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Консультация № 196632
10.10.2019, 10:44
0.00 руб.
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1
Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос:
При изохорном увеличении температуры двухатомного газа в 4 раза его давление возросло в 6 раз. Определите степень диссоциации (отношение числа продиссоциированных (распавшихся) молекул к начальному числу молекул) в данном процессе.
При изохорном увеличении температуры двухатомного газа в 4 раза его давление возросло в 6 раз. Определите степень диссоциации (отношение числа продиссоциированных (распавшихся) молекул к начальному числу молекул) в данном процессе.
Обсуждение
12.10.2019, 08:37
общий
это ответ
Здравствуйте, irinasoboleva76!
Дано: p1, T1, V -- параметры двухатомного газа в начальном состоянии; p2=6p1, T2=4T1, V -- параметры смеси двухатомного и одноатомного газов в конечном состоянии.
Определить: [$945$] -- степень диссоциации газа в конечном состоянии.
Решение
Обозначим x -- количество вещества двухатомного газа в начальном состоянии, y -- количество вещества двухатомного газа в конечном состоянии, z -- количество вещества одноатомного газа в конечном состоянии. Тогда
или
Из уравнения Клапейрона -- Менделеева [1, с. 143] получим
или
где R -- универсальная газовая постоянная.
После деления уравнения (3) на уравнение (2) получим
или
Вычитая из уравнения (4) уравнение (1), получим
Тогда искомая степень диссоциации газа составляет
Ответ: 1/2.
Литература
1. Аксенович Л. А., Ракина Н. Н., Фарино К. С. Физика в средней школе. -- Минск: Адукацыя i выхаванне, 2004. -- 720 с.
Дано: p1, T1, V -- параметры двухатомного газа в начальном состоянии; p2=6p1, T2=4T1, V -- параметры смеси двухатомного и одноатомного газов в конечном состоянии.
Определить: [$945$] -- степень диссоциации газа в конечном состоянии.
Решение
Обозначим x -- количество вещества двухатомного газа в начальном состоянии, y -- количество вещества двухатомного газа в конечном состоянии, z -- количество вещества одноатомного газа в конечном состоянии. Тогда
x=y+z/2,
или
2x=2y+z. (1)
Из уравнения Клапейрона -- Менделеева [1, с. 143] получим
p1V=xRT1, (2)
p2V=(y+z)RT2,
или
6p1V=4(y+z)RT1, (3)
где R -- универсальная газовая постоянная.
После деления уравнения (3) на уравнение (2) получим
6=4(y+z)/x,
6x=4(y+z),
или
3x=2y+2z. (4)
Вычитая из уравнения (4) уравнение (1), получим
x=z.
Тогда искомая степень диссоциации газа составляет
[$945$]=(1/2)z/x=(1/2)x/x=1/2.
Ответ: 1/2.
Литература
1. Аксенович Л. А., Ракина Н. Н., Фарино К. С. Физика в средней школе. -- Минск: Адукацыя i выхаванне, 2004. -- 720 с.
5
Об авторе:
Facta loquuntur.
Facta loquuntur.
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