Le Châtelier's principle
Le Châtelier's principle chemical principle that states that if a system in equilibrium is disturbed by changes in determining factors, such as temperature, pressure, and concentration of components, the system will tend to shift its equilibrium position so as to counteract the effect of the disturbance (see chemical equilibrium ). For example, at a given temperature a covered beaker partly filled with water constitutes a system in which the liquid water is in equilibrium with the water vapor that forms above the surface of the liquid. While some molecules of liquid are absorbing heat and evaporating to become vapor, an equal number of vapor molecules are giving up heat and condensing to become liquid. If stress is put on the system by raising the temperature, then according to Le Châtelier's principle the rate of evaporation will exceed the rate of condensation until a new equilibrium is established. At the new equilibrium point a greater proportion of molecules will exist in the vapor phase. Le Châtelier's principle is evident in chemical systems, as in the common-ion effect and in buffer solutions (see also separate article on p H). Le Châtelier's principle can be used to encourage formation of a desired product in chemical reactions. In the Haber process for the industrial synthesis of ammonia, nitrogen gas and hydrogen gas react to form ammonia gas in the reaction N 2 +3H 2 →2NH 3 ; the process is exothermic, i.e., one that gives off heat. Since four molecules—three of hydrogen and one of nitrogen—react to form two molecules of ammonia, the reactants have a higher gas pressure than the products. When the reaction is run under high external pressure, up to 1000 atmospheres, and relatively low temperature, about 500°C (932°F), the system favors formation of the substance that will result in a lower total number of molecules, i.e., the ammonia. Running the reaction at relatively low temperature causes it to go far to completion, although if the temperature is too much below 500°C the rate of reaction is too slow.
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LUCREZIA BORGIA: LIFE, LOVE AND DEATH IN RENAISSANCE ITALY
Magazine article from: The Spectator; 10/9/2004; ; 700+ words
; Beauty, not a beast LUCREZIA BORGIA: LIFE, LOVE AND DEATH IN RENAISSANCE...p&p) 0870 800 4848 Lucrezia Borgia is one of the most notorious...the truly appalling Cesare Borgia. Lucrezia has had her defenders, but...
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Lucrezia Borgia unmasked
Newspaper article from: The Independent - London; 11/26/2008; ; 700+ words
; ...a single portrait survives of Lucrezia Borgia, the infamous Italian Renaissance...only formal painted portrait of Lucrezia Borgia." That note of caution may...attempted to identify portraits of Lucrezia Borgia, but this appears to be the...
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More pawn than porn Lucrezia Borgia was far from being the voluptuous sex-fiend of popular legend, finds Virginia Rounding
Newspaper article from: The Sunday Telegraph London; 9/26/2004; ; 700+ words
; Lucrezia Borgia: Life, Love and Death in Renaissance...pounds 2.25 p&p) 0870 155 7222 LUCREZIA BORGIA is one of those great historical figures...Bradford has fulfilled her aim of letting Lucrezia Borgia speak for herself and allowing the...
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Interview: Giovanni Lenzerini discusses the Italian city of Ferrara's efforts to celebrate the life of Lucrezia Borgia
Transcript from: NPR Weekend Edition - Sunday; 2/10/2002; ; 700+ words
; ...efforts to celebrate the life of Lucrezia Borgia Host: LISA SIMEONE Time: 8...ago this month, a woman named Lucrezia Borgia came to the northern Italian...has declared 2002 the year of Lucrezia Borgia, with a full slate of cultural...
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OPERA PREVIEW; Quintiliani plays villain in Lucrezia Borgia'
Newspaper article from: The Patriot Ledger Quincy, MA; 4/18/2006; ; 700+ words
; ...Ledger By the end of the opera "Lucrezia Borgia," soprano Barbara Quintiliani...breakthrough for her because "Lucrezia Borgia" is so musically complex it...The daughter of the Pope, Lucrezia Borgia is perhaps one of the most infamous...
