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Консультация № 176050
15.01.2010, 00:01
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Смесь воды и её насыщенного пара занимает некоторый объём при температуре 90 С. Если смесь нагреть медленно и изохорически, то вся вода испаряется к моменту, когда температура достигает 100 С. Чему равно давление насыщенного водяного пара при температуре 90 С, если в начальном состоянии масса воды составляла 29% от массы всей смеси? Объёмом воды по сравнению с объёмом смеси пренебречь.
Обсуждение
20.01.2010, 01:24
общий
это ответ
Здравствуйте, STASSY.
То, что при достижении температуры 100 [$186$]С испаряётся вся вода, означает, что при этой температуре пар является насыщенным. Но при 100 [$186$]С давление насыщенного пара равно 1 атм.
Выражаем через уравнение Менделеева-Клайперона
p0=Rm0T0/(MV)=1 атм.
При этом T0=100 [$186$]С=373 К
В начальном состоянии T=90 [$186$]С=363 К
Так как масса жидкой воды составляет 29% от массы смеси, масса пара равна m=0,71m0
пренебрегая объёмом воды, объём пара в обоих случаях считаем равным
p=RmT/(MV)=R*0,71m0*(363/373)T0/(MV)=0,69*Rm0T0/(MV)=0,69p0=0,69 атм.
То, что при достижении температуры 100 [$186$]С испаряётся вся вода, означает, что при этой температуре пар является насыщенным. Но при 100 [$186$]С давление насыщенного пара равно 1 атм.
Выражаем через уравнение Менделеева-Клайперона
p0=Rm0T0/(MV)=1 атм.
При этом T0=100 [$186$]С=373 К
В начальном состоянии T=90 [$186$]С=363 К
Так как масса жидкой воды составляет 29% от массы смеси, масса пара равна m=0,71m0
пренебрегая объёмом воды, объём пара в обоих случаях считаем равным
p=RmT/(MV)=R*0,71m0*(363/373)T0/(MV)=0,69*Rm0T0/(MV)=0,69p0=0,69 атм.
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