Reduced Specific Volume

The Reduced Specific Volume calculator computes the reduced volume(v_r), which is the ratio of the specific volume of a substance to the value of the specific volume at the critical point.  

INSTRUCTIONS: Choose the preferred units and enter the following parameters.

• V - the actual measured volume
• T_cr - the critical temperature point for the substance
• p_c - the critical pressure for the substance

Reduced Specific Volume(v_r): The volume (v_r) is returned in moles.  However, this can be automatically converted to other volume units via the pull-down menu. The Reduced Specific Volume is computed using the universal gas constant (R) which is 8.3144598(48) (m³ • Pa) / (K• mol). 

The Math / Science

The reduced properties of a fluid are a set of state variables normalized by the fluid's state properties at the fluid's critical point.¹
  The reduced specific volume is the ratio of the specific volume of a substance to the value of the specific volume at the critical point.

Chemistry Calculators

• R - Gas Constant: 8.3144626181532 J/(K⋅mol)
• Boyle's Law Calculator:  P₁ • V₁ = P₂ • V₂
• Charles Law Calculator: V₁• T₂ = V₂ • T₁
• Combined Gas Law Calculator:   P•V / T= k
• Gay-Lussac Law:  T₁•P₂ =T₂•P₁ 
• Ideal Gas Law: P•V = n•R•T
• Bragg's Law:   n·λ = 2d·sinθ
• Hess' Law:  ΔH⁰_rxn=ΔH⁰_a+ΔH⁰_b+ΔH⁰_c+ΔH⁰_d
• Internal Energy: ΔU = q + ω 
• Activation Energy:  E_a = (R*T₁⋅T₂)/(T₁ - T₂) ⋅  ln(k₁/k₂)
• Arrhenius Equation:  k = Ae^E_a/(RT)
• Clausius-Clapeyron Equation:  ln(P₂/P₁) = (ΔH_vap)/R * (1/T₁ - 1/T₂)
• Compressibility Factor: Z = (p*V_m)/(R*T)
• Peng-Robinson Equation of State:  p = (R*T)/(V_m - b) - (a*α)/(V_m² + 2*b*V_m - b²)
• Reduced Specific Volume:  v_r = v/(R* T_cr / P_c)
• Van't Hoff Equation:  ΔH⁰ = R * ( -ln(K₂/K₁))/ (1/T₁ - 1/T₂)

See Also

• Reduced Pressure
• Reduced Temperature
• Reduced Specific Volume
• Reduced Properties Calculator
• Critical Temperatures and Pressures (data set)
• Critical Temperature (liquid-vapor)
• Inherent Viscosity
• Inherent Viscosity[mi, V, eta, eta_s]
• Relative Viscosity
• Mass Concentration

1. ^ https://en.wikipedia.org/wiki/Reduced_properties