Isothermal compressibility: κ_T = -(1/V)·(∂V/∂P)_T; ideal gas κ_T = 1/P

Layer 1 — Physicsin the high-pressure-physics subtree

The isothermal compressibility κ_T = -(1/V)·(∂V/∂P)_T is the fractional volume change per unit pressure change at fixed temperature — the inverse of the bulk modulus B_T = 1/κ_T. For an ideal gas obeying PV = nRT, ∂V/∂P|_T = -nRT/P² =…

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