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S conversions

S = speed

= a ∙ t (accelerating)

= G ∙ t (free fall)

S_avg = (S₁ + S₂) ÷ 2

= (S_beg + S_fin)/2

S = Entropy

= k ln W (isolated, Boltzmann)

= 0 = k ln 1 ( 0⁰ K )

= (H-G)/T

= + spontaneous

ΔS = q_rev/T (isotherm., rev.) (expans., id. g.)

> q_irrev/T (isotherm., irrev., expans., id. g.)

= nR ln V₂/V₁ (isotherm., +expans., -comp., id. g., rev., irrev.)

= nR ln P₁/P₂ (id. g., n,T const.)

= Σ (CδT_i /T_i )

= Σ δS_i

= C_P,V ln (T_F / T_i ) (small Δ T, C indep. of T )

= nČ_P,V ln (T_F / T_i ) (small ΔT, C indep. of T)

= Σ ΔS_tr + Σ ΔS_ΔT

= ΣS_Prod. - ΣS_React.

= 0 (rev., isotherm., adiabatic, isolated)

≥ 0 (adiabatic, isolated)

≥ 0 (Law II)

> 0 (adiabatic, isolated irrev., spontanaeous, endothermic)

> 0 (ΔH<0, any T)

> 0 (ΔH>0, high T)

< 0 (ΔH<0, low T)

< 0 (ΔH>0, prohib.)

= + (spontaneous, endothermic)

= k ln W₂/W₁

= k ln 1/W_random

= k ln 1/rN_A

= -N_Ak ln r

= -R ln r (random → order)

= (ΔH-ΔG)/T (const. T,P)

= ΔH/T' (prohibitive T)

= ΔH/T (const. T,P, PV work only, equilib.)

= ΔH_vap/T

ΔS₂₉₈ ≈ ΔH₂₉₈/T_eq

ΔS_T = ΔS_sys + ΔS_surr

= Σ_Prod.nŜ - Σ_React.nŜ

= S_F - S_i

ΔS_T ≥ 0 (Law II)

= 0 (rev., isotherm., adiabatic, isolated)

> 0 (irrev.)

ΔŜ_melt = ΔĤ_melt / T_melt

ΔS^o_Rx = Σ_Prod.nŜ^o - Σ_React.nŜ^o

= (ΔG⁰_Rx - ΔH⁰_Rx)/-T

ΔS_surr = ΔE_surr/T

= - ΔH_sys/T

ΔS_sys = (ΔG_sys - ΔH_sys)/- T

ΔS_T = ΔG⁰_Rx/-T

ΔS_tr = ΔH_tr /T_tr (rev, equilibrium)

ΔS_tr. = q_{rev. tr/Ttr}

= nΔĤ_tr/T_tr

ΔS_vap = ΔH_vap / T_b (const. P) ≈ 88 J/mol K

≈ 21 cal/mol K

ΔS⁰_vap ≈ 21 cal/mol K

ΔŜ_vap = ΔĤ_vap / T

≈ 88 Jmol K

ΔŜ₁ = R ln V₁/V^Ө

= R ln P^Ө/P₁

= -ΔĜ₁/T (id. g., isotherm., mix)

= - (Ĝ₁-Ĝ^Ө₁)/T (id.g., isotherm., mix)

= -R ln P₁/P^Ө (id. g., isotherm., mix)

ΔS^Ө = ( ΔG^Ө - ΔH^Ө ) / T (equil. stand. cond.)

ΔS_ΔT = nČ_P,V ln T_F /T_i

δS₁ = δq_{rev. 1}/T₁

= CδT₁/T₁

s = slant height

s = J/VA

= J/W

= 1/Hz

= C/A

= l/mvr

=2πl/nh

= 10⁷ erg/w

= h/6.62 ∙ 10^-27 erg

= h/6.6262 ∙ 10^-34 J

s² = kg/P_am

= (m ∙ meter²)/K.E.

