For adiabatic Process which relation is true mentioned below ? γ={Cp / Cv} (A) p^γ V=Const (B) T

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For adiabatic Process which relation is true mentioned below...

For adiabatic Process which relation is true mentioned below ? $\gamma=\left\{\mathrm{C}_{\mathrm{p}} / \mathrm{C}_{\mathrm{v}}\right\}$ (A) $\mathrm{p}^{\gamma} \mathrm{V}=\mathrm{Const}$ (B) $\mathrm{T}^{\gamma} \mathrm{V}=\mathrm{Const}$ (C) TV $^{\gamma}=$ Const (D) $\mathrm{TV}^{\gamma-1}=$ Const

For adiabatic Process which relation is true mentioned below ? $\gamma=\left\{\mathrm{C}_{\mathrm{p}} / \mathrm{C}_{\mathrm{v}}\right\}$
(A) $\mathrm{p}^{\gamma} \mathrm{V}=\mathrm{Const}$
(B) $\mathrm{T}^{\gamma} \mathrm{V}=\mathrm{Const}$
(C) TV $^{\gamma}=$ Const
(D) $\mathrm{TV}^{\gamma-1}=$ Const

Key Concepts

Adiabatic Equations for Ideal Gases

In an adiabatic process for an ideal gas, there are specific equations that describe the relationship between thermodynamic quantities. Commonly used relations include pV^? = constant and TV^(?-1) = constant, where p is the pressure, V is the volume, and T is the temperature. These equations arise from the first law of thermodynamics and the ideal gas law, and they allow one to predict how a gas will behave under adiabatic conditions.

Adiabatic Process

An adiabatic process is one in which a system does not exchange heat with its surroundings. In thermodynamics, this means that all the changes in the internal energy of the system come solely from work done on or by the system. Adiabatic processes can be reversible or irreversible, and they are characterized by a specific relationship between the pressure, volume, and temperature of the system when it involves an ideal gas.

Specific Heat Ratio (?)

The specific heat ratio, denoted as ? (gamma), is defined as the ratio of the specific heat at constant pressure (Cp) to the specific heat at constant volume (Cv). This ratio is a crucial parameter in thermodynamics because it determines the behavior of a gas during processes such as adiabatic expansion or compression. Values of ? vary with the type of gas and are used in formulating equations governing adiabatic processes.

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