When considering gas kinetics, the formula for kinetic energy is very useful: KE

Question

When considering gas kinetics, the formula for kinetic energy is very useful: KE = (.5)mV^2. a. Compare the following gases and determine which one has a larger kinetic energy if they both have the same velocity. Oxygen is an essential component for human life. It is used in the metabolic process through which ATP is made. The movement of oxygen throughout the body is achieved by diffusion down pressure gradients established in the various physiological compartments. What is the partial pressure of oxygen in the air? If a person inhales one liter of oxygen (P = partial pressure in the air) into their lungs (volume of 5 liters) what is the final partial pressure of oxygen in the lungs? The root at room temperature (25C) and the person has a temperature of 37 degree C. Assume that oxygen exchange or mixing occurs in the lungs (i.e. n is constant).

Explanation / Answer

a)i) Oxygen as its molecular weight is higher than Helium

ii) Argon as its molecular weight is higher than Neon

a) Partial pressure of oxygen in inspired air = 159 mmHg

Partial pressure of oxygen in alveolar air = 105 mmHg

b) From Charle's law P1/T1 = P2/T2

=> 159/298 = x/310

=> x = 165.4 mm Hg

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