The pressure (P) and temperature (T) relationship of an ideal gas obeys the equation PT² = constant. The volume expansion coefficient of the gas will be:
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The pressure (P) and temperature (T) relationship of an ideal gas obeys the equation PT² = constant. The volume expansion coefficient of the gas will be:

G1 Physics · Accepted Answer

Using PV = nRT and PT² = constant: (nRT/V)T² = constant, so T³/V = constant and V ∝ T³. Therefore volume expansion coefficient γ = (1/V)(dV/dT) = 3/T.