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Задать вопрос экспертам

Консультация № 200006

28.12.2020, 07:57

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Образование

Уважаемые эксперты! Пожалуйста, ответьте на вопрос:
Определить объемные массовые концентрации (в кг/м3) компонентов в идеальной газовой смеси, содержащей 1 моль водорода и 3 моль метана (СН4). Абсолютное давление смеси 5 атм., температура 20ºС.

Обсуждение

давно

Посетитель
226425
1567

29.12.2020, 00:34

общий

это ответ

Здравствуйте, Maria!
Дано:
1. (Н₂)
n₁=1 mol
M₁=2*10^-3kg/mol
2. (CH₄)
n₂=3 mol
M₂=4*10^-3kg/mol
p=506,5*10³ Pa
T=293 K
Найти: С₁, С₂
Решение:
1. Массовая концентрация (С) –отношение массы компонента, содержащегося в системе (растворе), к объему этой системы (V)
C=m/V (1)
2. Уравнение Менделеева для смеси газов
pV=(n1+n2)RT (2)
отсюда объем смеси
V=(n1+n2)RT/p (3)
- здесь R=8,31 J/mol*K - универсальная газовая постоянная.
V=19,2*10[sup]-3[/sup] m[sup]3[/sup] (*)
3. Из уравнения Менделеева для каждого компонента смеси
p₁V=(m₁/M₁)*RT (4)
соответствующее парциальное давление
p₁=n₁RT/V (5)
Тогда из (1) и (4) с учетом (5) получаем выражение для вычисления массовой концентрации компонента смеси
С₁=m₁/V=p₁M₁/RT=(n₁RT/V)*(M₁/RT)=n₁M₁/V (6)
Аналогично
С₂=n₂M₂/V
Подставляем данные из условия, а также найденный объем (*), получаем
C[sub]1[/sub]=0,104 kg/m[sup]3[/sup]
C[sub]2[/sub]=0,625 kg/m[sup]3[/sup]

5

Спасибо большое!!!

Об авторе:
С уважением
shvetski

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