Question

question 29 1 point a pharmacy technician has a prescription to dispense 120 ml of codeine/guaifenesin solution 10 – 100 mg/5 ml. which of the following packages should the technician use to dispense this medication? an 8-oz prescription bottle. a 4-oz prescription bottle. a 2-oz prescription bottle. a 16-oz prescription bottle.

Explanation:

Step1: Convert mL to oz

We know that \( 1\ \text{oz} \approx 29.57\ \text{mL} \). To find out how many ounces are in \( 120\ \text{mL} \), we use the conversion formula: \( \text{oz} = \frac{\text{mL}}{29.57} \). So, \( \text{oz} = \frac{120}{29.57} \approx 4.06\ \text{oz} \).

Step2: Compare with bottle sizes

We need a bottle that can hold at least \( \approx 4.06\ \text{oz} \). An 8 - oz bottle can hold more than \( 4.06\ \text{oz} \), a 4 - oz bottle is close (and can hold \( 4\ \text{oz} \) which is just slightly less than \( 4.06\ \text{oz} \), but in practice, an 8 - oz bottle is a better fit as 4 - oz is very close and might be too small, but wait, actually \( 4\ \text{oz} \) is \( 4\times29.57 = 118.28\ \text{mL} \), which is less than \( 120\ \text{mL} \). An 8 - oz bottle is \( 8\times29.57=236.56\ \text{mL} \), which can hold \( 120\ \text{mL} \). Wait, maybe I made a mistake earlier. Let's recalculate:

Wait, actually, the common approximation is \( 1\ \text{oz} = 30\ \text{mL} \) (for simplicity in pharmacy). So \( 120\ \text{mL}\div30\ \text{mL/oz}=4\ \text{oz} \). But since \( 120\ \text{mL} \) is exactly \( 4\ \text{oz} \) (using \( 30\ \text{mL/oz} \)), but if we use the more accurate \( 29.57\ \text{mL/oz} \), \( 120\ \text{mL}\approx4.06\ \text{oz} \). So a 4 - oz bottle is \( 4\times29.57 = 118.28\ \text{mL} \), which is less than \( 120\ \text{mL} \). An 8 - oz bottle is \( 8\times29.57 = 236.56\ \text{mL} \), which can hold \( 120\ \text{mL} \). But wait, maybe the question uses \( 1\ \text{oz}=30\ \text{mL} \). Let's check with \( 1\ \text{oz} = 30\ \text{mL} \):

\( 120\ \text{mL}\div30\ \text{mL/oz}=4\ \text{oz} \). But if the bottle is 4 - oz, it can hold \( 4\times30 = 120\ \text{mL} \) (if we use \( 30\ \text{mL/oz} \)). But in reality, the conversion is \( 1\ \text{fluid ounce} \approx 29.57\ \text{milliliters} \). So \( 4\ \text{oz} \approx 118.28\ \text{mL} \), which is less than \( 120\ \text{mL} \). So we need a bottle that is at least \( \approx 4.06\ \text{oz} \), so an 8 - oz bottle is suitable. Wait, but maybe the options are based on the approximate \( 30\ \text{mL/oz} \). Let's re - evaluate:

If we take \( 1\ \text{oz}=30\ \text{mL} \), then \( 120\ \text{mL} = 4\ \text{oz} \). But a 4 - oz bottle (using \( 30\ \text{mL/oz} \)) would hold \( 4\times30 = 120\ \text{mL} \). But with the more accurate conversion, \( 4\ \text{oz} \) is about \( 118.28\ \text{mL} \), which is slightly less than \( 120\ \text{mL} \). So the next size up is 8 - oz. But maybe the question expects the use of \( 1\ \text{oz}=30\ \text{mL} \). Let's check the options:

- 2 - oz: \( 2\times30 = 60\ \text{mL} \) (too small)
- 4 - oz: \( 4\times30 = 120\ \text{mL} \) (exact with approximation)
- 8 - oz: \( 8\times30 = 240\ \text{mL} \) (can hold)
- 16 - oz: \( 16\times30 = 480\ \text{mL} \) (too big)

But since \( 120\ \text{mL} \) is exactly \( 4\ \text{oz} \) with the \( 30\ \text{mL/oz} \) approximation, but with the real conversion, 4 - oz is about \( 118.28\ \text{mL} \), which is just a bit less. However, in pharmacy, sometimes the approximation \( 1\ \text{oz}=30\ \text{mL} \) is used. So the 4 - oz bottle is close, but 8 - oz is also possible. Wait, maybe I made a mistake. Let's calculate the volume of each bottle:

- 2 - oz: \( 2\times29.57 = 59.14\ \text{mL} \) (too small)
- 4 - oz: \( 4\times29.57 = 118.28\ \text{mL} \) (less than 120 mL)
- 8 - oz: \( 8\times29.57 = 236.56\ \text{mL} \) (can hold 120 mL)
- 16 - oz: \( 16\times29.57 = 473.12\ \text{mL} \) (too big)

So since 4 - oz is about 118.28 mL, which is less than 120 mL, we need a bottle that can hold at least 120 mL. So the 8 - oz bottle can hold 236.56 mL, which is more than 120 mL. But wait, maybe the question has a typo or uses the 30 mL/oz approximation. If we use 30 mL/oz, 4 - oz is 120 mL, which is exact. So maybe the answer is an 8 - oz bottle? Wait, no, let's check again.

Wait, the problem is about dispensing 120 mL. Let's convert 120 mL to ounces:

\( 120\ \text{mL}\times\frac{1\ \text{oz}}{29.57\ \text{mL}}\approx4.06\ \text{oz} \)

So we need a bottle that is at least 4.06 oz. So the 8 - oz bottle is suitable (since 4 - oz is 118.28 mL < 120 mL, 8 - oz is 236.56 mL > 120 mL).

Answer:

An 8 - oz prescription bottle.