8. A scuba tank is filled with air to a gauge pressure of 225 atm when the air temperature is 22°C. When the scuba tank is submerged in the ocean the pressure in the tank drops to 182 atm. Assuming none of the air left the tank, what is the temperature of the ocean water?
Kinetic Theory of Gas
The Kinetic Theory of gases is a classical model of gases, according to which gases are composed of molecules/particles that are in random motion. While undergoing this random motion, kinetic energy in molecules can assume random velocity across all directions. It also says that the constituent particles/molecules undergo elastic collision, which means that the total kinetic energy remains constant before and after the collision. The average kinetic energy of the particles also determines the pressure of the gas.
P-V Diagram
A P-V diagram is a very important tool of the branch of physics known as thermodynamics, which is used to analyze the working and hence the efficiency of thermodynamic engines. As the name suggests, it is used to measure the changes in pressure (P) and volume (V) corresponding to the thermodynamic system under study. The P-V diagram is used as an indicator diagram to control the given thermodynamic system.
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**Problem Statement:**
A scuba tank is filled with air to a gauge pressure of 225 atm when the air temperature is 22°C. When the scuba tank is submerged in the ocean, the pressure in the tank drops to 182 atm. Assuming none of the air left the tank, what is the temperature of the ocean water?
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This text can be used for educational purposes to understand the concepts of pressure, temperature, and the behavior of gases, particularly in relation to the ideal gas law. It poses a problem that involves calculating changes in temperature under different pressure conditions.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe591ff8b-7fbf-41eb-ab1a-65fc8e854653%2F31be5875-95e1-4da8-a03e-657078672962%2F69q9kvf_processed.jpeg&w=3840&q=75)
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