USEFUL EQUATIONS FOR THE ABIH EXAMINATIONS. P 20 log P SPL. 20 log P SPL P 0

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1 USEFUL EQUATIOS FOR THE ABIH EXAMIATIOS This list of equations is offere as assistance in taking the ABIH examinations. o assurance is given that this list is complete or that the use of this list will assure the successful completion of any examination. The variables use are the same as foun in the reference source for the equation. o attempt has been mae to stanarize variables. [Metric (SI equations are in brackets] VETILATIO Q = VA V 1 A 1 = V A TP = VP + SP SP 1 + VP 1 = SP + VP + losses 1 SP h = 0 log P (F 0 h + 1VP P log P 0 V = 4005 VP f [V = 1.9 VP f ] VP = 0 log V P 4005 f [VP 0 = P 0 log V P f] P 0 0 hoo entry loss = F h xvp C e = VP Q VP SP h r 0 = log P 0 log P 1 Q Q VP log P 0 log P P 30 P 0 Q VP Q = 4005(Ce SP h P 30 P 0 f (A [Q = 1.9(Ce SP h f (A] Q = 4005C e A SP h Q corr = Q lower SP gov Q = Q t SP lower m t 1 = V r i Q 0 ln log C g P 0 log P C g10 P ln (G Q C g (G Q C g1 = Q (t t 1 Q = (403(SG(ER(m i(10 6 V r (MW(C g [Q = (4(SG(ER(m i(10 6 ] (MW(C g 0 G log P changes = 60Q 1 e (Q t 0 log P V r C V g = r Q C g = C g1 e ( Q t V r Q = Q 0 log P 0 log 1 P RPM 0 log P P 10 RPM 10 3 P = 0 P log P 0 log 1 P RPM 0 log P P 10 RPM 10 PWR = PWR 0 log P 0 log 1 P RPM 0 log P P 10 RPM FSP = SP out SP in VP in FTP = TP out TP in OISE P or L p = log 0 log P 0 log P I P L I = 10 log 0 log P 0 log P P 00 P 0 P I 00 = 1 + log 0 log P 0 log P 1 P 0 P 0 W L w = 10 log 0 log P 0 log P W P 00 W 0 = 10 1 watts 1 L eq = 10 log 0 log P T P 10 L i 0 log P 0 10 logt P i 0 P 0 i=1 L PT = 10 log 0 log P 10 L Pi 0 log P 10 P i=1 0 TL = log P log P 1 P τ 0 L p = L w 0 log r DI + CF [L p = L w 0 log r 11 + DI + CF] DI = 10 log Q C 1 %D = log P + C C i 0 log P T 1 PT 0 T P i0 T p = T c (L AS L c /ER TWA eq = 10 log 0 log P 0 log %D P BA P 0 TWA = log 0 log P 0 log %D P BA f = ((RPM P 0 60 f = c λ 3 f = f 1 f c = f 1 f f = f 1

2 USEFUL EQUATIOS FOR THE ABIH EXAMIATIOS This list of equations is offere as assistance in taking the ABIH examinations. o assurance is given that this list is complete or that the use of this list will assure the successful completion of any examination. The variables use are the same as foun in the reference source for the equation. o attempt has been mae to stanarize variables. [Metric (SI equations are in brackets] GEERAL SCIECES, STATISTICS, STADARDS ppm = V contam V air x10 6 ppm = P v P atm x10 6 ppm = mg/m3 x4.45 m. w. P 1 V 1 nrt 1 = P V nrt V TS = g p (ρp ρ a 18 η R e = ρv η log I o I = abc ph = log 10[H + ] K a = [H+ ]x[a ] [HA] K b = [BH+ ]x[oh ] [B] P total = X 1 P 1 + X P X i P i vapor/hazar ratio = sat. concentration exposure guieline TLV mix = C 1 TLV 1 + C TLV C n TLV n TLV mix = 1 F 1 + F + + TLV 1 TLV F RF = n TLV n 8 4 h x h 16 RF = 40 x 168 h w h w 18 C asb = (C s C b A c 1000A f V s C asb = f EA c B f b E 1000V fiber ensity = s A f = 0.61λ ηsinα SD = (x x i n 1 n GM = (x 1 (x... (x n GM = 10 (logx 84.13% tile value n GSD = 50% tile value GSD = 50% tile value 15.87% tile value SAE = 1.645CV total CV = SD X E c = E 1 + E x E 1 x n t = SD poole n 1 n (n SD poole = 1 1SD 1 + (n 1SD n 1 + n LCL = C SAE T 1 C 1 + T C T n C n A PEL PEL(T 1 + T T n RWL = LCxHMxVMxDMxAMxFMxCM LI = L RWL 90%Conf Interval = X ± SD n One sie 95%UCL on mean = X SD n HEAT STRESS WBGT = 0.7t nwb + 0.t g + 0.1t b WBGT = 0.7t nwb + 0.3t g S = (M W ± C ± R E

