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Задать вопрос экспертам

Консультация № 199156

10.09.2020, 07:13

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Образование

Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос:

Во сколько раз постоянная Холла для серебра больше постоянной
Холла для меди?p(меди)=8.6*10^3 кг/м^3,p(серебра)=10,5*10^3 кг/м^3,атомные массы 635 кг/кмоль и 108 кг/кмоль соответственно

Обсуждение

давно

Посетитель
226425
1567

10.09.2020, 22:21

общий

это ответ

Здравствуйте, milovanovavera2000@gmail.com!
Дано:
1. Серебро
p₁=10,5*10^3 кг/м^3
М₁=108 кг/кмоль
2. Медь
p₂=8.6*10^3 кг/м^3
М₂=63,5 кг/кмоль
Найти:
R₁/R₂....... (*)
Решение:
Постоянная Холла
R=1/en..................... (1)
где
е-заряд электрона;
n-концентрация электронов проводимости в проводнике.
И серебро, и медь - элементы первой группы - имеют по одному свободному электрону на внешнем уровне. Будем считать, что концентрация электронов проводимости равна концентрации атомов вещества.
По определению
n=N/V=N_A/V_[$956$]=N_A*[$961$]/M ....... (2)
здесь N_A - число Авогадро, V_[$956$] - молярный объем.
Подставим выражение (2) в (1)
Имеем
R=M/(eN_A[$961$]) ............. (3)
Окончательно
найдем искомое отношение (*) (см.условие)
R₁/R₂=(М₁/М₂)*([$961$]₂/[$961$]₁)=(108/63,5)*(8,6/10,5)=(~1,4)
Ответ: ~1,4
Удачи

Об авторе:
С уважением
shvetski

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