IChO 1990, Теория — Задача 7. Problem 7 — Continuous Hydrogenation of Benzene
Twenty-second International Chemistry Olympiad — 1990 — Theoretical problems (Volume 2, 2009)
Внимание: Бележка към темата
Attributed archive/compiler teaching source. Retain the Volume 2 attribution and native copying conditions; the printed teaching grant does not establish a broader commercial licence. This 2009 collection is not an unchanged complete jury packet: the editorial preface describes recreated presentation and schemes, numerical corrections, brief keys and omitted practical material. Printed errors, absent measurements, incomplete methods, missing forms and missing answers remain disclosed.
Compilation edition and teaching attribution
Anton Sirota (editor), The Competition Problems from the International Chemistry Olympiads, Volume 2, IChO International Information Centre, Bratislava, IUVENTA, 2009.
Attributed archive/compiler teaching source. Retain the Volume 2 attribution and native copying conditions; the printed teaching grant does not establish a broader commercial licence. This 2009 collection is not an unchanged complete jury packet: the editorial preface describes recreated presentation and schemes, numerical corrections, brief keys and omitted practical material. Printed errors, absent measurements, incomplete methods, missing forms and missing answers remain disclosed.
Native copyright and teaching-copy conditions
THE COMPETITION PROBLEMS FROM THE INTERNATIONAL CHEMISTRY OLYMPIADS,
Volume 2
21st – 40th IChO (1989 – 2008)
Editor: Anton Sirota
ISBN 978-80-8072-092-6
Copyright © 2009 by IUVENTA – IChO International Information Centre, Bratislava, Slovakia
You are free to copy, distribute, transmit or adapt this publication or its parts for unlimited teaching purposes,
however, you are obliged to attribute your copies, transmissions or adaptations with a reference to "The
Competition Problems from the International Chemistry Olympiads, Volume 2" as it is required in the
chemical literature. The above conditions can be waived if you get permission from the copyright holder.
Issued by IUVENTA in 2009
with the financial support of the Ministry of Education of the Slovak Republic
Number of copies: 250
Not for sale.
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Native editorial preface
Preface
Preface
Preface
Preface
This publication contains the competition problems (Volume 2) from the 21st – 40th
International Chemistry Olympiads (IChO) organized in the years 1989 – 2008 and is a
continuation of the publication that appeared last year as Volume 1 and contained
competition problems from the first twenty IChOs. The whole review of the competition
tasks set in the IChO in its fourty-year history is a contribution of the IChO International
Information Centre in Bratislava (Slovakia) to the development of this world known
international competition. This Volume 2 contains 154 theoretical and 46 practical
competition problems from the mentioned years. The review as a whole presents
altogether 279 theoretical and 96 practical problems.
In the elaboration of this collection the editor had to face certain difficulties because
the aim was not only to make use of past recordings but also to give them such a form
that they may be used in practice and further chemical education. Consequently, it was
necessary to make some corrections in order to unify the form of the problems. However,
they did not concern the contents and language of the problems.
Unfortunately, the authors of the particular competition problems are not known and
due to the procedure of the creation of the IChO competition problems, it is impossible to
assign any author's name to a particular problem. As the editor I would appreciate many
times some discussion with the authors about any critical places that occurred in the text.
On the other hand, any additional amendments to the text would be not correct from the
historical point of view. Therefore, responsibility for the scientific content and language of
the problems lies exclusively with the organizers of the particular International Chemistry
Olympiads.
Some parts of texts, especially those gained as scanned materials, could not be used directly and thus, several texts, schemes and pictures had to be re-written or created again. Some solutions were often available in a brief form and necessary extent only, just for the needs of members of the International Jury.
Recalculations of the solutions were made in some special cases only when the numeric results in the original solutions showed to be obviously not correct. Although the numbers of significant figures in the results of several solutions do not obey the criteria generally accepted, they were left without change.
In this publication SI quantities and units are used and a more modern method of
chemical calculations is introduced. Only some exceptions have been made when, in an
effort to preserve the original text, the quantities and units have been used that are not SI.
There were some problems with the presentation of the solutions of practical tasks,
because most of the relatively simple calculations were based on the experimental results
of contestants. Moreover, the practical problems are accompanied with answer sheets in
the last years and several additional questions and tasks have appeared in them that were
not a part of the text of the original experimental problems. Naturally, answer sheets could
not be included in this publication and can only be preserved as archive materials.
When reading the texts of the IChO problems one must admire and appreciate the work of those many known and unknown people – teachers, authors, pupils, and organizers – who contributed so much to development and success of this important international competition.
I am sure about the usefulness of the this review of the IChO problems. It may serve not only as archive material but, in particular, this review should serve to both competitors and their teachers as a source of further inspiration in their preparation for this challenging competition.
Bratislava, July 2009
Anton Sirota, editor
Условие
Tick the appropriate boxes in the answer-sheet tables.
Benzene is hydrogenated continuously to cyclohexane:
Two types of reactor are considered.
Plug reactor. The flows and are introduced and mixed at the inlet. A marked slice of the reaction mixture moves through the reactor without mixing with other slices. is the outlet flow. At steady state, the composition is independent of time but depends on position.

Stirred reactor. The flows and are mixed perfectly and instantaneously. At steady state, the composition is independent of time and identical at every point.

The differential yield is defined by:
Figure 3 shows the differential yield as a function of .

The aim is to obtain with the best mean yield:
Questions
7.1
For a stirred reactor, determine the value of giving the maximum mean yield and the maximum value of .
7.2
For a plug reactor with , estimate the mean yield: , , or .
7.3
Shade on Figure 3 the losses for a plug reactor (P) and for a combination of a stirred reactor and a plug reactor (MP).
7.4
For an annual consumption of tons of benzene, calculate the loss with P and with MP.
Source notes
The question prints a positive and uses uppercase for both differential and mean yield. The key uses lowercase for differential yield and repeatedly calls its graph Figure 1, whereas the question's yield graph is Figure 3. The sentence “quantity of benzene lost ... ” is preserved alongside the shaded native yield graphs. The requested blank answer-sheet tables are absent from the obtained collection pages.
Решение
7.1
At steady state, the composition of a stirred reactor is uniform, so the differential yield equals the mean yield . The maximum is at . The printed key refers to Figure 1.
7.2
For a slice of a plug reactor, at the entry and , so and . At the outlet, and , so and . The mean over is (Figure 1).
7.3
The quantity of benzene lost, not hydrogenated, is . The loss for P is shaded in Figure 1. For MP, the loss in the stirred reactor is , independent of up to . Above , the plug reactor has the same loss as in Figure 1.


7.4
P: loss, corresponding to tons.
MP: the yield is , except for , where there is a slight decrease to which is neglected. The overall yield is , giving a loss of tons.
Оригинал в Архива: IChO 21st-40th.pdf · решение от архива: IChO 21st-40th.pdf · допълнителни данни: IChO 21st-40th.pdf · допълнителни данни: IChO 21st-40th.pdf