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Консультация № 131406
09.04.2008, 20:14
0.00 руб.
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1
помогите решить задачу
какая минимальная энергия необходима для расщепления ядра атома кислорода на протоны и нейтроны?
заранее пасибо.
какая минимальная энергия необходима для расщепления ядра атома кислорода на протоны и нейтроны?
заранее пасибо.
Обсуждение
Неизвестный
12.04.2008, 17:50
общий
это ответ
Здравствуйте, Александр КУ!
Энергия, необходимая для расщепления ядра на нейтроны и протоны равна энергии связи нейтронов и протонов в ядре, которая ищется по формуле:
E=c<sup>2</sup>*((A-Z)*m<sub>n</sub>+Z*m<sub>p</sub>- m<sub>я</sub>)
где с=3*10<sup>8</sup> м/с - скорость света
А - массовое число, которое обычно берется из таблицы Менделеева и для кислорода равно 16; m<sub>я</sub> - масса ядра, для кислорода m<sub>я</sub>=15,9994 а.е.м (см. таблицу Менделеева), где 1 а.е.м=1,66*10<sup>-27</sup> кг
Z - зарядовое число, для кислорода равное восьми (порядковый номер элемента в таблице Менделеева)
Справочные данные по массам протона и нейтрона:
m<sub>p</sub>=1,6726485*10<sup>-27</sup> кг - масса протона
m<sub>n</sub>=1,67495430*10<sup>-27</sup> кг - масса нейтрона
Подставляем всё в формулу:
E=(3*10<sup>8</sup>)<sup>2</sup>*(8*1,67495430*10<sup>-27</sup>+8*1,6726485*10<sup>-27</sup>-15,9994*1,66*10<sup>-27</sup>)=1,996*10<sup>-11</sup> Дж
Энергия, необходимая для расщепления ядра на нейтроны и протоны равна энергии связи нейтронов и протонов в ядре, которая ищется по формуле:
E=c<sup>2</sup>*((A-Z)*m<sub>n</sub>+Z*m<sub>p</sub>- m<sub>я</sub>)
где с=3*10<sup>8</sup> м/с - скорость света
А - массовое число, которое обычно берется из таблицы Менделеева и для кислорода равно 16; m<sub>я</sub> - масса ядра, для кислорода m<sub>я</sub>=15,9994 а.е.м (см. таблицу Менделеева), где 1 а.е.м=1,66*10<sup>-27</sup> кг
Z - зарядовое число, для кислорода равное восьми (порядковый номер элемента в таблице Менделеева)
Справочные данные по массам протона и нейтрона:
m<sub>p</sub>=1,6726485*10<sup>-27</sup> кг - масса протона
m<sub>n</sub>=1,67495430*10<sup>-27</sup> кг - масса нейтрона
Подставляем всё в формулу:
E=(3*10<sup>8</sup>)<sup>2</sup>*(8*1,67495430*10<sup>-27</sup>+8*1,6726485*10<sup>-27</sup>-15,9994*1,66*10<sup>-27</sup>)=1,996*10<sup>-11</sup> Дж
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