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final-eqsheet-K09

# final-eqsheet-K09 - Some Equations for the Final Exam...

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Some Equations for the Final Exam Pressure vs depth h in a fluid of density ρ : p = p 0 + ρgh , if p 0 is pressure at the surface. Archimedes’ Principle: The magnitude of the buoyant force on an object equals the weight of the fluid it displaces. Equation of Continuity: ρAv = constant Bernoulli’s Equation: p + 1 2 ρv 2 + ρgh = constant Temperature conversions for T in Kelvin: T C = T - 273 . 15 and T F = 9 5 T C + 32 . Thermal expansion of solids: if α is the coefficient of linear expansion, Δ L = αL Δ T , Δ A = 2 αA Δ T , and Δ V = 3 αV Δ T . Heat capacity C = Q Δ T ; specific heat c = C m = Q m Δ T ; molar specific heat c = C n = Q n Δ T . Phase changes: for solid liquid, Q = mL F for liquid gas, Q = mL V Conductive heat flow for a material with thermal conductivity k : H = - kA Δ T Δ x . Boltzmann constant: k = 1 . 38 × 10 - 23 J/K Avogadro constant: N A = 6 . 02 × 10 23 mol - 1 gas constant: R = kN A = 8 . 31 J/mol · K molar mass: M = N A m , if m is the mass of one molecule.
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