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Nitrogen approximately follows the ideal gas law which gives the relation between pressure and temperature as pV= nRT, where p is the absolute pressure of the gas; V is the volume of the gas; n is the amount of substance of the gas in moles; R is the gas constant (which is 8.314472 J*K^-1*mol^-1 in SI units); and T is the absolute temperature.
Therefore from pV= nRT, we get p = nRT / V. So as the temperature increases, for the volume and amount of the gas remaining constant, the pressure exerted increases and as the temperature decreases, the pressure exerted decreases.
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