The label for lorazepam is shown below. How many grams of lorazepam are in 1.6 milliliters of this drug?
lorazepam
$4 mg / mL 1 mL$ Vial
For IM use REFRIGERATE for IV route, see directions
For IV use, additional dilution is required; see accompanying information. Usual Dosage: See accompanying information
Do not use if solution is discolored or contains a precipitate.
There are grams of lorazepam in 1.6 milliliters of this drug.
(Type an integer or a decimal.)

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Answer

Final Answer: There are $0.0064$ grams of lorazepam in 1.6 milliliters of this drug.

Steps

Step 1 ：The label indicates that there are 4 milligrams (mg) of lorazepam per milliliter (mL) of the drug.

Step 2 ：To find out how many grams of lorazepam are in 1.6 milliliters, we need to multiply the concentration (4 mg/mL) by the volume (1.6 mL).

Step 3 ： $c o n c e n t r a t i o n = 4$

Step 4 ： $v o l u m e = 1.6$

Step 5 ： $a m o u n t_{m g} = c o n c e n t r a t i o n \times v o l u m e = 4 \times 1.6 = 6.4$

Step 6 ：However, the result will be in milligrams, so we need to convert it to grams by dividing by 1000 (since there are 1000 milligrams in a gram).

Step 7 ： $a m o u n t_{g} = \frac{a m o u n t_{m g}}{1000} = \frac{6.4}{1000} = 0.0064$

Step 8 ：Final Answer: There are $0.0064$ grams of lorazepam in 1.6 milliliters of this drug.