How Do You Convert The Unit Mg To ML In Volume?

I'm working on a chemistry conversion problem: Chloral hydrate, a sedative and sleep-inducing drug is available as a solution labeled 10.0 gr/fluidram. What volume in milliliters should be administered to a patient who is meant to receive 7.5 gr per dose? (1 gr=64.8 mg; 1 fluidram=3.72 mL)

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Nhia

asked 2 years ago

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The solution is labeled as 10.0gr/fluidram
Which means that 10.0gr of the medicine are dissolved in 1 fluidram solution. So 7.5gr will be dissolved in = 7.5/10.0 => 0.75 fluidram
Now we know that 1 fluidram is equal to 3.72mL.
So 0.75 fluidram = 0.75 x 3.72 => 2.79mL
1gr = 64.8mg
Then 7.5gr= 7.5 x 64.8 =486mg
So you would give the patient 2.79mL or 486mg of the dose.