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Unformatted text preview: ChE 2114 First Quiz January 25, 2008
g=9.81n1/s2 or 32.2 an;2 R: 1.8K
l. (25 points) The potential energy of an object at a height h above sorne reference level is given by the familiar relationship PE = rngh. Calculate the potential
energy (in ﬁ'lbf) of a 20.0 pound mass located at a height "F50 feet above the reference level. L (7
v I ' _ :4. '5.
Pt: 3 go 0’32 23fjéz O‘Ct) =1.6ox103ft”9  “9% 2. (25 points) The Weber Number (We) is a dimensionless group useful in the
analysis of certain types of ﬂuid ﬂow. We = pv2Xr’cr Where: p : density of the ﬂuid
v = velocity ofthe ﬂuid
(3 = surface tension, in units of Newtons per meter, Ni’m
X = a quantity with a base unit Using SI units, what is the base unit of the quantity X? W C“; : .
(£75 J
Quantity Equivalent Values
Mass 1kg = 1000 g = 0001 metric ton = 2.204621bn1 = 35.27392 02
111:m = 16 oz = 5 x 10“ ton = 453.593 g = 0.453593 kg
Length 1 m = 100 em = 1000 mm = 106 microns (p.111) ? 1010 angstroms (43L)
= 39.37111. = 3.2808 ft = 1.0936 yd = 00006214111013
11: = 12m. = 1/3 yd = 0.3048m = 30.48 cm
Volume 1m3 = 10001. = 106 cm3 = 106 m1,
= 35.3145 ft3 = 220.83 imperial gallons = 264.17 gal
= 1056.68 qt
1 r13 = 1728111? = 7,4805 gal = 0.028317 m3 = 28.31? L
= 28317 cm3
Force 1N = 1 kgmfsz = 105 dynes = 105 gcmxs2 = 0.2248111)f
111)f = 32.17'4lbmws2 = 4.4482N = 4.4482 x 10ﬁ dynes
Pressure 1 atm = 1.01325 x 105 1916110341) = 101.325 kPa = 1.01325 bar
= 1.01325 x 106 dynesfcmz
= 760 mm Hg at 0°C (torr) = 10.333 rn H20 at 4°C
= 14.696 18016.2 (psi) = 33.9 ft H20 at 4°C
.5 = 29.921 in. Hg at 0°C Energy 1J = lNm = 107 ergs = 10:r dyne‘cm
= 2.778 X 10"? WW: = 0.23901 cal
= 0.7376 ftlbf = 9.486 x 10'4 Btu L.» (30 points) A gas mixture is 200 mass % N2 (MW = 28.0) and 80.0 mass % C02
(MW = 44.0). Calculate the average molecular weight of the gas mixture. {am I (00:28 ——""'O : mwwna
23.0
300 2: LS’ESWCJOA
"i‘ﬁ'O
057V? 2; OAQLMW N; awe+13% _ .
o. '7 l5? aura. M vs : 0.191(za.o)+0.7l9(+4—.o)
3‘— _3‘i. 5.
4. (20 points)
(a) For the relationship PWy = C when lnP (vertical axis) is plotted versus an (horizontal axis) on
rectangular coordinate paper, what is the slope of the resulting straight
line? amen/eucvtmﬂuc
«lb/LP4. (fr/ﬂwvr—‘X/NC,
,e/WP : ‘— %/e/VL\r/ th/awcz 5W?“— Given the relationship between rate constant for a chemical reaction and
absolute temperature: k = Ae'm’mom, where the units of k are W I
second"1 and T is Kelvin temperature. The units of A are (b) If this equation is rewritten using Rankine temperature rather than Kelvin,
k = Aelm), where T is Rankine temperature, the value of X must be 2.] (=00
_ 17.0920 
Jig—4A5, 1’ mpmMW K.
‘x' xlcwm' %K
R = l. &?K
'x = £302,000) I—ZJAOOR L:Af_‘_? ...
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 Fall '08
 PLDurrill
 Kilogram, base unit, gas mixture, Rankine temperature, familiar relationship PE, Quantity Equivalent Values

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