# Density of oil

Recalculation of the density of oil for different temperature and pressure values. Formulas are taken from Russia's GOST R 8.610-2004. "State system for ensuring the uniformity of measurements for the density of oil. The tables for recalculation" standard

The recalculation of the density of oil for different temperature and pressure values. Formulas are taken from Russia's GOST R 8.610-2004. "State system for ensuring the uniformity of measurements for the density of oil. The tables for recalculation" standard. Used formulas are listed below the calculator.

#### Density of oil

Digits after the decimal point: 3
Target density of oil, kg/m3

Density of oil at 15 deg C

Density of oil at 20 deg C

Coefficient of volumetric expansion at initial temperature

Compression coefficient at initial temperature

Coefficient of volumetric expansion at target temperature

Compression coefficient at target temperature

Density of oil at given temperature and pressure $\rho_{tP}$ is expressed via density of oil at 15 deg C and zero overpressure $\rho_{15}$

$\rho_{tP}=\rho_{15}K_tK_P$

$K_t$ - temperature correction coefficient, calculated according to the formula

$K_t=e^{-\alpha_{15}(t-15)(1+0.8\alpha_{15}(t-15))}$

$K_P$ - overpressure correction coefficient, calculated according to the formula

$K_P=\frac{1}{1-\gamma_tP10^-3}$

The density of oil at 20 deg C and zero overpressure is calculated according to the formula

$\rho_{20}=\rho_{15}e^{-\alpha_{15}(20-15)(1+0.8\alpha_{15}(20-15))}$

The coefficient of volumetric expansion at 15 deg C is calculated according to the formula

$\alpha_{15}=\frac{K_0+K_1\rho_{15}}{\rho_{15}^2}$,

where $K_0=613.97226$, $K_1=0$

Coefficient of volumetric expansion at given temperature $\alpha_{t}$ is calculated according to the formula

$\alpha_{t}=\alpha_{15}+1.6\alpha_{15}^2(t-15)$

Compression coefficient $\gamma_{t}$ is calculated according to the formula

$\gamma_t=10^{-3}e^{-1.62080+0.00021592t+\frac{0.87096*10^6}{\rho_{15}^2}+\frac{4.2092t*10^3}{\rho_{15}^2}}$

If an areometer is used, its readings are corrected using the temperature correction coefficient for areometer glass. Thus, measured density is calculated as

$\rho_t=\rho_{at}K$,

where $K=1-0.000025(t-t_g)$, $t_g$ = 20, if areometer is graduated at 20 deg C and 15, if areometer is graduated at 15 deg C.

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