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A patient is using an H cylinder for home oxygen therapy with a nasal canmula at 8 L/min. When checking the pressure gauge. you note that there is 1800PSi 1 point left in the tank. How long will this tank last? Calculate your answer in hours: hours

User Samnu Pel
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1 Answer

1 vote

Final answer:

The tank will last for approximately 29 seconds.

Step-by-step explanation:

To calculate how long the tank will last, we need to convert the remaining pressure from psi to bar. 1 psi is approximately equal to 0.06895 bar. So, if there is 1800 psi, it is equal to 1800 * 0.06895 = 124.11 bar.

Next, we can use the formula P1V1 = P2V2, where P1 is the initial pressure, V1 is the initial volume, P2 is the final pressure, and V2 is the final volume. We know that P1 = 124.11 bar, V1 is the volume of the tank (which is not given), P2 = 1 bar (atmospheric pressure), and V2 is the flow rate which is 8 L/min.

Solving for V1:

(124.11 bar)(V1) = (1 bar)(8 L/min)

V1 = (8 L/min) / (124.11 bar) = 0.064 L. This means that the volume of one point in this case is 0.064 L.

Since there is 1 point left in the tank, the total volume remaining is 0.064 L * 1 point = 0.064 L.

To calculate the time, we divide the remaining volume by the flow rate:

Time = (0.064 L) / (8 L/min) = 0.008 hours, which is approximately 29 seconds.

User Jennifer Zouak
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