- #1
The adiabatic condition is:bobsmith76 said:Homework Statement
see attachmentThe Attempt at a Solution
I'm having trouble where they multiply (101,000 by 1.5 m3)5/3
I get 151,500 Pa*m5
not 199,000 Pa*m5
Adiabatic expansion is a process in thermodynamics where a gas expands without any heat being added or removed from the system. This means that the internal energy of the gas remains constant during the expansion.
In adiabatic expansion, no heat is transferred between the gas and its surroundings, whereas in isothermal expansion, the temperature of the gas remains constant throughout the expansion. This means that in adiabatic expansion, the gas experiences a change in temperature, while in isothermal expansion, the gas experiences a change in volume.
The equation for adiabatic expansion is P1V1γ = P2V2γ, where P is pressure, V is volume, and γ is the adiabatic index. This equation represents the relationship between pressure and volume during adiabatic expansion.
To solve for pressure and volume in adiabatic expansion, you can use the adiabatic expansion equation and plug in the initial values for pressure and volume, as well as the adiabatic index. Then, you can solve for the final values of pressure and volume.
Some real-world examples of adiabatic expansion include the expansion of a gas in a piston-cylinder system, the expansion of air in a tire, and the expansion of gas in a cooling system of a refrigerator. Adiabatic expansion is also used in the compression and expansion processes in heat engines such as car engines and gas turbines.