Reaction Rates and Interfacial Chemical Reactions

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Which type of reaction model is considered in the discussions on reaction models in the text?

Reaction of particles in suspension

Reaction of multiple particles only

Reaction of both single and multiple particles

Reaction of single particles only (correct)

In the Shrinking Particle Model, how does the particle size change as the reaction proceeds?

The particle size fluctuates

The particle size decreases (correct)

The particle size remains constant

The particle size increases

What is the reaction equation for the Shrinking Particle Model?

A(fluid) + bB(solid) = cD(removable solid)

A(fluid) + bB(solid) = cR (fluid)

A(fluid) + bB(solid) = cR (solid) + dD(removable solid)

A(fluid) + bB(solid) = cR (fluid) + dD(removable solid) (correct)

Which of the following is the correct way to write the equation for a line in slope-intercept form?

y = mx + b Signup and view all the answers

Which of the following is the correct formula for the area of a rectangle?

A = l * w Signup and view all the answers

Which of the following formulas represents the Pythagorean Theorem?

a^2 + b^2 = c^2 Signup and view all the answers

Which of the following is the correct formula for the circumference of a circle?

C = 2πr Signup and view all the answers

Which of the following is the correct formula for the volume of a sphere?

V = (4/3)πr^3 Signup and view all the answers

Which equation represents the macro mass balance equation for reaction engineering?

$V \frac{dVC_A},{dt} = F_iC_{Ai} - F_oC_{Ao} + \int r_A dV$ Signup and view all the answers

Which reactor type has a spatially uniform reaction rate?

Plug Flow Reactor (PFR) Signup and view all the answers

Which reactor type has the lowest effluent reactant concentration for n>0?

Plug Flow Reactor (PFR) Signup and view all the answers

Which reactor type requires the largest volume for a given duty for n>0?

Continuously Stirred Tank Reactor (CSTR) Signup and view all the answers

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 Signup and view all the answers

What is the equation for the mass balance for solid reactant B within each solid grain?

$-\rho_B \frac{dC_B}{dt} = bks C_B^{25}$ Signup and view all the answers

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 $\sigma$?

$t^* \approx gFg(x) + \sigma^2 Fp(x)$ Signup and view all the answers

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 Signup and view all the answers

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 $-\frac{d[B]}{dt} = -bks[C_b]$ Signup and view all the answers

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 Signup and view all the answers

What is the mass balance equation for a single porous particle when no solid product is formed and diffusion offers no resistance?

$\frac{d^2[C_b]}{dx^2} - k_sSV[C_b]^n = 0$ Signup and view all the answers

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?

$\frac{1}{2}\left(\frac{d[C_b]}{dx}\right)^2 = \frac{k_sSV}{n+1}[C_s]^{n+1}$ Signup and view all the answers

Which of the following steps is NOT part of the overall process in the Shrinking Core Model?

Reaction at the surface of the particle Signup and view all the answers

What is the rate of external mass transport across the boundary layer in the Shrinking Core Model?

$-r_B = 4\pi r_o^2 k_m(C_b - C_s)$ Signup and view all the answers

What is the rate of disappearance of B in the Shrinking Core Model?

$-\frac{dn_B},{dt} = -b\frac{dn_A},{dt} = -\rho_B \frac{dV},{dt} = -4\pi \rho_B r_c^2 \frac{dr_c},{dt}$ Signup and view all the answers

What is the expression for the change in the unreacted core with time in the Shrinking Core Model?

$r^2 \frac{dt},{dX} = 6bDB_oC[1 - 3(1 - X)^2 + 2(1 - X)^3]$ Signup and view all the answers