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Solution: Atop Mt. Everest, the atmospheric pressure is 210

Chapter 5, Problem 5.133

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QUESTION:

Atop Mt. Everest, the atmospheric pressure is 210 mmHg and the air density is 0.426 kg/m3 . (a) Calculate the air temperature, given that the molar mass of air is 29.0 g/mol. (b) Assuming no change in air composition, calculate the percent decrease in oxygen gas from sea level to the top of Mt. Everest.

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QUESTION:

Atop Mt. Everest, the atmospheric pressure is 210 mmHg and the air density is 0.426 kg/m3 . (a) Calculate the air temperature, given that the molar mass of air is 29.0 g/mol. (b) Assuming no change in air composition, calculate the percent decrease in oxygen gas from sea level to the top of Mt. Everest.

ANSWER:

Step 1 of 3

(a)

According to ideal gas law, the number of moles can be calculated by following formula.

                                                  ........................(1)

Rearrange the formula(1)

                                                     .......................(2)
                                                     

Here,

P = pressure

V = Volume

n = Number of moles

R = Gas constant

T = Temperature.

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