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B. Ideal Gas Constant and Conversion Factors





Volume of Ideal Gas

1 lb-mol of an ideal gas at 32°F and 1 atm occupies 359 ft3 (0.00279 lb-mol/ft3).

1 mol of an ideal gas at 0°C and 1 atm occupies 22.4 dm3 (0.0446 mol/dm3).



 where CA = concentration of A, mol/dm3 T = temperature, K P = pressure, kPa yA = mole fraction of A R = ideal gas constant, 8.314 kPa·dm3/mol·K

1M = 1 molar = 1 mol/liter = 1 mol/dm3 = 1 kmol/m3 = 0.062 lb-mol/ft3

Volume

 1 cm3 = 0.001 dm3 1 in3 = 0.0164 dm3 1 fluid oz = 0.0296 dm3 1 ft3 = 28.32 dm3 1 m3 = 1000 dm3 1 U.S. gal = 3.785 dm3 1 liter (L) = 1 dm3

Length

 1 Å = 10–8 cm 1 dm = 10 cm 1 μm = 10–4 cm 1 in. = 2.54 cm 1 ft = 30.48 cm 1 m = 100 cm



Pressure

 1 torr (1 mmHg) = 0.13333 kPa 1 in. H2O = 0.24886 kPa 1 atm 101.33 kPa 1 psia = 6.8943 kPa 1 megadyne/cm2 = 100 kPa 1 bar = 100 kPa

Energy (Work)

 1 kg·m2/s2 = 1 J 1 Btu = 1055.06 J 1 cal 4.1868 J 1 L·atm 101.34 J 1 hp·h = 2.6806 = 106 J 1 kWh = 3.6 × 106 J



Temperature

 °F = 1.8 × °C + 32 °R = °F + 459.69 K = °C + 273.16 °R = 1.8 × K °Réamur = 1.25 × °C

Mass

 1 lbm = 454g 1 kg = 1000 g 1 grain = 0.0648 g 1 oz (avoird.) = 28.35 g 1 ton = 908000 g

Viscosity

1 poise = 1 g/cm/s = 0.1 kg/m/s

1 centipoise = 1 cp = 0.01 poise = 0.1 micro Pascal · second

Force

1 dyne= 1 g · cm/s2

1 Newton= 1 kg · m/s2

Pressure

1 Pa= 1 Newton/m2

Work

A. Work = Force × Distance

1 Joule = 1 Newton · meter = 1 kg m2/s2 = 1 Pa · m3

B. Pressure × Volume = Work

(1 Newton/ m2) · m3 = 1 Newton · m = 1 Joule

1 Watt= 1 J/s

1 hp= 746 J/s

Gravitational Conversion Factor

Gravitational constant

g = 32.2 ft/s2

American Engineering System



SI/cgs System

gc = 1 (Dimensionless)

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