How does mean free path depend on pressure of a gas?

Answer 1

I believe the shorter the mean free path, the higher the density. Basically, the closer the molecules are, the more dens it is. That is why when you add pressure, the density goes up ... by this equation.

d = PM/RT

P=pressure

M=molar mass

R=gas constant

T=absolute temperature

Basically, the more pressure put on a gas, the closer it goes to being a liquid... which is denser. The bigger the gas (molar mass) the smaller the mean free path, the denser it is.

However, I do not know how to relate mean free path mathematically to density yet.

Answer 2

Under the same physical conditions (temperature, for example), a dense gas will exert more pressure than one that is less dense. You can picture it this way: If you have a sealed box containing a gas, the pressure of the gas is directly related to the impact of the gas molecules on the sides of the box. If the molecules are heavier, the gas is more dense, and the impacts are more powerful (higher pressure). To get the same effect from a less dense gas, a gas with lighter molecules, you need more frequent impacts, which can be achieved by raising the temperature in the box or by packing in more gas molecules.

Answer 3

The Ideal Gas Law PV=nRT

P=pressure

V=volume

n=moles

R=gas constant

T=temperature

density = grams/volume so Volume=grams/density

substituting grams/density for volume into the Ideal Gas Law

P(grams/density) =nRT

solving for density

P(grams)/nRT=density

grams/mole is molecular weight M so

PM/RT = Density

Answer 4

the mean free path in dependent on pressure, since the mean free path equation state that mean free path=k*T/((2)^(1/2))*P*o

so if you double the pressure your actually decreasing the mean free path by half.

Answer 5

The mean free path of gas molecules decreases with increasing pressure. This is because at higher pressures, the molecules are closer together and more likely to collide with each other, reducing the distance they can travel before colliding.

Answer 6

The density will increase as pressure increases

Answer 7

When the gas gets exerted by the pressure the density increases because the gas is getting compressed into a smaller space.

Answer 8

NO