The Pressure and density of a diatomic gas γ=(7 / 5) Change adiabatically from (P, d) to (P^1,

step 1 Hello friends in the question it is given that the pressure and density of diatomic gas for that

The Pressure and density of a diatomic gas γ=(7 / 5) Change...

The Pressure and density of a diatomic gas $\gamma=(7 / 5)$ Change adiabatically from $(\mathrm{P}, \mathrm{d})$ to $\left(\mathrm{P}^{1}, \mathrm{~d}^{1}\right)$ If $\left(\mathrm{d}^{\prime} / \mathrm{d}\right)=32$ then $\left(p^{\prime} / p\right)$ Should be (A) 128 (B) $\{1 /(128)\}$ (C) 32 (D) None of this

The Pressure and density of a diatomic gas $\gamma=(7 / 5)$ Change adiabatically from $(\mathrm{P}, \mathrm{d})$ to $\left(\mathrm{P}^{1}, \mathrm{~d}^{1}\right)$ If $\left(\mathrm{d}^{\prime} / \mathrm{d}\right)=32$
then $\left(p^{\prime} / p\right)$ Should be
(A) 128
(B) $\{1 /(128)\}$
(C) 32
(D) None of this

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Adiabatic Process

An adiabatic process is a thermodynamic process in which no heat is exchanged between the system and its surroundings. This means that all changes in the system's internal energy are due solely to work done by or on the system. In adiabatic processes involving ideal gases, the pressure and density (or volume) are related through specific power-law relations that are dictated by the thermodynamic properties of the gas.

Ratio of Specific Heats (?)

The ratio of specific heats, often denoted by ?, is the ratio of the heat capacity at constant pressure to the heat capacity at constant volume. It is a critical parameter in characterizing the behavior of gases during adiabatic processes. For diatomic gases, ? is commonly taken as 7/5, reflecting the degrees of freedom available to such molecules at typical temperatures.

Pressure-Density Relationship in Adiabatic Processes

In an adiabatic process involving an ideal gas, the pressure and density of the gas are related by the equation p ? ?^?, where ? is the ratio of specific heats. This means that if the density changes by a certain factor, the pressure changes by that factor raised to the power ?. This relationship allows one to predict the change in pressure based on a given change in density during adiabatic compression or expansion.

Transcript

Please give Ace some feedback