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Задать вопрос экспертам

Консультация № 202716

05.05.2022, 15:07

0.00 руб.

0 1 1

Образование

Здравствуйте! Прошу помощи в решении следующей задачи:

Один моль идеального газа переходит из начального состояния 1 в конечное
состояние 3 в результате двух изопроцессов 1-2 (изобарный) и 2-3 (изотермический). Значения давления и
объема газа в состояниях 1 и 3 равны соответственно P1, V1 и P3, V3. Найти
давление, объем и температуру газа P2, V2, T2, в промежуточном состоянии 2.
Изобразить процессы в координатах P-V, P-T и V-T.

Дано:
Изобарный 1-2
Р1 = 10^5 Па
V1 = 30 л
Изотермический 2-3
P3 = 2*10^5 Па
V3 = 20 л
Найти: P2, V2, T2
Изобразить процессы в координатах P-V, P-T, V-T

Обсуждение

давно

Посетитель
226425
1567

09.05.2022, 00:24

общий

10.05.2022, 15:43

это ответ

Здравствуйте, vsmisle
Дано:
[$957$]=1 моль
p₁=p₂=10⁵Па
T₂=T₃
V₁=30*10^-3м³
p₃=2*10⁵Па
V₃=20*10^-3м³
Найти: p₂, V₂, T₂
Решение:
Уравнение Менделеева-Клапейрона:
pV=[$957$]RT (*)
Отсюда
T₁=p₁V₁/[$957$]R
R=8,31 Дж/моль*К - универсальная газовая постоянная.
[$8658$] T₁=361 K
Аналогично
T₃=p₃V₃/[$957$]R
[$8658$] T₃=T[sub]2[/sub]=481 K
Также, из уравнения (*)
V₂=[$957$]RT/p₂
[$8658$] V[sub]2[/sub]=40 л
p₂=p₁ по условию (процесс изобарный)
[$8658$] p[sub]2[/sub]=10[sup]5[/sup]Па

*******

5

Премного благодарна!

Об авторе:
С уважением
shvetski

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