Volume Thermal Expansion Formula — the NEET Physics formula with its derivation, variables, validity constraints and worked solver.
Volume Thermal Expansion Formula Applies to solids and liquids. Generally not applicable to gases unless specified under specific constraints, as gas expansion is strongly dependent on pressure. Assumes the material is isotropic. Assume volume V is a function of temperature T. Perform a Taylor series expansion of V(T) around an initial temperature T0. Neglect higher-order terms for small temperature changes. Define beta = (1/V)(dV/dT). Integrate or approximate to obtain Delta V = beta V0 Delta T. Temperature change must not cause a phase change (e.g., solid to liquid). Valid only for temperature ranges where the coefficient of expansion is approximately constant. Confusing the coefficient of volume expansion (beta) with the coefficient of linear expansion (alpha). For solids, beta is approximately 3 alpha. Thinking the formula applies directly to gases without considering the Ideal Gas Law. Assuming holes in a solid shrink when the solid expands (holes actually expand as if filled with the material).