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What is an adiabatic index why its value greater than unity?

Posted on September 20, 2022 by Author

Table of Contents

  • 1 What is an adiabatic index why its value greater than unity?
  • 2 What is meant by adiabatic index?
  • 3 Which gas has highest value of adiabatic index?
  • 4 Is it possible for γ to be smaller than unity?
  • 5 Why is the molar heat at constant pressure greater than the molar heat at constant volume?
  • 6 Why is the molar heat capacity of a gas at constant pressure always greater than that at constant volume?

What is an adiabatic index why its value greater than unity?

Explanation: It is amount of heat required per unit mass for unit temperature rise. So for same amount of temperature rise more heat is required in constant pressure process compared with constant volume process. So Cp>Cv, Hence it’s ratio is greater than unity.

What is meant by adiabatic index?

In thermal physics and thermodynamics, the heat capacity ratio, also known as the adiabatic index, the ratio of specific heats, or Laplace’s coefficient, is the ratio of the heat capacity at constant pressure (CP) to heat capacity at constant volume (CV). The pressure inside is equal to atmospheric pressure.

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What is the value of isentropic index for adiabatic process?

The ratio of the specific heats γ = CP/CV is a factor in determining the speed of sound in a gas and other adiabatic processes as well as this application to heat engines. This ratio γ = 1.66 for an ideal monoatomic gas and γ = 1.4 for air, which is predominantly a diatomic gas.

Why does the heat capacity at constant pressure is greater than the heat capacity at constant volume?

Heat capacity at constant pressure is always greater because it includes both internal energy of the system and the boundary work(expansion process). Whereas , at constant volume it only includes the internal energy of the system.

Which gas has highest value of adiabatic index?

For an ideal monatomic gas (e.g., Helium, Argon, etc.),

  • For diatomic gases, the adiabatic index is 7/5 or 1.4.
  • For polyatomic gases, the adiabatic index is even lesser than the monoatomic and diatomic gases.
  • Out of the given options, Helium is monoatomic, so it have the highest adiabatic index.
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    Is it possible for γ to be smaller than unity?

    γ cannot be smaller than unity.

    Is it possible for gamma to be smaller than unity?

    What is difference between adiabatic index and polytropic index?

    The key difference between adiabatic and polytropic processes is that in adiabatic processes no heat transfer occurs whereas in polytropic processes heat transfer occurs. If the energy of a system changes because of a temperature difference, we say there has been a flow of heat.

    Why is the molar heat at constant pressure greater than the molar heat at constant volume?

    the molecules move faster when heat is supplied at constant pressure than when supplied at constant volume.

    Why is the molar heat capacity of a gas at constant pressure always greater than that at constant volume?

    At constant volume, all the heat that goes into the system goes into raising the temperature of the system, and no external work is done. At constant pressure, some of the heat goes into expanding the system, which does external work, and therefore leaves less energy available for raising the temperature.

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    Which one of the following is constant in the adiabatic process *?

    total heat
    Adiabatic processes are those in which there is no transfer of energy between the system and the surrounding. Therefore the total heat of the system remains conserved in an adiabatic process.

    Which among the following is the highest gas?

    Complete step by step answer: Partial pressure of a gas is the thermodynamic property of a gas. When a gas is dissolved in a solvent, Henry’s law states that, the amount of gas dissolved, or the solubility of this gas will be directly proportional to the partial pressure at a given temperature.

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