# The relationship of pressure and temperature will be

### PRESSURE AND TEMPERATURE RELATIONSHIP Guillaume Amontons was the first to empirically establish the relationship between the pressure and the temperature of a gas (~), and Joseph Louis. What is the relation between pressure and temperature, humidity and pressure, So the temperature and the pressure is directly proportional to each other. To understand the relationships among pressure, temperature, volume, and the amount of a gas. Early scientists explored the relationships among the pressure.

There are two examples that demonstrate this principle.

## What’s the relationship between pressure and temperature of gas?

The first is that of a spray can. The volume of the can is constant. When contents are removed from the can, then the mass of the contents will be reduced in the can. Because there is less mass in the can with a constant volume, the pressure will decrease. This pressure decrease in the can results in a temperature decrease. The contents coming out of the can also cool in temperature but for another reason.

Outside of the can the volume is not held constant. Thus the contents are free to expand when they move from the high pressure in the can to the low pressure outside of the can. Expansional cooling causes the contents coming out of the can to cool. This effect can be noticed in spray-on deodorants.

## Quick derivation

In the second example, a compressor is shown. The Pressure-Volume Law Boyle's law or the pressure-volume law states that the volume of a given amount of gas held at constant temperature varies inversely with the applied pressure when the temperature and mass are constant. Another way to describing it is saying that their products are constant. When volume goes up, pressure goes down.

Air pressure and temperature demo

From the equation above, this can be derived: This equation states that the product of the initial volume and pressure is equal to the product of the volume and pressure after a change in one of them under constant temperature.

For example, if the initial volume was mL at a pressure of torr, when the volume is compressed to mL, what is the pressure? Plug in the values: The Temperature-Volume Law This law states that the volume of a given amount of gas held at constant pressure is directly proportional to the Kelvin temperature.

V Same as before, a constant can be put in: Also same as before, initial and final volumes and temperatures under constant pressure can be calculated. The Pressure Temperature Law This law states that the pressure of a given amount of gas held at constant volume is directly proportional to the Kelvin temperature.

• Pressure and temperature relationship of a gas
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P Same as before, a constant can be put in: The Volume Amount Law Amedeo Avogadro Gives the relationship between volume and amount when pressure and temperature are held constant. Remember amount is measured in moles.

### Relationships among Pressure, Temperature, Volume, and Amount

Also, since volume is one of the variables, that means the container holding the gas is flexible in some way and can expand or contract. If the amount of gas in a container is increased, the volume increases. If the amount of gas in a container is decreased, the volume decreases. V As before, a constant can be put in: The Combined Gas Law Now we can combine everything we have into one proportion: The volume of a given amount of gas is proportional to the ratio of its Kelvin temperature and its pressure.