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Is isothermal or adiabatic more efficient?

Posted on October 16, 2022 by Author

Table of Contents

  • 1 Is isothermal or adiabatic more efficient?
  • 2 Why free expansion is adiabatic process?
  • 3 What is meant by free expansion of gas?
  • 4 What is the adiabatic expansion of an ideal gas?

Is isothermal or adiabatic more efficient?

Isothermal compression is significantly more energy efficient than adiabatic compression, but with the current standard compressor technologies isothermal compression is not possible as the compression process happens so fast. This temperature rise can effectively limit the maximum compression ratio.

What happens to the internal energy of an ideal gas during an isothermal expansion?

Thus, in an isothermal process the internal energy of an ideal gas is constant. In the isothermal compression of a gas there is work done on the system to decrease the volume and increase the pressure. Doing work on the gas increases the internal energy and will tend to increase the temperature.

Why is internal energy zero for isothermal process?

For ideal gases, the change in internal energy is zero for an isothermal process since an ideal gas has no interactions between particles, no intermolecular forces, so pressure change at constant temperature does not change internal energy.

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Why free expansion is adiabatic process?

Free expansion is a process where the external pressure is zero. Adiabatic expansion is a process with no heat flow between the system and its surroundings. Reversible processes keep the system and surroundings in thermal and mechanical equilibrium at all points during the process. Free expansion is irreversible.

Does insulated mean isothermal?

An adiabatic system is one where no thermal energy (heat) moves across the boundaries (in practice, this is accomplished through the use of insulation, so this is often also called an “insulated” system). An isothermal system stays at a single constant temperature with respect to time.

What happens to internal energy during adiabatic expansion?

In the adiabatic expansion of the gas, the work done by the gas is always positive. Since the work done by the gas is positive the internal energy decreases, so the temperature of the gas also decreases.

What is meant by free expansion of gas?

the expansion of a gas into an evacuated space without the transfer of heat or the performance of work.

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What is meant by free expansion of an ideal gas?

The Joule expansion (also called free expansion) is an irreversible process in thermodynamics in which a volume of gas is kept in one side of a thermally isolated container (via a small partition), with the other side of the container being evacuated.

What is the difference between adiabatic and isothermal expansion?

An adiabatic expansion has less work done and no heat flow, thereby a lower internal energy comparing to an isothermal expansion which has both heat flow and work done. Temperature decreases during adiabatic expansion. The temperature of n moles of an ideal gas changes from to in a quasi-static adiabatic transition.

What is the adiabatic expansion of an ideal gas?

A quasi-static, adiabatic expansion of an ideal gas is represented in (Figure), which shows an insulated cylinder that contains 1 mol of an ideal gas. The gas is made to expand quasi-statically by removing one grain of sand at a time from the top of the piston. When the gas expands by dV, the change in its temperature is dT.

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Why is the assumption of no heat transfer important in adiabatic processes?

In an adiabatic process, energy is transferred only as work. The assumption of no heat transfer is very important, since we can use the adiabatic approximation only in very rapid processes. In these rapid processes, there is not enough time for the transfer of energy as heat to take place to or from the system.

How do you determine if a process is adiabatic?

On a p-V diagram, the process occurs along a line (called an adiabat) that has the equation p = constant / Vκ . For an ideal gas and a polytropic process, the case n = κ corresponds to an adiabatic process. Assume an adiabatic expansion of helium (3 → 4) in a gas turbine (Brayton cycle).

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