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nexus9112 [7]
3 years ago
7

When 23 mL of water for injection is added to a drug-lyophilized powder, the resulting concentration is 200,000 units per mL. Wh

at is the volume of the dry powder if the amount of drug in the vial was 5,000,000 units? .
Mathematics
1 answer:
givi [52]3 years ago
4 0

Answer:

2 mL

Step-by-step explanation:

Given:

Volume of water for injection = 23 mL

Resulting concentration = 200,000 units per mL

Amount of drug in the vial = 5,000,000 units

Now,

Let the final volume of the solution be 'x' mL

Now, concentration = \frac{\textup{units of the powder}}{\textup{Total volume of the soltuion}}

thus,

200,000 = \frac{\textup{5,000,000}}{\textup{x}}

or

x = 25 mL

also,

Total volume 'x' = volume of water + volume of powder

or

25 mL = 23 + volume of powder

or

Volume of powder = 2 mL

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