M 5-HT solution. How many grams of substance are present in 20µl of this solution?

 g

 

2. You have a 1mM 5-HT solution. How many moles are present in 150µl of this solution?

 mol

 

3. 387.4µg 5-HTcs are disolved in 1ml H2O. What is the concentration of such a solution?

 M

 

4. The detection limit in our method of quantification for serotonin is at 1.763pg. We must inject a volume of 20µl. What minimum sample concentration can we measure?

 M

Answer

 

5. Use the detection limit from the previous example. In how much water can we dissolve 387.4g 5-HTcs and still measure it?

 l

 

6. We have beaker containing 15ml of a 1mM 5-HT solution. How many moles of substance are in this beaker?

 mol

 

7. Use the numbers from the previous example. How many grams of substance are in this beaker?

 g

 

8. We dilute 1ml of a 1M DA solution in an aquarium (1m x 1m x 0.5m). What is the resulting concentration of dopamine in the aquarium

 M

 

9. 387.4µg 5-HTcs and 189.6mg DAHCl are disolved in a mixture of 1l H2O and 1l MeOH. What are the resulting concentrations for DA and 5-HT?

 M (5HT)

 M (DA)

 

10. We dilute a haemolymph sample 1000 times. We then inject 20µl of this into our HPLC which measures 12.3pg 5-HT und 27.2pg DA. What were the concentrations of DA und 5-HT in the haemolymph?

 M (5HT)

 M (DA)

 

11. We place a crayfish brain into 100µl of 0.1M perchloric acid. We homogenize and then inject 20µl of this solution into our HPLC. Values are 12.3pg for 5-HT und 27.2pg for DA. How much DA und 5-HT were present in the brain?

 g (5HT)

 moles (DA)