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Relationship between density, pressure, and temperature

Relationship between density, pressure , and temperature What happens to density if pressure increases? Increases ~P (Boyle's Law). What happens to density if temperature increases? Decreases ~ 1/T (Charle's Law). What happens to pressure if temperature increases? Increases P~T (Gay-Lussac's Law). Putting all 3 together, we have P ~ T. Relationship between density, pressure , and temperature The ideal gas law for dry air P Rd T Stull ( ). Rd: gas constant for dry air Equals to 287 J/kg/K. Note that P, , and T have to be in units for this equation to work using this value of Rd Numerical example What is the pressure of dry air with a temperature of 10 oC and a density of 1kg/m3?

Relationship between density, pressure, and temperature • The ideal gas law for dry air – R d: gas constant for dry air • Equals to 287 J/kg/K – Note that P, , and T have to be in S.I. units

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