The answer is - Yes they do influence each other.
Because most gases are difficult to observe directly, they are described through the use of four physical properties or macroscopic characteristics: pressure, volume, number of particles (chemists group them by moles) and temperature.
These four characteristics were repeatedly observed by scientists such as Robert Boyle, Jacques Charles, John Dalton, Joseph Gay-Lussac and Amedeo Avogadro for a variety of gases in various settings. Their detailed studies ultimately led to a mathematical relationship among these properties expressed by the ideal gas law
Here is also some more information:
3. Measureable properties of gases
Measurement of pressure
Thermal equilibrium and temperature measurements
4. Experimental observations – the gas laws
The relationship between pressure and volume
The effect of temperature on pressure and volume
The effect of the amount of gas
Equation of state for an ideal gas
5. Ideal gases and real gases
The ideal gas model
The compression factor
Equations of state for real gases
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