The air in a scuba tank is comprised of 40.8 atm O2, 152.1 atm N2, 1.76 atm Ar, and 0.340 atm of other gases. What is the total pressure of the air in the tank? PTotal = [?] atm
Ideal and Real Gases
Ideal gases obey conditions of the general gas laws under all states of pressure and temperature. Ideal gases are also named perfect gases. The attributes of ideal gases are as follows,
Gas Laws
Gas laws describe the ways in which volume, temperature, pressure, and other conditions correlate when matter is in a gaseous state. The very first observations about the physical properties of gases was made by Robert Boyle in 1662. Later discoveries were made by Charles, Gay-Lussac, Avogadro, and others. Eventually, these observations were combined to produce the ideal gas law.
Gaseous State
It is well known that matter exists in different forms in our surroundings. There are five known states of matter, such as solids, gases, liquids, plasma and Bose-Einstein condensate. The last two are known newly in the recent days. Thus, the detailed forms of matter studied are solids, gases and liquids. The best example of a substance that is present in different states is water. It is solid ice, gaseous vapor or steam and liquid water depending on the temperature and pressure conditions. This is due to the difference in the intermolecular forces and distances. The occurrence of three different phases is due to the difference in the two major forces, the force which tends to tightly hold molecules i.e., forces of attraction and the disruptive forces obtained from the thermal energy of molecules.
![**Calculating the Total Pressure in a Scuba Tank**
The air in a scuba tank is composed of the following gases with their respective partial pressures:
- Oxygen (\(O_2\)): 40.8 atm
- Nitrogen (\(N_2\)): 152.1 atm
- Argon (\(Ar\)): 1.76 atm
- Other gases: 0.340 atm
To determine the total pressure of the air within the scuba tank, we simply need to sum up these partial pressures. This can be represented by the equation for total pressure (\(P_{Total}\)):
\[P_{Total} = P_{O_2} + P_{N_2} + P_{Ar} + P_{\text{other gases}}\]
Here, combining the partial pressures:
\[P_{Total} = 40.8 \, \text{atm} + 152.1 \, \text{atm} + 1.76 \, \text{atm} + 0.340 \, \text{atm}\]
By adding these values together, we get:
\[P_{Total} = 195.0 \, \text{atm}\]
Thus, the total pressure of the air in the scuba tank is 195.0 atm.
Keep in mind that this calculation assumes ideal gas behavior and no interactions between different gas molecules. Understanding such basic principles of gas mixtures is essential for fields like chemistry, physics, and engineering.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F700c4a60-c23b-4831-bc86-570cd868908f%2Fd3dfa289-73e6-45d3-ad7b-0c08b0c5fbbd%2Fw57chwg_processed.jpeg&w=3840&q=75)
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