Question
Asked Nov 22, 2019
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A seizing patient needs an emergency injection of 10.0 mg of diazepam (C₁₆H₁₃N₂OCl; note: the last atom is a chlorine). The only solution of diazepam that is available is labeled as 20.00 mM. How many mL of diazepam should be administered?

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Expert Answer

Step 1

The given weight of diazepam is 10 mg.

It is known that 1 mg = 10-3 g.

 

Therefore, 10 mg = 10×10-3 g

 

The molar mass of diazepam is 284.7 g/mol.

Therefore, the number of moles of diazepam is,

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Weight Moles Molar mass 10 x10 g 284.7 g /mol =0.0351x103 mol

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Step 2

The given molarity is 20.0 mM.

 

It is known that 1 mM = 10-3 M.

 

Therefore, 20 mM = 20×10-3 M.

 

The mathematical expression of molarity is,

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Number of moles of solute Molarity Volume of solution in litres

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Step 3

Put the value of molarity and moles in the a...

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Number of moles of solute Molarity Volume of solution in litres 0.035 x 10 20 x 103 V 0.035 x103 V = 20x103 =0.00175

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