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# Density of oil

##### Recalculation of 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. Density of oil. The tables for recalculation" standard
Timur2013-11-04 11:22:56

Recalculation of 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. Density of oil. The tables for recalculation" standard. Used formulas are listed below the calculator.

##### Density of oil

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

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

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

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

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 areometer is used, its readings are corrected using 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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