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Fluid Solid Reactions Questions and Answers

11.

State whether the following is true or false.
The shrinking core model assumes the unreacted core is non-porous.

Answer: C

Correct answer: True

It is the model’s defining assumption: the reaction is confined to a sharp boundary between fully converted ash and entirely unreacted core, because nothing penetrates the core. Where the solid is porous the reaction occurs throughout the particle instead, and the progressive conversion model applies rather than this one - which is the first question to ask before fitting either.

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Answer: D

The diffusion path lengthens as the core shrinks, so the rate falls even at constant conditions. This is why ash diffusion control gives such a strong dependence on particle size. The path lengthens as the core shrinks.

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13.

Assertion (A): The rate of a shrinking core reaction under ash diffusion control falls as conversion proceeds.
Reason (R): The diffusion path through the product layer lengthens as the core shrinks.

Answer: A

Both are true and the reason gives the mechanism, and the last part of the conversion therefore takes disproportionately long, which matters greatly when a high conversion is required. The last stages take the longest.

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14.

Consider the following statements about mixtures of particle sizes.
1. Small particles convert completely before large ones.
2. The overall conversion is a weighted average over the size distribution.
3. The mean size alone is enough to predict the overall conversion.

Answer: B

The first two are correct. The third is wrong, since the relation between time and size is non-linear and using the mean size gives a systematically wrong answer. The distribution must be integrated. Small particles finish long before large ones.

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15.

Assertion (A): A mixture of particle sizes cannot be treated as a single mean size.
Reason (R): The conversion time relation is non-linear in the particle radius.

Answer: C

Correct answer: Both A and R are true, and R is the correct explanation of A

Both are true and the reason gives the cause. Because the conversion time depends non-linearly on radius, the average conversion of a mixture is not the conversion of the average particle - the small particles finish long before the large ones and then contribute nothing further, while the large ones dominate the time to reach high overall conversion. A size distribution must therefore be integrated over rather than replaced by a mean.

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16.

Arrange the resistances of a shrinking core reaction in the order the fluid encounters them.
1. the surface of the unreacted core
2. the gas film around the particle
3. the reverse journey of the product
4. the layer of product ash

Answer: D

The fluid must cross each of them in turn, and any one can dominate the overall rate. Identifying which one does is the whole of understanding the kinetics, and the order cannot be rearranged since each resistance lies physically inside the one before it.

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Answer: A

Ore roasting and coal combustion both exploit this, and the vigorous mixing prevents local overheating. The solids residence time distribution is broad, which means some particles leave before they are fully converted.

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18.

Assertion (A): A fluidised bed gives some particles a much shorter residence time than others.
Reason (R): The solids are well mixed, so their residence time distribution is close to that of a stirred tank.

Answer: B

Both are true and the reason gives the consequence: complete conversion of every particle is impossible in a single well mixed stage, which is why several stages in series are sometimes used. Some particles leave almost immediately.

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19.

Consider the following statements about reactor choice for fluid solid reactions.
1. A moving bed gives something close to plug flow of the solids.
2. A fluidised bed gives well mixed solids and uniform temperature.
3. A fluidised bed gives the more complete conversion of the two.

Answer: C

The first two are correct. The third is inverted, since well mixed solids means some particles leave almost at once, while a moving bed gives every particle the same time. Mixing and conversion pull against each other.

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20.

Three of the following are non-catalytic fluid solid reactions. Which is the odd one out?

Answer: D

The iron in ammonia synthesis is a catalyst and is not consumed, so the reaction is catalytic rather than a fluid solid reaction proper. The other three all transform the solid itself. A catalyst is regenerated each cycle.

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