13-An inflated bicycle inner tube is 2.3 cm in diameter and 190 cm in circumference. A small leak causes the gauge pressure to decrease from 120 psi to 80 psi on a day when the temperature is 27 degrees C. What mass of air is lost? Assume that 75% of air is Nitrogen and 25 % is Oxygen. Molar mass of Nitrogen is 28.0 g/mole and molar mass of Oxygen is 32.0 g/mole. 1 psi = 0.068 atm, and 1Passcal = 1.01*10³. (Help: find differences between numbers of moles. At the end multiply that differences by 75% that will be for nitrogen and multiply that differences by 25% and that will be for Oxygen. Then find mass for each gas, and then find total lost mass)
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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