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Консультация № 200013
29.12.2020, 17:49
0.00 руб.
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Здравствуйте! Прошу помощи в следующем вопросе: В сосуде смешивают четыре порции воды: массой m, 2m, 3m и 4m, взятые при температурах 4t, 3t, 2t и t соответственно. Определите, во сколько раз установившаяся температура в сосуде больше, чем t. Ответ округлите до десятых.
Обсуждение
30.12.2020, 15:09
общий
это ответ
Здравствуйте, kuznetsova.79!
Дано:
m; 2m; 3m; 4m
4t; 3t; 2t; t
Найти: t'/t
Решение:
1. Положим, что в данной задаче речь идет о температурах в градусах Цельсия...
2. Исходя из уравнения теплового баланса
Q1+Q2+Q3+Q4=0 (1)
3. Распишем все количества теплоты, принимаемые (или отдаваемые) отдельными порциями воды, и подставим в выражение (1)
Q1=cm(t'-4t)
Q2=c*2m(t'-3t)
Q3=c*3m(t'-2t)
Q4=c*4m(t'-t)
- здесь с - удельная теплоемкость;
[$8658$]
cm(t'-4t)+c*2m(t'-3t)+c*3m(t'-2t)+c*4m(t'-t)=0
4. cm[$8800$]0
[$8658$]
(t'-4t)+2(t'-3t)+3(t'-2t)+4(t'-t)=0
Раскрываем скобки, приводим подобные
Получаем
10t'-20t=0
t'/t=2,0
Дано:
m; 2m; 3m; 4m
4t; 3t; 2t; t
Найти: t'/t
Решение:
1. Положим, что в данной задаче речь идет о температурах в градусах Цельсия...
2. Исходя из уравнения теплового баланса
Q1+Q2+Q3+Q4=0 (1)
3. Распишем все количества теплоты, принимаемые (или отдаваемые) отдельными порциями воды, и подставим в выражение (1)
Q1=cm(t'-4t)
Q2=c*2m(t'-3t)
Q3=c*3m(t'-2t)
Q4=c*4m(t'-t)
- здесь с - удельная теплоемкость;
[$8658$]
cm(t'-4t)+c*2m(t'-3t)+c*3m(t'-2t)+c*4m(t'-t)=0
4. cm[$8800$]0
[$8658$]
(t'-4t)+2(t'-3t)+3(t'-2t)+4(t'-t)=0
Раскрываем скобки, приводим подобные
Получаем
10t'-20t=0
t'/t=2,0
5
Об авторе:
С уважением
shvetski
С уважением
shvetski
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