3 USEFUL EQUATIOS FOR THE ABIH EXAMIATIOS This list of equations is offere as assistance in taking the ABIH examinations. o assurance is given that this list is complete or that the use of this list will assure the successful completion of any examination. The variables use are the same as foun in the reference source for the equation. o attempt has been mae to stanarize variables. RADIATIO I = 0 I log P 0 log 1 P 1 P 0 P 0 Rem = (RAD(QF D = ΓA A = A i(0.5 t T 1 A i = T1 i A = A i e 0.693t T 1 I = ( A I 0 I = ( 1 10 B I 0 I = I 1 X HVL I = I 1 10 X TVL I X = 3.3log 0 log P 0 P 1 P I (HVL 0 I = I 0 Be ux 1 T1 eff = 1 T1 ra + 1 T1 bio (T1 (T1 T1 = ra bio eff T1 + T1 ra bio E S = 3770 S = 37.7H S = 4P A r = 0 log PG P 4πEL P 0 r HZ = 1 0 log P 0 4Φ πel log P P a 0 r HZ = f 0 b 0 log P 0 log 4Φ P 0 πel P 0 r HZ 0 = log P 0 ρφ cosθ πel log P P 0 D s = 1 0 log P 0 4Φ πtl log P P a 0 P 0 spatial ave 0 = log P 0 i=1 log FS i P P 0 P 0 t = 0.003J/cm E eff t = EL ML x0.1h O. D. = log I 0 I D L = a + r G = 10 g 10 COSTATS AD COVERSIOS F=9/5( C+3 R= F+460 K= C molar volume at 5 C, 1 atm=4.45l 1ft 3 =8.3L 1 ft 3 =7.481 U.S. gal 1L= qt 1 inch =.54 cm 1 lb=453.6 grams 1 gram=15.43 grains 1 atm=14.7 psi=760 mm Hg=9.9 in Hg=33.93 ft water= mbar=101,35 pascals 1 Curie=3.7x10 10 isint/sec (Becquerel=.x10 1 pm 1 Gray=100 Ra 1 Sievert=100 Rem 1 Tesla=10,000 Gauss 1 BTU= joules=0.93 watt hr 1 cal=4.184 joules spee of soun in air at 68 F (0 C=1130 fps (344 m/s spee of light=3x10 8 m/s Planck s constant=6.66x10-7 erg sec Avogaro s number=6.04x10 3 gas constant, R=8.314 J/mole K=0.08 L atm/mole K ensity of air=1.9 g/l at atm, 0 C g=981 cm/sec =3 ft/sec A c =385 mm for 5 mm filter Af= mm

4 TABLE 6-3. Summary of Hoo Airflow Equations From ACGIH, Inustrial Ventilation: A Manual of Recommene Practice for Design, 9th Eition. Copyright 016. Reprinte with permission.

5 From ACGIH, Inustrial Ventilation: A Manual of Recommene Practice for Design, 9th Eition. Copyright 016. Reprinte with permission.

6 From ACGIH, Inustrial Ventilation: A Manual of Recommene Practice for Design, 9th Eition. Copyright 016. Reprinte with permission.

7 From ACGIH, Inustrial Ventilation: A Manual of Recommene Practice for Design, 9th Eition. Copyright 016. Reprinte with permission.