= (m ∙ meter²)/J

s³ = (kg ∙ m²)/(volt ∙ A)

= (kg ∙ m²)/W

sahng (Jap.) = three

saranta (Gr.) = fourty

Saturation Index = Hb% (g/100cc ∙ 6.9) / vol. packed RBC (cc/100cc ∙ 2.3)

schoenus ≈ 27315 ft

score = 20

= 20 units

scruple = 20 grains (Apothecaries)

= dram/3 (Apothecaries)

SD = standard deviation

= √[Σ(x₁ - x_mean)²/(n - 1)]

= √{[Σ(x²_i)/n-1] - [(Σx_i)²/n(n-1)]}

se (L.) = six

= half

seah = 2.88 gal

= 3/2 peck

= 3/2 modius

sec = secant

= 1/x

= r/x

= 1/cos

= √(tan² + 1)

= tan ∙ csc

= tan/sin

sec Θ = r/x

sec² t = 1 + tan² t

secant = sec

sechs (G.) = six

sechste (G.) = 1/6

sechzehn (G.) = sixteen

sechzehnte, -r (G.) = 1/16

second = minute/60

= deuxieme (F.)

= deuteros (Gr.)

= second (F.)

= Sekunde (G.)

= zweit (G.)

second (F.) = second

section = mi² (land)

sedecim (L.) = sixteen

seemeile (nautical) = mi

seis (Sp.) = six

seize (F.) = sixteen

seizieme (F.) = 1/16

Sekunde (G.) = 2nd

semi = 1/2 as

semi (L.) = half

semis = 1/2 acre

= 1/2 juger

= 1/3 sesquijugerum

= 3 sextans

semodius = .96 gal

= .333 sesquimodius

seni (L.) = six

sept (F.) = seven

septem (L.) = seven

septemdecim (L.) = seventeen

septieme (F.) = 1/7

septimus (L.) = 1/7

septingent (L.) = 700

septingentesimus (L.) = 1/700

septuaginta (L.) = seventy

septunx (L.) = 7/12

sesente (Sp.) = 60

sesquialter (L.) = 1 1/2

sesquijugerum = 3/2 acre

= 3/2 juger

= 3 semis

= 9 sextans

sesquimodius = 2.88 gal

= 3 semodius

sesquiobolus = 3/2 oboli

sestertius = 1/4 denarius

sestertius (L.) = 2 1/2

setente (Sp.) = 70

seven = epta (Gr.)

= septem (L.)

= sept (F.)

= sieben (G.)

= siete (Sp.)

= shee-chee (Jap.)

seven hundred = eptakosioi, -es, -a (Gr.)

= septingent (L.)

seven hundredth = septingentesimus (L.)

seventeen = dix-sept (F.)

= septemdecim (L.)

= siebzehn (G.)

= dekaepta (Gr.)

seventh = ebdomos (Gr.)

= septimus (L.)

= septieme (F.)

= siebente, -r (G.)

seventieth = ebdomekostos (Gr.)

= siebzigste, -r (G.)

seven twelvths = septunx (L.)

seventy = ebdomekonta (Gr.)

= septuaginta (L.)

= soixante-dix (F.)

= siebzig (G.)

= setente (Sp.)

seventy five = soixante-quinze (F.)

seventy nine = undeoctoginta (L.)

sex (L.) = six

sexcentesimus (L.) = 1/600

sexcenti (L.) = 600

sexagesimus (L.) = 1/60

sexaginta (L.) = sixty

sexdecim (L.) = sixteen

sextans = .02 gal

= .0034 quadrantal

= 1/6 acre

= 1/6 juger

= 1/3 semis

= 1/9 sesquijugerum

sextarii = 1/48 amphora

= 1/6 congius

= 2 hin

= 1/6 choas

= .12 gallon

= 1/16 modius

= 1/16 peck

sextarius = 1/.03 gal

= 2 cyathus

= 2 cotula

= 2 cotyla

= 1/6 pt

= 1/6 pinte

= 1/36 congius

= 2 pt (Eng)

