The Shrinking Core Model

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23 Questions

According to the text, what is the purpose of selecting a reaction model in the design of reaction systems?

To accurately predict and describe the actual kinetics

What type of reaction model is considered when the particle size decreases as the reaction proceeds with time?

Shrinking Particle Model

In the reaction equation A(fluid) + bB(solid) = cR (fluid) + dD(removable solid), what does 'b' represent?

The stoichiometric coefficient of B

Which factor determines the rate expression of a reaction according to the given text?

The shape of the particle

What is the equation for the reaction rate assuming first-order reaction?

$\frac{d[A]}{d[B]} = -4\pi\rho_B \cdot r_c^2$

In the reaction of a single porous particle, when no solid product is formed and diffusion offers no resistance, what influences the overall reaction?

Pore diffusion

In the grain model, what assumption is made about the resistance due to external mass transfer?

It is negligible

Which of the following is the correct equation for finding the area of a rectangle?

$A = l imes w$

What is the value of $x$ in the equation $3x + 5 = 20$?

$x = 8$

What is the slope of the line passing through the points (2, 5) and (4, 9)?

$m = 2$

What is the value of $x$ in the equation $2(x - 3) = 10$?

$x = 8$

What is the value of $x$ in the equation $5x - 8 = 12$?

$x = 6$

Which equation represents the mass balance for solid reactant B within each solid grain?

$-\rho_B \frac{dC_B}{dt} = b k_s C_B$

What is the relationship between time and conversion given by the solution?

$t^* \approx gFg(x) + \sigma^2 Fp(x)$

Which reactor type is commonly used in metallurgical reactions?

Continuous Flow Stirred Tank Reactor (CFSTR)

What is the purpose of reactor design?

To determine the size of the reactor

According to the text, which factors may control the overall process in the Shrinking Core Model?

All of the above

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

$-r_B = \frac{1},{4\pi r_o} \frac{dn_B},{dt} = \frac{b},{k_m} (C_b - C_s)$

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

$-dn_B = -b \frac{dn_A},{dt} = -\rho_B \frac{dV},{dt} = -4\pi\rho_B r_c^2 \frac{dr_c},{dt}$

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

$r^2 \frac{dC_o},{dt} - \rho_B \int_{r_o}^{r_c} \frac{C_b - C},{r_c^2} dr_c = \frac{bD_eC_b},{3} \int_0^t dt$

Which of the following reactions is an example of a case where a product is formed on the surface of the particle and reaction takes place at the interface between the product layer and the unreacted core?

Reduction of metal oxides

What is the main location of the reaction in a case where a product is formed on the surface of the particle and reaction takes place at the interface between the product layer and the unreacted core?

At the interface between the product layer and the unreacted core

Which of the following is NOT an example of a case where a product is formed on the surface of the particle and reaction takes place at the interface between the product layer and the unreacted core?

Oxidation of metals

Test your knowledge on the Shrinking Core Model, a phenomenon where a product is formed on the surface of a particle and reaction occurs at the interface between the product layer and the unreacted core. This quiz covers examples such as metal oxide reduction, metal oxidation, sulphide roasting, and mineral leaching from ores. Explore the reaction representation and enhance your understanding of this fascinating process.

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