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While solids and liquids do not change their volume or pressure with a change in temperature, gases will. The relationship for ideal gases is
PV = nRT
where P = pressure, V = volume, n = moles, R = ideal gas constant and T = temperature (in Kelvin).
Most gases behave in an ideal manner so we can use this equation to explain the PVT relationships of most gases.
If we have a constant amount of gas and a constant volume, then we can see a proportional relationship between temperature and volume.
T1/V1 = T2/V2
As the temperature goes up, the pressure goes up and vice versa. You may have seen this phenomenon when you purchase a helium balloon in the winter time. In the warm store, the balloon looks fully inflated but then shrinks slightly when you walk into the cold air outside.
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