Solved on Feb 23, 2024

Find the volume in mL to administer 23 mg of valium given a 10 mL bottle containing 100 mg of solution.

STEP 1

Assumptions
1. The required dose of valium is $23 \mathrm{mg}$ .
2. The bottle contains $10 \mathrm{mL}$ of solution.
3. The concentration of the solution is $100 \mathrm{mg}$ per $10 \mathrm{mL}$ .

STEP 2

First, we need to determine the concentration of valium in $\mathrm{mg}$ per $\mathrm{mL}$ .
$Concentration = \frac{Total\, amount\, of\, drug}{Volume\, of\, solution}$

STEP 3

Now, plug in the given values for the total amount of drug and the volume of solution to calculate the concentration.
$Concentration = \frac{100 \mathrm{mg}}{10 \mathrm{mL}}$

STEP 4

Calculate the concentration in $\mathrm{mg}$ per $\mathrm{mL}$ .
$Concentration = \frac{100 \mathrm{mg}}{10 \mathrm{mL}} = 10 \mathrm{mg/mL}$

STEP 5

Now that we know the concentration, we can find out how many $\mathrm{mL}$ are needed to provide the required $23 \mathrm{mg}$ dose of valium.
$Volume\, to\, administer = \frac{Required\, dose}{Concentration}$

STEP 6

Plug in the values for the required dose and the concentration to calculate the volume to administer.
$Volume\, to\, administer = \frac{23 \mathrm{mg}}{10 \mathrm{mg/mL}}$

STEP 7

Calculate the volume to administer in $\mathrm{mL}$ .
$Volume\, to\, administer = \frac{23 \mathrm{mg}}{10 \mathrm{mg/mL}} = 2.3 \mathrm{mL}$
You would give $2.3 \mathrm{mL}$ of the solution to administer a dose of $23 \mathrm{mg}$ of valium.

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Find the volume in mL to administer 23 mg of valium given a 10 mL bottle containing 100 mg of solution.

STEP 1

Assumptions
1. The required dose of valium is $23 \mathrm{mg}$ .
2. The bottle contains $10 \mathrm{mL}$ of solution.
3. The concentration of the solution is $100 \mathrm{mg}$ per $10 \mathrm{mL}$ .

STEP 2

First, we need to determine the concentration of valium in $\mathrm{mg}$ per $\mathrm{mL}$ .
$Concentration = \frac{Total\, amount\, of\, drug}{Volume\, of\, solution}$

STEP 3

Now, plug in the given values for the total amount of drug and the volume of solution to calculate the concentration.
$Concentration = \frac{100 \mathrm{mg}}{10 \mathrm{mL}}$

STEP 4

Calculate the concentration in $\mathrm{mg}$ per $\mathrm{mL}$ .
$Concentration = \frac{100 \mathrm{mg}}{10 \mathrm{mL}} = 10 \mathrm{mg/mL}$

STEP 5

Now that we know the concentration, we can find out how many $\mathrm{mL}$ are needed to provide the required $23 \mathrm{mg}$ dose of valium.
$Volume\, to\, administer = \frac{Required\, dose}{Concentration}$

STEP 6

Plug in the values for the required dose and the concentration to calculate the volume to administer.
$Volume\, to\, administer = \frac{23 \mathrm{mg}}{10 \mathrm{mg/mL}}$

STEP 7

Calculate the volume to administer in $\mathrm{mL}$ .
$Volume\, to\, administer = \frac{23 \mathrm{mg}}{10 \mathrm{mg/mL}} = 2.3 \mathrm{mL}$
You would give $2.3 \mathrm{mL}$ of the solution to administer a dose of $23 \mathrm{mg}$ of valium.

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Find the volume in mL to administer 23 mg of valium given a 10 mL bottle containing 100 mg of solution.

STEP 1

Assumptions1. The required dose of valium is 23mg23 \mathrm{mg}23mg.2. The bottle contains 10mL10 \mathrm{mL}10mL of solution.3. The concentration of the solution is 100mg100 \mathrm{mg}100mg per 10mL10 \mathrm{mL}10mL.

STEP 2

First, we need to determine the concentration of valium in mg\mathrm{mg}mg per mL\mathrm{mL}mL.Concentration=Total amount of drugVolume of solutionConcentration = \frac{Total\, amount\, of\, drug}{Volume\, of\, solution}Concentration=VolumeofsolutionTotalamountofdrug​

STEP 3

Now, plug in the given values for the total amount of drug and the volume of solution to calculate the concentration.Concentration=100mg10mLConcentration = \frac{100 \mathrm{mg}}{10 \mathrm{mL}}Concentration=10mL100mg​

STEP 4

Calculate the concentration in mg\mathrm{mg}mg per mL\mathrm{mL}mL.Concentration=100mg10mL=10mg/mLConcentration = \frac{100 \mathrm{mg}}{10 \mathrm{mL}} = 10 \mathrm{mg/mL}Concentration=10mL100mg​=10mg/mL

STEP 5

STEP 6

Plug in the values for the required dose and the concentration to calculate the volume to administer.Volume to administer=23mg10mg/mLVolume\, to\, administer = \frac{23 \mathrm{mg}}{10 \mathrm{mg/mL}}Volumetoadminister=10mg/mL23mg​

STEP 7

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Assumptions
1. The required dose of valium is $23 \mathrm{mg}$ .
2. The bottle contains $10 \mathrm{mL}$ of solution.
3. The concentration of the solution is $100 \mathrm{mg}$ per $10 \mathrm{mL}$ .

First, we need to determine the concentration of valium in $\mathrm{mg}$ per $\mathrm{mL}$ .
$Concentration = \frac{Total\, amount\, of\, drug}{Volume\, of\, solution}$

Now, plug in the given values for the total amount of drug and the volume of solution to calculate the concentration.
$Concentration = \frac{100 \mathrm{mg}}{10 \mathrm{mL}}$

Calculate the concentration in $\mathrm{mg}$ per $\mathrm{mL}$ .
$Concentration = \frac{100 \mathrm{mg}}{10 \mathrm{mL}} = 10 \mathrm{mg/mL}$

Plug in the values for the required dose and the concentration to calculate the volume to administer.
$Volume\, to\, administer = \frac{23 \mathrm{mg}}{10 \mathrm{mg/mL}}$