A student cramming for their final exam heats up 0.500 L of cold coffee in a Pyrex carafe. The carafe is filled to the brim with the coffee and both are initially at 20.0 degrees celcius. Once the temperature of both the coffee and the carafe have risen to 95.0 degree Celcius, how much coffee has spilled out? Given that the carafe is an isotropic solid, and that the coefficient of linear thermal expansion for Pyrex is: 3.3 x 10^-6 K^-1 and that the coefficient of volume thermal expansion for water (coffee) is 207 x 10^-6 K^-1.
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.
A student cramming for their final exam heats up 0.500 L of cold coffee in a Pyrex carafe. The carafe is filled to the brim with the coffee and both are initially at 20.0 degrees celcius. Once the temperature of both the coffee and the carafe have risen to 95.0 degree Celcius, how much coffee has spilled out? Given that the carafe is an isotropic solid, and that the coefficient of linear thermal expansion for Pyrex is: 3.3 x 10^-6 K^-1 and that the coefficient of volume thermal expansion for water (coffee) is 207 x 10^-6 K^-1.
Step by step
Solved in 2 steps with 2 images
