Question

multiply all the values in the numerators and divide by the product of all denominators.
product of numerators
product of denominators
product of numerators / product of denominators
what is a product?
doctors recommendation
0.1 g dilantin
1
×
conversion factor
?
×
conversion factor
?
=
units needed
ml of dilantin

Explanation:

Step1: Identify given and needed units

Given: 0.1 g dilantin, needed: mL of dilantin.

Step2: Determine conversion factors

Typically, we need the concentration of dilantin solution. Let's assume the concentration is \(C\) g/mL (not given in the problem, but for illustration if \(C = 0.05\) g/mL).

Step3: Set up the calculation

The first conversion - factor to cancel out grams. If the concentration is \(C\) g/mL, the conversion factor is \(\frac{1}{C}\text{ mL/g}\). So the calculation is \(0.1\text{ g}\times\frac{1}{C}\text{ mL/g}\).
If \(C = 0.05\) g/mL, then:
\[0.1\text{ g}\times\frac{1}{0.05\text{ g/mL}}=\frac{0.1}{0.05}\text{ mL}\]

Step4: Calculate the result

\(\frac{0.1}{0.05}= 2\text{ mL}\)

Answer:

If the concentration of dilantin is \(0.05\) g/mL, the volume of dilantin is 2 mL. (Note: The actual answer depends on the correct concentration value which is not provided in the given information)