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Saturated vapor temperature

Values for calculation

$p$ $\mathrm{Pa}$

Calculation

Transformed pressure

$$β=\left(p/1000000\right)^{0.25}$$
$β=\left(p/1000000\right)^{0.25}$
Equations in LaTeX code
β=\left(p/1000000\right)^{0.25}

Function $ E $

$$E=β^2+\left(-17.073846940092\cdot β\right)+14.915108613530$$
$E=β^2+\left(-17.073846940092\cdot β\right)+14.915108613530$
Equations in LaTeX code
E=β^2+\left(-17.073846940092\cdot β\right)+14.915108613530

Function $ F $

$$F=1167.0521452767\cdot β^2+12020.824702470\cdot β-4823.2657361591$$
$F=1167.0521452767\cdot β^2+12020.824702470\cdot β-4823.2657361591$
Equations in LaTeX code
F=1167.0521452767\cdot β^2+12020.824702470\cdot β-4823.2657361591

Function $ G $

$$G=-724213.16703206\cdot β^2+\left(-3232555.0322333 \cdot β\right)+405113.40542057$$
$G=-724213.16703206\cdot β^2+\left(-3232555.0322333 \cdot β\right)+405113.40542057$
Equations in LaTeX code
G=-724213.16703206\cdot β^2+\left(-3232555.0322333 \cdot β\right)+405113.40542057

Function $ D $

$$D=\cfrac{2\cdot G}{-F-\left(F^2-4\cdot E\cdot G\right)^{0.5}}$$
$D=\cfrac{2\cdot G}{-F-\left(F^2-4\cdot E\cdot G\right)^{0.5}}$
Equations in LaTeX code
D=\cfrac{2\cdot G}{-F-\left(F^2-4\cdot E\cdot G\right)^{0.5}}

Saturated vapor temperature

$\text{if }\ p\le 16529000$
$\text{if }\ p\le 16529000$
Equations in LaTeX code
\text{if }\ p\le 16529000
$$T_{SV}=\cfrac{650.17534844798+D-\left[\left(650.17534844798+D\right)^2-4\cdot\left(-0.23855557567849+650.17534844798\cdot D\right)\right]^{0.5}}{2}-273.15$$
$T_{SV}=\cfrac{650.17534844798+D-\left[\left(650.17534844798+D\right)^2-4\cdot\left(-0.23855557567849+650.17534844798\cdot D\right)\right]^{0.5}}{2}-273.15$
Equations in LaTeX code
T_{SV}=\cfrac{650.17534844798+D-\left[\left(650.17534844798+D\right)^2-4\cdot\left(-0.23855557567849+650.17534844798\cdot D\right)\right]^{0.5}}{2}-273.15
$\text{else}$
$\text{else}$
Equations in LaTeX code
\text{else}
$$T_{SV}=572.54459862746+\left[\left(p/1000000-13.918839778870\right)/0.0010192970039326\right]^{0.5}-273.15$$
$T_{SV}=572.54459862746+\left[\left(p/1000000-13.918839778870\right)/0.0010192970039326\right]^{0.5}-273.15$
Equations in LaTeX code
T_{SV}=572.54459862746+\left[\left(p/1000000-13.918839778870\right)/0.0010192970039326\right]^{0.5}-273.15
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