Application of Partial Pressures You have just landed on a new planet and are re
ID: 480894 • Letter: A
Question
Application of Partial Pressures
You have just landed on a new planet and are responsible for analyzing the composition of the atmosphere. After collecting a sample of the atmosphere and analyzing it, you discover that the total atmospheric pressure is 540 mmHg. Using your knowledge of partial pressures, fill out the table below. Assume that the water vapor pressure is the same as on Earth.
Match the numbers with their appropriate slots.
Explanation / Answer
Let us consider each case
i) Dry air,
We know that the relation between partial pressure and mole fraction is
Partial pressure = mole fraction X total pressure of mixture of gases
As given
Mole fraction of nitrogen = 0.79
Partial pressure of nitrogen = 0.79 X 540 mmHg = 426.6 mmHg
Mole fraction of oxygen = 0.21
Partial pressure of oxygen = 0.21 X 540 = 113.4 mmHg
Mole fraction of CO2 = 0.0003
Partial pressure of CO2 = 0.0003 X 540 = 0.162 mmHg
(ii) Humid air
The pressure of water vapour = 23.8 mmHg
So the pressure of dry air = 540 - 23.8 = 516.2 mmHg
Partial pressure = mole fraction X total pressure of mixture of gases
As given
Mole fraction of nitrogen = 0.79
Partial pressure of nitrogen = 0.79 X 516.2 mmHg = 407.798 mmHg
Mole fraction of oxygen = 0.21
Partial pressure of oxygen = 0.21 X 516.2= 108.402 mmHg
Mole fraction of CO2 = 0.0003
Partial pressure of CO2 = 0.0003 X 516.2 = 0.155 mmHg
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