= 2 hemina

sextus (L.) = 1/6

sextusdecimus (L.) = 1/16

S.G. = specific gravity

S.G. (60⁰F/60⁰F) = ratio of density of liquid at 60⁰F to density of distilled H₂O at 60⁰F as unity

shee (Jap.) = four

shee-chee (Jap.) = seven

sheet = quire/24 (paper)

shekel = .025 lb

= 4 drachmae (Athenian)

= 1/40 lb

= homer

shift = -c/b

shoeni = 1/3 trischoenus

short ton = .91 tonne

sieben (G.) = seven

siebente, -r (G.) = 1/7

siebzehn (G.) = seventeen

siebzig (G.) = seventy

siebzigste, -r (G.) = 1/70

siete (Sp.) = seven

silver shekel (Solomon's) = 1/8 lb

sin = sine

= y

= y/r

= tan ∙ cos

= 1/csc

= cos/cot

= ⁺_-√(1 - cos²)

sin α = Ba/2I · 10^-7

= e/E_m

sin Φ = F/Bqv

= F/BINl

= F/BIl

= M/BIlw

= M/BIA

= M/ΦI

= M/ΦIN

sin Θ = y/r

sin t = sin(t + 2πn)

sine = sin

sine wave_Average = 0.630 x peak

sine wave_effective = 0.707 x peak

= 1/√2 • peak

six = hex (Gr.)

= ex (Gr.)

= exas (Gr.)

= se, sex (L.)

= six (F.)

= sechs (G.)

= seni (L.)

= seis (Sp.)

= roh-koo (Jap.)

six (F.) = six

six hundred = exakosia (Gr.)

= sexcenti (L.)

six hundredth = sexcentesimus (L.)

sixieme (F.) = 1/6

sixteen = dekaex (Gr.)

= sedecim (L.)

= sexdecim (L.)

= seize (F.)

= sechzehn (G.)

sixteenth = 1/16

= .0625

= sextusdecimus (L.)

= seizieme (F.)

= sechzehnte, -r (G.)

sixth = ektos (Gr.)

= sextus (L.)

= sixieme (F.)

= sechste (G.)

sixtieth = exekostos (Gr.)

= sexagesimus (L.)

= soixantieme (F.)

sixty = exekonta (Gr.)

= exenta (Gr.)

= sexaginta (L.)

= soixante (F.)

= sesente (Sp.)

sl = slope

= (y₂ - y₁)/(x₂ - x₁)

slant height = s

% slip = [(v_{stat. field} - v_act.)/v_sf] ∙ 100

slope = Δy/Δx

= sl

= El

soixante (F.) = sixty

soixante-dix (F.) = seventy

soixante-quinze (F.) = seventy five

soixantieme (F.) = 1/60

solubility product constant = k_sp

[sol'n] = (g₁/V₁) ∙ (1000ml/liter) ∙ (mol/MW)

sou = penny

sound speed = 1090 ft/sec + 2 ft/⁰C

= wavelingth x waves (vibrations) per sec.

= distance x time

sound wave = 30-10^4.5 Hz

sound wavelength = speed of sound / vibrations per sec.

= 2 x distance between 3/4 and 1/4 resonance

sound vibes/sec = speed of sound/wavelength

span = palmus

specific gravity = wght in air/ (wght in air - wght in H₂O)

= S.G.

= m_air/(m_air - m_water)

specific heat = C/g

spectrum = UV, IR, microwave, visible

speed = tachos

= S

spiral = helix

= speira

square = agora

square root = √

squared = n²

stade = 604 1/5 ft.

stades = 604.2 ft

stadion = 607 ft

stadium = 625 ft

= 606 English ft

standard deviation = SD

sterlina (Greek) = lb (sterling)

stremma (Greek) = 1/4 acre

strobus = a twisting around

stroke = 33000 Hp/2P ∙ A ∙ Rotation

subsonic = 0-30 Hz

subtract = -

= minus

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