What is the Difference Between Isothermal and Adiabatic Elasticity

Thekey difference between isothermal and adiabatic elasticityis that isothermal elasticity occurs when the temperature is kept constant, whereas adiabatic elasticity occurs when no netheat exchangeoccurs between the system and its surrounding.

等温弹性是elasticitythat occurs when the gas is compressed in a way that the temperature is kept constant under等温条件与相应的体积弹性相比。绝热弹性是与相应的弹性相比，在绝热条件下不允许热量进入或离开系统的方式，这种弹性的类型。

内容

1.Overview and Key Difference
2.什么是等温弹性
3.What is Adiabatic Elasticity
4.Isothermal vs Adiabatic Elasticity in Tabular Form
5.总结——等温vs Adiabatic Elasticity

什么是等温弹性?

等温弹性是当与相应体积弹性相比在等热条件下保持温度恒定的方式压缩气体时发生的弹性类型。这是k表示的_T.

在考虑在恒定温度下的完美气体时，

pV = constant

其中P是压力，V是体积。

By differentiating the above statement,

P + V.dp/dV = 0

P = – dp/(dV/V) = measure of volume elasticity.

因此，在等温条件下，

K_T= p

What is Adiabatic Elasticity?

Adiabatic elasticity is the type of elasticity that occurs when the gas is compressed in such a way that no heat is allowed to enter or leave the system under adiabatic conditions compared to the corresponding elasticity. This term is denoted by Kϕ.

When considering a perfect gas under adiabatic elasticity,

pVγ = constant

by differentiating the above expression we get,

p。γV^γ-1+ V^γ(dp/dV/V) = 0

γp = -dp/(dV/V) = measures the volume elasticity.

Therefore,

Kϕ = γp

What is the Difference Between Isothermal and Adiabatic Elasticity?

等温弹性是elasticity that occurs when the gas is compressed in such a way that the temperature is kept constant under isothermal conditions compared to the corresponding volume elasticity. Meanwhile, adiabatic elasticity is the type of elasticity that occurs when the gas is compressed in such a way that no heat is allowed to enter or leave the system under adiabatic conditions compared to the corresponding elasticity. So, the key difference between isothermal and adiabatic elasticity is that isothermal elasticity occurs when the temperature is kept constant, whereas adiabatic elasticity occurs when there is no net heat exchange between the system and its surrounding.

The below infographic presents the differences between isothermal and adiabatic elasticity in tabular form for side by side comparison.

总结——等温vs Adiabatic Elasticity

Isothermal and adiabatic elasticities are important terms in physical chemistry. Isothermal elasticity is the type of elasticity that occurs when the gas is compressed in such a way that the temperature is kept constant under isothermal conditions compared to the corresponding volume elasticity. On the other hand, adiabatic elasticity is the type of elasticity that occurs when the gas is compressed in such a way that no heat is allowed to enter or leave the system under adiabatic conditions compared to the corresponding elasticity. Thus, the key difference between isothermal and adiabatic elasticity is that isothermal elasticity occurs when the temperature is kept constant, whereas adiabatic elasticity occurs when there is no net heat exchange between the system and its surrounding.