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please help with these dilution problems! It would be great if you could show th

ID: 564925 • Letter: P

Question

please help with these dilution problems! It would be great if you could show the work so I can understand how to do them.

1. Make a 75mg/dl solution using a 450mg/dl stock solution.

2. How many microliters of serum will be needed to make 500 microliters of a 1 to 5 diltuion in saline?

3. A samle of 200 microliters of blood needs to be diluted 1 to 50. What will be the final volume of this dilution?

4. You need to make 50ml of a 1/250 dilution of urine in distilled water. How much diluent will you need?

Explanation / Answer

1. If the volume of solution to be prepared of stregth 75 mg/dl is V dL then the volume of the solution of strength 450 mg/dl is  

then, (V× 75)/450 = 0.167 V =V/6

So the volume is to take of 450 mg/dL is 1/6 th of the volume of the solution is to prepare of 75 mg/dL is

2. For 1 to 5 dilution final strength (Sf)=initial strength/5=Si/5

So, Sf/Si = 1/5

Vf=500 mL Vi=VfSf/Si = (500×1/5) mL = 100 mL

3. Vf=ViSi/Sf =(200×1/50) mL= 4 mL

4.VfSf=ViSi Vi=VfSf/Si = (50 × 1/250) mL= 0.2 mL

to mmake this 0.2 mL urine and (50-0.2) mL = 48.8 mL water is needed.