Question

1. Express the answer to the following problems using the correct number of significant figures a. 1.144 x 10 20.0 b. 4.77 x 101 -9.16 x 10 2. Express the Boltzmann constant (1.38065 x 102" kg m's K') in units of miles' lb yrK 3. Convert 9.997 x 101 g cm* into kg km 4. The Reynolds number is used to deseribe the conditions of particle settling If the Reynolds number is given by the following equation Where v, is the particle settling velocity (ms'), D, is the particle diameter (m), pr is the fluid density (kg m'), Ψ is the sphericity parameter (dimensionless), and μ is the fluid viscosity (N s m );express the units of Re in fundamental SI units 5. Monod kinetics is often used to relate the microbial growth rate to the substratıe concentration. Determine the value of the exponential term, n, for the following equation to be dimensionally consistent where μ is the specific microbial growth rate constant (hr''), μ" is the maximum specific growth rate (hr), S is the substrate concentration (mg L), and K, is the half-velocity constant (mg L') 6. Determine whether or not the following equations are dimensionally consistent b. where β, is the first collision frequency function (units of length, time"), is the second collision frequency function (units of length time), k is the Boltzmann constant (N m K) T is the absolute temperature (K), μ is the fluid viscosity ('s m"), d is the diameter of i- sized particles (m), d, is the diameter of j-sized particles (m), G is the root mean square velocity gradient (s''), g is the gravitational constant(m s ,Pr is the particle density (kg m), and py is the fluid density (kg m)

Answer 1

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う 1.38065x1023x 2,205 Jb mile う 1.167 X10!?x10-31 |b. rulez. rile 3 3 2go. ool k moo1 km 3 IS ka km Dou Rey nold numben m S

m 3 m-s s from abore he nd thot Reyneldno menu \" on le speiic outh atCh okove equshm レレ 2

a) Hme (mls) Rorticle density ( m 2 m 3 う魚 m 2 Equahon is not dimanuional, Comuistent 3 Now ure pt units n Right hard Siola tinu .S Equatton is dimeny