Before you begin a day trip, you inflate the tires on your automobile to a recommended pressure of 3.21 X 105 Pa on a day when the temperature is -5.00°C. On your trip you drive to the beach, where the temperature is 28.0°C. (a) What is the final pressure in the tires, assuming constant volume? (b) (b) Derive a formula for the final pressure, assuming more realistically that the volume of the tires increases with increasing pressure as Vƒ = V; (1 + y[P₁ - P₁]) where y is an experimentally determined constant.
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.
Help with part b please
![Before you begin a day trip, you inflate the tires on your automobile to a recommended
pressure of 3.21 × 105 Pa on a day when the temperature is -5.00°C. On your trip you drive
to the beach, where the temperature is 28.0°C.
(a) What is the final pressure in the tires, assuming constant volume?
(b) (b) Derive a formula for the final pressure, assuming more realistically that the volume
of the tires increases with increasing pressure as Vƒ = V; (1 + y[Pƒ − Pi]) where y is
an experimentally determined constant.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe9a96325-e1c3-4b19-b1b4-8ad61c01db3d%2F905782e6-d323-4ed3-858e-5759d30dd4a9%2Fcm405rl_processed.png&w=3840&q=75)
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