What converts 45 LPM to mL/sec for further calculations?
Understand the Problem
The question is asking how to convert a flow rate from liters per minute (LPM) to milliliters per second (mL/sec), which is a conversion problem related to units of measurement.
Answer
$$ \frac{50X}{3} $$
Answer for screen readers
$$ \text{Flow rate in mL/sec} = \frac{50X}{3} $$
Steps to Solve
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Identify the conversion factors To convert from liters to milliliters, we need to know that 1 liter is equal to 1000 milliliters. Also, we will convert minutes to seconds, knowing that 1 minute is equal to 60 seconds.
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Convert the flow rate from liters per minute to milliliters per minute If the flow rate is given as $X$ liters per minute (LPM), we can convert this to milliliters per minute (mL/min) using the conversion factor: $$ \text{Flow rate in mL/min} = X \times 1000 $$
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Convert milliliters per minute to milliliters per second Now, to convert from milliliters per minute to milliliters per second, we will use the conversion factor: $$ \text{Flow rate in mL/sec} = \frac{\text{Flow rate in mL/min}}{60} $$
Putting it all together: $$ \text{Flow rate in mL/sec} = \frac{X \times 1000}{60} $$
- Simplify the expression This can be simplified further: $$ \text{Flow rate in mL/sec} = \frac{1000X}{60} = \frac{50X}{3} $$
Thus, we can express the final formula for flow rate in mL/sec based on the initial flow rate in LPM.
$$ \text{Flow rate in mL/sec} = \frac{50X}{3} $$
More Information
This formula allows you to convert any flow rate measured in liters per minute to milliliters per second. Since there are 1000 milliliters in a liter and 60 seconds in a minute, this conversion helps in various scientific and engineering applications.
Tips
- Forgetting to convert both liters to milliliters and minutes to seconds can lead to incorrect results.
- Not simplifying the final expression can cause confusion when interpreting the answer.
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