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A scuba diver 60ftbelow the ocean surface inhales 50.0mLof compressed air from a ccuba tank at a pressure of 3.00atmand a temperature of 8°C. What is the final pressure of air, in atmospheres, in the lungs when the gas expands to 150.0mLat a body temperature of 37°C, if the amount of gas does not change?

Short Answer

Expert verified

The final pressure of the gas is1.1atm.

Step by step solution

01

Given Information

We need to find the final pressure of gas.

02

Simplify

The combined gas law is:

P1×V1T1=P2×V2T2

Consider:

initial pressureP1=3atm

initial temperatureT1=8°C=8+273K=281K

initial volumeV1=50mL

final temperatureT2=37°C=37+273K=310K

final volumeV2=150mL

Now, calculating the final pressure P2is:

P2=P1×V1T1×V2T2P2=3atm×50mL281K×310K150mLP2=1.1atm

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