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Консультация № 201761
23.11.2021, 15:50
0.00 руб.
25.11.2021, 22:21
0
7
1
Здравствуйте! Прошу помощи в следующем вопросе:
В баллоне вместимостью 71 л при температуре 7°С под давлением 25 атм. хранится ксенон.
Найти чему равна среднеквадратичная скорость движения молекул ксенона в баллоне?
Спасибо.
В баллоне вместимостью 71 л при температуре 7°С под давлением 25 атм. хранится ксенон.
Найти чему равна среднеквадратичная скорость движения молекул ксенона в баллоне?
Спасибо.
Обсуждение
23.11.2021, 19:05
общий
Адресаты:
Обратите внимание на мои замечания в тексте вашей консультации.
Об авторе:
С уважением
shvetski
С уважением
shvetski
23.11.2021, 19:12
общий
В баллоне вместимостью 71 л при температуре 7°С под
давлением 25 ата хранится ксенон. Найти чему равна среднеквадратичная скорость движения
молекул ксенона в баллон?
давлением 25 ата хранится ксенон. Найти чему равна среднеквадратичная скорость движения
молекул ксенона в баллон?
23.11.2021, 21:16
общий
Адресаты:
Я понимаю так, что ваш первоначальный текст нужно заменить тем, что вы написали в форуме, правильно?
Об авторе:
С уважением
shvetski
С уважением
shvetski
25.11.2021, 22:19
общий
26.11.2021, 20:00
это ответ
Здравствуйте
Дано:
(Xe)
V=71л=71*10-3м3
Т=7[$186$]С=280 К
p=25 атм. = 25*106Па
Найти: <v>
Решение:
Считаем ксенон идеальным газом.
1. Количество вещества
<nu>=m/M=N/NA ....... (1)
2. Уравнение Менделеева
p*V=(m/M)*NA*R*T .....(2)
Отсюда
m/M=pV/RT=N/NA ....... (3)
3. Концентрация молекул
n=N/V ..........................(4)
С учетом формулы (3)
n=pNA/RT ....................(5)
4. Основное уравнение МКТ идеального газа
p=(1/3)*m0*n*<v2> .... (6)
5. Mасса молекулы
m0=M/NA ....................(7)
5. Подставим полученное значение n из формулы (5) и (7) в выражение (6), получим
p=(1/3)*M*(p/RT)*<v2> ... (8)
Здесь
M=131,3*10-3кг/моль - молярная масса ксенона;
R=8,31 Дж/(моль*К) - универсальная газовая постоянная;
<v2> - средний квадрат скорости поступательного движения молекул.
6. Выразим из выражения (8) средний квадрат скорости
<v2>=3RT/M ............. (9)
Проверим размерность:
<v2>=Дж/(моль*К)*K/(кг/моль)=Дж/кг=Н*м/кг=кг*(м/с2)*м/кг = м2/с2 - проверка успешна.
Подставим значения величин и вычислим средний квадрат скорости молекул
<v2>=3*8,31*280/131,3*10-3=53163,7 м2/с2
7. Окончательно:
Средняя квадратичная скорость
<v>=[$8730$]<v2>.............. (10)
<v>=[$8730$]53163,7 = 230,6 м/с
*******
Удачи
Дано:
(Xe)
V=71л=71*10-3м3
Т=7[$186$]С=280 К
p=25 атм. = 25*106Па
Найти: <v>
Решение:
Считаем ксенон идеальным газом.
1. Количество вещества
<nu>=m/M=N/NA ....... (1)
2. Уравнение Менделеева
p*V=(m/M)*NA*R*T .....(2)
Отсюда
m/M=pV/RT=N/NA ....... (3)
3. Концентрация молекул
n=N/V ..........................(4)
С учетом формулы (3)
n=pNA/RT ....................(5)
4. Основное уравнение МКТ идеального газа
p=(1/3)*m0*n*<v2> .... (6)
5. Mасса молекулы
m0=M/NA ....................(7)
5. Подставим полученное значение n из формулы (5) и (7) в выражение (6), получим
p=(1/3)*M*(p/RT)*<v2> ... (8)
Здесь
M=131,3*10-3кг/моль - молярная масса ксенона;
R=8,31 Дж/(моль*К) - универсальная газовая постоянная;
<v2> - средний квадрат скорости поступательного движения молекул.
6. Выразим из выражения (8) средний квадрат скорости
<v2>=3RT/M ............. (9)
Проверим размерность:
<v2>=Дж/(моль*К)*K/(кг/моль)=Дж/кг=Н*м/кг=кг*(м/с2)*м/кг = м2/с2 - проверка успешна.
Подставим значения величин и вычислим средний квадрат скорости молекул
<v2>=3*8,31*280/131,3*10-3=53163,7 м2/с2
7. Окончательно:
Средняя квадратичная скорость
<v>=[$8730$]<v2>.............. (10)
<v>=[$8730$]53163,7 = 230,6 м/с
*******
Удачи
5
Об авторе:
С уважением
shvetski
С уважением
shvetski
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