ac2efa04-81fc-460d-ae4b-287d82cf6c8f 11 4 5 decimal

&[DATE] &[TIME] - &[FILENAME]

data char size clr plot k 1 data rows range r3 k el char : r4 k el size : r5 k el clr : 13 mat for data r3 r4 r5 augment 21 line :

Entropy saturation

Entropy 10 0.03596 2.1262 50 0.1681 1.9293 100 0.3121 1.7568 150 0.4398 1.6327 200 0.5567 1.5353 250 0.6673 1.4499 300 0.7774 1.3636 370 0.9820 1.1498 83 mat :

X Entropy 1 col : Y Entropy 2 col : 12 mat EntropyWaterWater X Y augment . 12 black plot : 21 line

X Entropy 1 col : Y Entropy 3 col : 12 mat EntropySteam X Y augment . 12 black plot : 21 line

se 1.87804 104 -^* - 3.8091 103 -^* 1.76923 105 -^* - 3.3417 107 -^* 4.7508 109 -^* - 3.9818 1011 -^* 1.9778 1013 -^* - 5.7415 1016 -^* 8.998 1019 -^* - 5.8805 1022 -^* 101 mat :

kcal_kg 1 :

sv 2.18785 6.6924 103 -^* - 4.34896 105 -^* 3.62069 107 -^* - 2.4730 109 -^* 1.0247 1011 -^* - 2.2014 1014 -^* 1.8911 1017 -^* - 81 mat :

Entropy water phase x se se j el x j 1 -^* j 110 sum 11 line :

Entropy vapor phase x sv sv j el x j 1 -^* j 18 sum 11 line :

s 0.01 x ≤ (x 374 ≤ (* :

range solve 'Y' 374 sv 0.01 sv 21 mat 1.1203 2.1878 21 mat

Y 1.5 :

X x sv Y - 0 ≡ x 0374 solve : 221

x se s / x sv s / EntropyWaterWater EntropySteam X Y + 40 black 1 5 mat 1.12 6 1 sys

x f x sv :

U 1.133 2.175 1.143 range :

j 1 U rows range sol j el x f U j el - 0 ≡ x 0374 solve : for

N sol U augment :

The 'N' points are accurate enough to accomodate Thiele. Thus, a solving fnct

N rows 105

vx N 1 col : vy N 2 col : 12 mat x Φ vx vy x ainterp : 21 sys

x Φ Y - 0 ≡ x 0374 solve 221

x f x sv :

2. Dual Solving from undocumented 'root' ...

w sol t f w - t root : 4375720000 / t 11 -^* 167312500000 / - (t 21 -^* + 27181625000000 / t 31 -^* + 3620691000000000000 / - (t 41 -^* + 24731000000000000 / t 51 -^* + 102471000000000000000 / - (t 61 -^* + 11007500000000000000000 / t 71 -^* + 189111000000000000000000000 / - (t 81 -^* + w - t root

t q 4375720000 / (t 11 -^* 167312500000 / - (t 21 -^* + 27181625000000 / (t 31 -^* + 3620691000000000000 / - (t 41 -^* + 24731000000000000 / (t 51 -^* + 102471000000000000000 / - (t 61 -^* + 11007500000000000000000 / (t 71 -^* + 189111000000000000000000000 / - (t 81 -^* + w - :

recast 'root' for Smath solve w t Sol t q 0 ≡ t 0374 solve :

Given 'w' ... solve for 't' i.e: running 'x' w 1.5 :

sanity confirmed w t Sol 221

x q s / w t Sol 0.5 w t Sol 0.5 - 2 2 mat 2 1 sys

recast 'root' for Smath solve w t Sol t q 0 ≡ w 1.12 2.187 solve :

t 221 :

w t Sol 1.5