# Which Gas Is More Compressible: Isothermal or Isentropic?

• Perodamh
In summary, the isothermal compression of Gas A at 125KPa (abs) results in a more compressible gas compared to the isentropic compression of Gas B at 100kPa (abs) with a Y value of 1.4.
Perodamh

## Homework Statement

Gas A at 125KPa (abs) is compressed isothermally and gas B at 100kPa(abs) is compressed isentropically (Y = 1.4). Which gas is more compressible?[/B]

## Homework Equations

Compressibilty = 1/bulk's modulus
Bulk's modulus = F/A/V/v or volume stress/volume strain

## The Attempt at a Solution

I'm not sure I'm using the right equation , I've also tried Q= w(Y-n)/(y-1), but for an adiabatic compression Q is always 0, so does that mean the isothermally compressed gas is more compressible??[/B]

The answer is that the isothermally compressed gas is more compressible. The bulk modulus of a gas is defined as the pressure increase needed to cause a unit decrease in volume. Since the isothermal compression process involves no change in temperature, the increase in pressure causes a relatively large decrease in volume, making the gas more compressible. The isentropic compression process involves a change in temperature, which tends to reduce the amount of volume change for a given increase in pressure, making the gas less compressible.

## 1. What is compressibility?

Compressibility is a measure of how much the volume of a gas can decrease under a given amount of pressure.

## 2. How is compressibility related to gases?

All gases are compressible, meaning their volume can be reduced under pressure. However, some gases are more compressible than others.

## 3. What factors affect the compressibility of a gas?

The compressibility of a gas is primarily affected by its temperature and pressure. Higher temperatures and pressures make a gas more compressible.

## 4. Which gas is more compressible, air or helium?

Helium is more compressible than air. This is because helium atoms are smaller and have less intermolecular forces compared to the nitrogen and oxygen molecules in air.

## 5. Why is the compressibility of a gas important?

The compressibility of a gas is important in many industrial and scientific applications, such as in diving equipment, gas storage tanks, and the behavior of gases in various environments. It also plays a role in understanding the properties of different gases and their behavior under different conditions.

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