24 Questions
Which type of reaction model is considered in the discussions on reaction models in the text?
Reaction of single particles only
In the Shrinking Particle Model, how does the particle size change as the reaction proceeds?
The particle size decreases
What is the reaction equation for the Shrinking Particle Model?
A(fluid) + bB(solid) = cR (fluid) + dD(removable solid)
Which of the following is the correct way to write the equation for a line in slope-intercept form?
y = mx + b
Which of the following is the correct formula for the area of a rectangle?
A = l * w
Which of the following formulas represents the Pythagorean Theorem?
a^2 + b^2 = c^2
Which of the following is the correct formula for the circumference of a circle?
C = 2πr
Which of the following is the correct formula for the volume of a sphere?
V = (4/3)πr^3
Which equation represents the macro mass balance equation for reaction engineering?
$V \frac{dVC_A},{dt} = F_iC_{Ai} - F_oC_{Ao} + \int r_A dV$
Which reactor type has a spatially uniform reaction rate?
Plug Flow Reactor (PFR)
Which reactor type has the lowest effluent reactant concentration for n>0?
Plug Flow Reactor (PFR)
Which reactor type requires the largest volume for a given duty for n>0?
Continuously Stirred Tank Reactor (CSTR)
Which type of reactor is characterized by a well-mixed stirred tank operated continuously and is normally run at steady-state?
Continuously Stirred Tank Reactor
What is the equation for the mass balance for solid reactant B within each solid grain?
$-\rho_B \frac{dC_B}{dt} = bks C_B^{25}$
What is the equation for the relationship between time and conversion in a reactor, given the dimensionless variable $t^*$ and the shrinking core reaction modulus $\sigma$?
$t^* \approx gFg(x) + \sigma^2 Fp(x)$
What is the residence time in a plug flow reactor (PFR)?
The time required to process one reactor volume of feed based on entrance conditions
Which of the following is true about the reaction rate expression for a first-order reaction assuming interfacial chemical reaction and fast external mass transfer?
The reaction rate is given by $-\frac{d[B]}{dt} = -bks[C_b]$
In the case of a single porous particle, when does the overall reaction become strongly influenced by pore diffusion?
When no solid product is formed and diffusion offers no resistance
What is the mass balance equation for a single porous particle when no solid product is formed and diffusion offers no resistance?
$\frac{d^2[C_b]}{dx^2} - k_sSV[C_b]^n = 0$
What is the solution to the mass balance equation for a single porous particle when no solid product is formed and diffusion offers no resistance?
$\frac{1}{2}\left(\frac{d[C_b]}{dx}\right)^2 = \frac{k_sSV}{n+1}[C_s]^{n+1}$
Which of the following steps is NOT part of the overall process in the Shrinking Core Model?
Reaction at the surface of the particle
What is the rate of external mass transport across the boundary layer in the Shrinking Core Model?
$-r_B = 4\pi r_o^2 k_m(C_b - C_s)$
What is the rate of disappearance of B in the Shrinking Core Model?
$-\frac{dn_B},{dt} = -b\frac{dn_A},{dt} = -\rho_B \frac{dV},{dt} = -4\pi \rho_B r_c^2 \frac{dr_c},{dt}$
What is the expression for the change in the unreacted core with time in the Shrinking Core Model?
$r^2 \frac{dt},{dX} = 6bDB_oC[1 - 3(1 - X)^2 + 2(1 - X)^3]$
Test your understanding of reaction rates and interfacial chemical reactions with this quiz. Explore how particle shape and external mass transfer influence the rate expression. Challenge yourself with questions on first-order reactions and their rate equations. Get ready to dive into the fascinating world of reaction kinetics!
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