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Консультация № 65493
04.12.2006, 13:58
0.00 руб.
0
2
1
Здравствуйте Уважаемые эксперты! Не сходится задачка: В сосуд, содержащий 2,8 кг воды при Т=293К бросают кусок стали(с=460000кДж/кгК) массой 3 кг, нагретый до 733К. Вода нагревается до 333К, а часть ее обращается в пар(r=2300000 Д/кг).Найти массу воды обратившейся в пар. Мое решение: r*Mx+Cc*Mc*(Tk-Tc)+Cв*(Mв-Mx)*(Tk-T)=0
где Mx-масса которую надо найти, Cc-уд.теплоемкость стали, Mc- масса стали,Tk-конечная температура системы,Tc- начальная температура стали, T- температура воды начальная,Cв-теплоемкость воды,Mв-масса воды начальная ... Mx=35г - правильный ответ(но не мой)
где Mx-масса которую надо найти, Cc-уд.теплоемкость стали, Mc- масса стали,Tk-конечная температура системы,Tc- начальная температура стали, T- температура воды начальная,Cв-теплоемкость воды,Mв-масса воды начальная ... Mx=35г - правильный ответ(но не мой)
Обсуждение
04.12.2006, 21:47
общий
это ответ
Здравствуйте, Алексей Тимофеев!
Уравнение у Вас неправильное. И неправильная теплоемкость стали, она равна в действительности 460 Дж/кг/К (видимо, Вы по ошибке вместо мДж написали кДж).
Пишем уравнение теплового баланса по условно выделенным пяти процессам, переводящим систему от начального к конечному состоянию:
1. Нагрев всей воды до конечной температуры (теплоемкость воды Св=4.18*10^3Дж/кг/К)
2. Нагрев испарившейся части воды от конечной температуры до температуры кипения 373.15К
3. Испарение части воды при температуре кипения
4. Охлаждение пара от температуры кипения до конечной температуры без конденсации (теплоемкость пара Сп=1.8*10^3Дж/кг/К).
Про этот процесс часто забывают, а, между тем, в данной задаче, как будет видно из последней формулы, его вклад в тепловой баланс всего вдвое меньше, чем вклад нагрева части воды перед испарением до точки кипения).
5. Охлаждение стали до конечной температуры
Мв*Св*(Тк-Т)+Мх*Св*(373.15К-Тк)+Мх*r+Мх*Сп*(Тк-373.15К)+Мс*Сс*(Тк-Тc)=0
<b>Мх=[Мв*Св*(Т-Тк)+Мс*Сс*(Тс-Тк)]/[Св*(373.15К-Тк)+r+Сп*(Тк-373.15К)]</b>
Мх=[2.8кг*4.18*10^3Дж/кг/К*(293К-333К)+3кг*460Дж/кг/К*(733К-333К)]/[4.18*10^3Дж/кг/К*(373.15К-333К)+2.3*10^6Дж/кг+1.8*10^3Дж/кг/К*(373.15К-333)]]=[2.8*4.18*10^3*(293-333)+3*460*(733-333)]/[4.18*10^3*(373.15-333)+2.3*10^6+1.8*10^3*(333-373.15)]кг=[-4.6816*10^5+5.52*10^5]/[1.6783*10^5+2.3*10^6-7.227*10^4]кг=8.384*10^4/2.3956*10^6кг=0.035 кг
Ответ: 35 г
Удачи Вам!
Уравнение у Вас неправильное. И неправильная теплоемкость стали, она равна в действительности 460 Дж/кг/К (видимо, Вы по ошибке вместо мДж написали кДж).
Пишем уравнение теплового баланса по условно выделенным пяти процессам, переводящим систему от начального к конечному состоянию:
1. Нагрев всей воды до конечной температуры (теплоемкость воды Св=4.18*10^3Дж/кг/К)
2. Нагрев испарившейся части воды от конечной температуры до температуры кипения 373.15К
3. Испарение части воды при температуре кипения
4. Охлаждение пара от температуры кипения до конечной температуры без конденсации (теплоемкость пара Сп=1.8*10^3Дж/кг/К).
Про этот процесс часто забывают, а, между тем, в данной задаче, как будет видно из последней формулы, его вклад в тепловой баланс всего вдвое меньше, чем вклад нагрева части воды перед испарением до точки кипения).
5. Охлаждение стали до конечной температуры
Мв*Св*(Тк-Т)+Мх*Св*(373.15К-Тк)+Мх*r+Мх*Сп*(Тк-373.15К)+Мс*Сс*(Тк-Тc)=0
<b>Мх=[Мв*Св*(Т-Тк)+Мс*Сс*(Тс-Тк)]/[Св*(373.15К-Тк)+r+Сп*(Тк-373.15К)]</b>
Мх=[2.8кг*4.18*10^3Дж/кг/К*(293К-333К)+3кг*460Дж/кг/К*(733К-333К)]/[4.18*10^3Дж/кг/К*(373.15К-333К)+2.3*10^6Дж/кг+1.8*10^3Дж/кг/К*(373.15К-333)]]=[2.8*4.18*10^3*(293-333)+3*460*(733-333)]/[4.18*10^3*(373.15-333)+2.3*10^6+1.8*10^3*(333-373.15)]кг=[-4.6816*10^5+5.52*10^5]/[1.6783*10^5+2.3*10^6-7.227*10^4]кг=8.384*10^4/2.3956*10^6кг=0.035 кг
Ответ: 35 г
Удачи Вам!
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