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Please show step by step on how to solve the problem. In this problem you have t

ID: 992384 • Letter: P

Question

Please show step by step on how to solve the problem.

In this problem you have to take a mechanically ventilated patient from the intensive care setting to obtain an MRI. You leave the ICU within oxygen tank (E cylinder, which has a volume of 4.4L) which is pressurized to 2200 psi and starts out full. The fresh gas flow is set to 8.2L/minute and it takes you 20 minutes to transport the patient to the MR. The gas cylinder of course is left outside the room with the superconducting magnet; however, unfortunately, the cylinder valve was not closed and gas remained flowing at 8.2 L/minute. The patient is in the scanner for about 90 minutes due to the number of scans requested and because the patient moved requiring certain scans to be repeated. You discover the valve problem when it's time to take the patient back to the ICU and of course the question is is there enough oxygen remaining to support transport back?

A. yes

B. no

Explanation / Answer

It is given that tank volume is 4.4 L and it is at the pressure of 2200 psi and standard temperature that is 273K. let's calculate the volume at 1 atm pressure that 14.7 psi and normal temperature(20 degree C) that is 293 K . It combined gas law equation.

P1V1T2 = P2V2T1

V2 = P1V1T2/P2T1

V2 = (2200 psi x 4.4L x 293K)/(14.7 psi x 273K) = 706.7L

The low rate rate is 8.2 L/minute.

So, 706.7L x 1min/8.2L = 86 minutes

That means the gas supply would only be for 86 minutes.

Since, gas has already been used for 20 minutes in transport from ICU to MR scan point and 90 minutes were used in scaning. So, Total 110 minutes have already been passed that means the gas has already been finished while the patient was under MR scaning. So, there is no more gas supply available to supprot the transport back.

So, the answer is (B), no.

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