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The less bad Borgia; Compared with the rest of her clan, Lucrezia was really pretty harmless.
Newspaper article from: The Evening Standard (London, England); 10/11/2004; 700+ words
; Byline: ROY STRONG Lucrezia Borgia: Life, Love and Death in Renaissance Italy by Sarah Bradford...Ogden Nash: "How would you like to be up a dark alley with Lucrezia Borgia coming towargia." Well, a bit more so after reading Sarah...
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HOW POPE'S ILLEGITIMATE DAUGHTER LUCREZIA BORGIA GOT WEALTHY DURING AN ECONOMIC DOWNTURN
News Wire article from: The Hindustan Times; 1/8/2009; 700+ words
; ...historian sheds new light on how Lucrezia Borgia, the illegitimate daughter of...expenses and become an entrepreneur, Lucrezia would control between 30,000...centuries-old mystery surrounding how Lucrezia accumulated her vast personal wealth...
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Lucrezia Borgia: Life, Love and Death in Renaissance Italy.(Brief article)(Book review)
Magazine article from: The Historian; 6/22/2006; ; 700+ words
; Lucrezia Borgia: Life, Love and Death...Bradford has difficulty pulling Lucrezia out from the shadow of her...focuses more directly on Lucrezia herself, who, as the pope...evil that might keep Cesare Borgia at bay. After Alexander...
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'Lucrezia Borgia': Uneven but Not Uneventful
Newspaper article from: The Washington Post; 11/3/2008; ; 700+ words
; Donizetti's Lucrezia Borgia wears a mask at her first entrance...impassioned singing as possible. "Lucrezia Borgia" is filled with misunderstandings...communication tools -- couldn't Lucrezia just tell her husband that Gennaro...
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Lucrezia Borgia: Washington National Opera.
Magazine article from: Opera Canada; 3/22/2009; 700+ words
; Lucrezia Borgia is a prima donna's opera...world's) first millennial Borgia. [ILLUSTRATION OMITTED...But it was the alternate Borgia who cut deeper into the...admired Fleming's Carnegie Lucrezia, she's a very different...
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Borgia, Lucrezia
Encyclopedia entry from: U*X*L Encyclopedia of World Biography
Lucrezia Borgia Born: April 18, 1480 Rome, Italy...1519 Ferrara, Italy Italian duchess Lucrezia Borgia, Duchess of Ferrara, earned a reputation...their own political goals. Early life Lucrezia Borgia was born during Italy's Renaissance...
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Lucrezia Borgia, Duchess of Ferrara
Encyclopedia entry from: Encyclopedia of World Biography
Lucrezia Borgia, Duchess of Ferrara Lucrezia Borgia (1480-1519) was Duchess of Ferrara, a renowned poisoner...was a pawn in the intrigues of her father and brother. Lucrezia Borgia was born into the Renaissance world of Italy (1320-1520...
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Borgia, Lucrezia (1480–1519)
Book article from: The Renaissance
Borgia, Lucrezia (1480 – 1519) The daughter...his mistress Vannozza dei Cattani, Lucrezia Borgia was born in the Italian town of Subiaco...that Alexander VI as well as Cesare Borgia, Lucrezia's brother, were having incestuous...
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Lucrezia Borgia
Book article from: The Columbia Encyclopedia, Sixth Edition
Lucrezia Borgia , 1480-1519, Italian...Her brother, Cesare Borgia , had her second husband...1500, and, in 1501, Lucrezia was married to Alfonso...proved. Nevertheless, Lucrezia Borgia remains best known as portrayed...
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Lucrezia Bori
Encyclopedia entry from: Encyclopedia of World Biography
Lucrezia Bori Opera singer Lucrezia Bori (1887-1960), known for years as the...descendant of Renaissance Italy's powerful Borgia family; her name in Italian, in fact, was Lucrezia Borgia. Her family, however, insisted she change...
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