Answer :
To solve this problem, we need to determine how long it will take to infuse 500 cc of saline using a 20 gtts/ml set, with a drip rate of 6 drops per second.
Here’s how to approach this:
1. Understand the Requirement:
- We have 500 cc (cubic centimeters) of saline to infuse.
- The drip set delivers 20 drops (gtts) per milliliter (ml).
- The infusion rate is 6 drops per second.
2. Convert Volume from cc to ml:
- Since 1 cc is equal to 1 ml, 500 cc is the same as 500 ml.
3. Calculate the Total Number of Drops Needed:
- Since the drip set delivers 20 drops per ml, for 500 ml, the total number of drops is:
[tex]\[
\text{Total Drops} = 500 \text{ ml} \times 20 \text{ drops/ml} = 10,000 \text{ drops}
\][/tex]
4. Determine the Time to Administer the Drops:
- With a rate of 6 drops per second, the total time in seconds needed is:
[tex]\[
\text{Total Time (seconds)} = \frac{10,000 \text{ drops}}{6 \text{ drops/second}} \approx 1666.67 \text{ seconds}
\][/tex]
5. Convert Time to Minutes:
- There are 60 seconds in a minute, so convert the time from seconds to minutes:
[tex]\[
\text{Total Time (minutes)} = \frac{1666.67 \text{ seconds}}{60} \approx 27.78 \text{ minutes}
\][/tex]
Considering the available options, 27.78 minutes is closest to 28 minutes. Therefore, the infusion will take approximately 28 minutes.
Final Answer: 28 minutes.
Here’s how to approach this:
1. Understand the Requirement:
- We have 500 cc (cubic centimeters) of saline to infuse.
- The drip set delivers 20 drops (gtts) per milliliter (ml).
- The infusion rate is 6 drops per second.
2. Convert Volume from cc to ml:
- Since 1 cc is equal to 1 ml, 500 cc is the same as 500 ml.
3. Calculate the Total Number of Drops Needed:
- Since the drip set delivers 20 drops per ml, for 500 ml, the total number of drops is:
[tex]\[
\text{Total Drops} = 500 \text{ ml} \times 20 \text{ drops/ml} = 10,000 \text{ drops}
\][/tex]
4. Determine the Time to Administer the Drops:
- With a rate of 6 drops per second, the total time in seconds needed is:
[tex]\[
\text{Total Time (seconds)} = \frac{10,000 \text{ drops}}{6 \text{ drops/second}} \approx 1666.67 \text{ seconds}
\][/tex]
5. Convert Time to Minutes:
- There are 60 seconds in a minute, so convert the time from seconds to minutes:
[tex]\[
\text{Total Time (minutes)} = \frac{1666.67 \text{ seconds}}{60} \approx 27.78 \text{ minutes}
\][/tex]
Considering the available options, 27.78 minutes is closest to 28 minutes. Therefore, the infusion will take approximately 28 minutes.
Final Answer: 28 minutes.
