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Консультация № 190329
22.12.2016, 00:50
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Здравствуйте! Прошу помощи в следующем вопросе:
Идеальный газ совершил процесс, в результате которого его давление возросло в n раз. Как и во сколько раз изменились средняя длина свободного пробега и число столкновений каждой молекулы в единицу времени, если процесс: 1) ізохоричний; 2) изотермический?
Идеальный газ совершил процесс, в результате которого его давление возросло в n раз. Как и во сколько раз изменились средняя длина свободного пробега и число столкновений каждой молекулы в единицу времени, если процесс: 1) ізохоричний; 2) изотермический?
Обсуждение
24.12.2016, 13:48
общий
это ответ
Здравствуйте, pedrosokol.1973!
Длина свободного пробега задаётся геометрическими факторами - она обратно пропорциональна площади сечения молекул и их количеству в единице объёма. А число столкновений - величина обратная времени, за которое молекулы проходят это расстояние
При постоянном объёме длина свободного пробега не изменится, но поскольку средняя скорость пропорциональна квадратному корню температуры, число столкновений в единицу времени возрастёт в [$8730$]n раз
При постоянной температуре объём уменьшится в n раз, и во столько же раз из-за увеличения концентрации уменьшится длина свободного пробега. Поскольку скорость молекул не изменится, число столкновений в единицу времени также возрастёт в n раз.
Длина свободного пробега задаётся геометрическими факторами - она обратно пропорциональна площади сечения молекул и их количеству в единице объёма. А число столкновений - величина обратная времени, за которое молекулы проходят это расстояние
При постоянном объёме длина свободного пробега не изменится, но поскольку средняя скорость пропорциональна квадратному корню температуры, число столкновений в единицу времени возрастёт в [$8730$]n раз
При постоянной температуре объём уменьшится в n раз, и во столько же раз из-за увеличения концентрации уменьшится длина свободного пробега. Поскольку скорость молекул не изменится, число столкновений в единицу времени также возрастёт в n раз.
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