- #1
Reptic
- 10
- 0
Homework Statement
Air at 20C is compressed adiabetically from 1 bar to 10 bar. What will its temperature be?
Homework Equations
pV = nRT,
P1P2=T1T2
P1Vλ1=P2V2λ
The Attempt at a Solution
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Are you familiar with the first law of thermodynamics? Are you supposed to assume that the compression takes place reversibly?Reptic said:no, should be kelvin 293 right?
Adiabatic compression is a process in thermodynamics where the temperature of a gas increases as it is compressed without any heat being added or removed. This is due to the conversion of work into internal energy.
In isothermal compression, the temperature of the gas remains constant as it is compressed, while in adiabatic compression, the temperature increases. This is because in adiabatic compression, no heat is exchanged with the surroundings, while in isothermal compression, heat is added or removed to maintain the temperature.
Adiabatic compression is commonly used in air compressors, gas turbines, and internal combustion engines. It is also used in refrigeration and air conditioning systems to compress refrigerant gases.
The adiabatic compression equation is P1V1^γ = P2V2^γ, where P1 and V1 are the initial pressure and volume, P2 and V2 are the final pressure and volume, and γ is the ratio of specific heats for the gas.
Adiabatic compression assumes that there is no heat exchange with the surroundings, but in reality, there is always some heat transfer. This can result in a less efficient compression process. Additionally, adiabatic compression can lead to a significant increase in temperature, which can be problematic for some applications.