3000 milliliters in 18 hours is how many liters per day?
The Correct Answer and Explanation is:
To convert 3000 milliliters in 18 hours to liters per day, follow these steps:
Step-by-step Calculation:
- Convert milliliters to liters:
Since 1000 milliliters (mL) equal 1 liter (L), 3000 mL=30001000=3 L3000 \, \text{mL} = \frac{3000}{1000} = 3 \, \text{L}3000mL=10003000=3L - Find the rate per hour:
If 3 liters are administered over 18 hours, then the rate is: 3 L18 hr=0.1667 L/hr\frac{3 \, \text{L}}{18 \, \text{hr}} = 0.1667 \, \text{L/hr}18hr3L=0.1667L/hr - Convert to liters per day (24 hours): 0.1667 L/hr×24 hr/day=4.0008 L/day0.1667 \, \text{L/hr} \times 24 \, \text{hr/day} = 4.0008 \, \text{L/day}0.1667L/hr×24hr/day=4.0008L/day Rounding to appropriate precision, the final answer is:
4 liters per day
Explanation
This problem requires converting a flow rate given in milliliters over a specific number of hours into a daily rate in liters. First, it is important to recognize the units involved. Milliliters and liters are both volume units, but 1 liter equals 1000 milliliters. Therefore, converting milliliters to liters helps in standardizing the unit of volume for easier calculation.
Next, we are given that 3000 milliliters are administered in 18 hours. After converting this to 3 liters, the next logical step is to determine how many liters are administered per hour. This is done by dividing the total liters by the number of hours. That gives us the hourly rate, which is approximately 0.1667 liters per hour.
To find how much would be administered in a full 24-hour day, we multiply this hourly rate by 24. This gives the daily administration rate, which comes out to be about 4 liters.
This kind of conversion is common in clinical or medical settings, especially when calculating intravenous fluid administration rates. It is also relevant in environmental science, engineering, or any field where flow rates over time need to be scaled up or down. Always remember to convert units to be consistent and to align the time units accordingly—here, converting from an 18-hour duration to a full 24-hour day.
