The following empirical equation correlates the values of variables in a system in which solid particles are suspended in a flowing gas: kg day D Case PD Both andare dimensionless groups; k, is a coefficient that expresses the rate at which a particular species transfers from the gas to the solid particles; and the coefficients 2.00 and 0.600 are dimensionless constants obtained by fitting experimental data covering a wide range of values of the equation variables. Estimate the values of k, for the following data: pay attention to units. 1 2 = 2.00+ 0.600 3 d₂ 3.00 mm 1/3 1/2 • (-)" (") " 0.300 in 0.350 cm (dimensionless) 0.100 0.100 0.200 D 0.170 cm²/s 1.10 x 104 ft²/s 2.60 x 10-5 m²/s H 2.20 x 10-5 (N-s)/m² 3.00 x 10-7(b) At² 2.00 x 104 g/km/s) 0.750x10-3 g/cm³ 0.0500 lbft 1.30 kg/m³ 20.0 m/s 420ft/s 10000 cmv/s 651 656 314 ft/s cm/s

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The following empirical equation correlates the values of variables in a system in which solid particles are suspended in a flowing gas:
1/3
(5)" (¹²) "
(d, up
kg day
D
Both and
PD
are dimensionless groups; k, is a coefficient that expresses the rate at which a particular species transfers from
the gas to the solid particles; and the coefficients 2.00 and 0.600 are dimensionless constants obtained by fitting experimental data
covering a wide range of values of the equation variables.
Estimate the values of k, for the following data; pay attention to units.
Case
1
= 2.00+ 0.600
2
3
3.00
mm
0.300 in
0.350
cm
(dimensionless)
0.100
0.100
0.200
D
0.170 cm²/s
1.10 x 104
ft²/s
2.60 x 10-5
m²/s
"
2.20 x 10-5
(N-1)/m²
3.00 x 10-7(b)
Mt²
2.00 x 104
g/cm-s)
P
0.750 x 10-3
g/cm³
0.0500lb/ft²
1.30 kg/m³
20.0 m/s
42.0ft/s
1000.0
cm/s
651
656
314
m/s
ft/s
cm/s
Transcribed Image Text:The following empirical equation correlates the values of variables in a system in which solid particles are suspended in a flowing gas: 1/3 (5)" (¹²) " (d, up kg day D Both and PD are dimensionless groups; k, is a coefficient that expresses the rate at which a particular species transfers from the gas to the solid particles; and the coefficients 2.00 and 0.600 are dimensionless constants obtained by fitting experimental data covering a wide range of values of the equation variables. Estimate the values of k, for the following data; pay attention to units. Case 1 = 2.00+ 0.600 2 3 3.00 mm 0.300 in 0.350 cm (dimensionless) 0.100 0.100 0.200 D 0.170 cm²/s 1.10 x 104 ft²/s 2.60 x 10-5 m²/s " 2.20 x 10-5 (N-1)/m² 3.00 x 10-7(b) Mt² 2.00 x 104 g/cm-s) P 0.750 x 10-3 g/cm³ 0.0500lb/ft² 1.30 kg/m³ 20.0 m/s 42.0ft/s 1000.0 cm/s 651 656 314 m/s ft/s cm/s
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