For parts A) what are the air partial pressure and for B) partial pressure

Applications and Investigations in Earth Science (9th Edition)
9th Edition
ISBN:9780134746241
Author:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Publisher:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Chapter1: The Study Of Minerals
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For parts A) what are the air partial pressure and for B) partial pressure

Expert Solution
Step 1: solution

(a)

Before cloud formation, the air's partial pressure (Pa) and water vapor density (mg/m3) can be determined using the provided table.

According to the table, at a temperature of -50 °C, the saturated water vapor pressure is 4 Pa. This indicates that the maximum amount of water vapor the air can hold at this temperature is equivalent to a pressure of 4 Pa.

The water vapor density (mg/m3) can be calculated using the following formula:

Density = (Partial pressure Molecular weight) / (Gas constant Temperature)

where:

Partial pressure = 4 Pa Molecular weight of water (H2O) = 18.015 g/mol = 0.018015 g/mgGas constant = 8.314 J/(mol·K)Temperature =  -50°C=223.15°K

Plugging these values into the formula:

Density = (4 Pa 0.018015 g/mg) / (8.314 J/(mol·K) 223.15 K)

Density = 0.0000405m g over m cubed


Explanation

Therefore, prior to cloud formation, the air's partial pressure is 4 Pa and the water vapor density is approximately 0.0000405 mg/m3.

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