The pressure of a gas is affected by the number of particles and not affected by the kind of gas it is. What does this fact tell us about ideal gases?

The pressure is directly proportional to the number of moles of a gas or P prop kn (I can't draw a proportional sign on this board.)

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This fact tells us that ideal gases follow a specific behavior known as the ideal gas law. The ideal gas law states that the pressure of a gas is directly proportional to the number of particles (measured in moles) and the temperature, while being inversely proportional to the volume of the gas.

Mathematically, the ideal gas law can be expressed as:

PV = nRT

where:
P is the pressure of the gas
V is the volume of the gas
n is the number of moles of the gas
R is the ideal gas constant
T is the temperature of the gas in Kelvin

According to the statement you mentioned, "The pressure of a gas is affected by the number of particles and not affected by the kind of gas it is." This implies that the ideal gas law holds true for all gases, regardless of their identity or chemical composition.

In other words, whether you have a gas consisting of atoms or molecules, the pressure will only be dependent on the number of particles (moles) and the temperature. The identity or properties of the gas itself will not affect the pressure under ideal gas behavior.

It's important to note that while ideal gases are a useful concept for understanding the behavior of real gases under certain conditions, no real gas fully behaves as an ideal gas at all temperatures and pressures. Real gases can deviate from ideal behavior, especially at high pressures or very low temperatures, due to the presence of intermolecular forces and molecular interactions.