IChO 1990, Теория — Задача 4. Problem 4 — Roasting Zinc Blende

Twenty-second International Chemistry Olympiad — 1990 — Theoretical problems (Volume 2, 2009)

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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
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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

The production of zinc from zinc blende, ZnS\mathrm{ZnS}, is a two-stage process: roasting in air and reduction of the zinc oxide formed with carbon monoxide. Consider the roasting reaction:

ZnS(s)+32O2(g)⟶ZnO(s)+SO2(g),ΔrH1350∘=−448.98 kJ mol−1.\mathrm{ZnS(s)+\tfrac32 O_2(g)\longrightarrow ZnO(s)+SO_2(g)},\qquad \Delta_\mathrm r H^\circ_{1350}=-448.98\ \mathrm{kJ\,mol^{-1}}.

Industrially, the reaction is carried out at 1350 K1350\ \mathrm K.

Questions

4.1 Show that the reaction is self-sustaining: the heat evolved is sufficient to bring the reactants from ambient temperature to the reaction temperature. Assume that the mineral contains only ZnS\mathrm{ZnS}.

4.2 Starting with a stoichiometric mixture of one mole of zinc blende and the necessary amount of air at 298 K298\ \mathrm K, calculate the temperature to which the mixture can be raised by the heat evolved in roasting at 1350 K1350\ \mathrm K, at standard pressure. Is the reaction self-sustaining? The volume ratio of oxygen to nitrogen in air is 1:41:4.

4.3 Assume that the gangue contains only unreactive silica, SiO2\mathrm{SiO_2}. Calculate the minimum zinc sulphide content for which roasting remains self-sustaining at 1350 K1350\ \mathrm K. Express the result as grams of ZnS\mathrm{ZnS} per 100 g100\ \mathrm g of zinc blende.

The standard molar heat capacities are averaged over the temperature range considered.

Substancecp/(J K−1 mol−1)c_p/(\mathrm{J\,K^{-1}\,mol^{-1}})
ZnS\mathrm{ZnS} (solid)58.05
ZnO\mathrm{ZnO} (solid)51.64
SO2\mathrm{SO_2} (gas)51.10
O2\mathrm{O_2} (gas)34.24
N2\mathrm{N_2} (gas)30.65
SiO2\mathrm{SiO_2} (solid)72.50

Molar masses: M(ZnS)=97.5 g mol−1M(\mathrm{ZnS})=97.5\ \mathrm{g\,mol^{-1}}; M(SiO2)=60.1 g mol−1M(\mathrm{SiO_2})=60.1\ \mathrm{g\,mol^{-1}}.

Source notes

The question prints a negative roasting enthalpy; the solution uses ΔrH∘\Delta_\mathrm rH^\circ for its positive heat magnitude. The native solution places the maximum-temperature calculation under 4.1 and the silica calculation under 4.2, despite the question's request numbering. Those placements are retained.

Решение


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