Isothermal Reactor Design

This quiz contains multiple-choice problems on CSTRS design.

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Using a number of CSTRs in series is preferable to achieve a specific conversion than a single CSTR. True or false?

True

False

For very low conversion, the value of the Damkohler number is

≤ 0.1

> 10

≥ 0.1

= 10

For different sized CSTRs in series, the best system is one having a minimum volume for a specific conversion. True or false?

True

False

In terms of conversion, half-life is the time taken for

50% conversion

75% conversion

20% conversion

30% conversion

For a second-order reaction, t.0.5 is directly proportional to the initial concentration. True or false?

True

False

For equal-sized CSTRs in series carrying out first-order reactions, the concentration at the outlet of the nth reactor is

C{N} = 1/(1 + τk)^N

C{N} = C{0}/(1 + τ)^N

C{N} = C{0}/(1 + k)^N

C{N} = C{0}/(1 + τk)^N

What is the mole balance of a component in a CSTR (where F0 is the molar flow rate of reactant entering and F is the exit molar flow rate)?

F{0} = FX + F

F{0} = FX + F{0}

F{0} = F{0}X + F

F{0} = X + F

For ‘i’ CSTRs of variable volume in series, the residence time in the [i]th reactor is

τ{i} = C{i}/r{i}

τ{i} = (C{i} - C{i-1})/r{i}

τ{i} = -C{i}/r{i}

τ{i} = -C{i-1}/r{i}

For equal-sized CSTRs in series carrying out 1st order reactions of constant density, which of the following is true (k{i} is the rate constant in a reactor ‘i’ in series)?

k{1} ≠ k{2} ≠ … ≠ k{n}, τ{1} = τ{2} = … = τ{n}

k{1} = k{2} = … = k{n}, τ{1} = τ{2} = … = τ{n}

k{1} = k{2} = … = k{n}, τ{1} ≠ τ{2} ≠ … ≠ τ{n}

k{1} < k{2} < …

What is the concentration C4 at the end of the fourth reactor for n unequal sized CSTRs in series, where X{4} is the conversion in the fourth reactor?

C{4} = (1 – X{4})

C{4} = C{0}X{4}

C{0} = C{4} (1 – X{4})

C{4} = C{0}(1 – X{4})

Quiz/Test Summary
Title: Isothermal Reactor Design
Questions: 10
Contributed by:
Ivan