Решение на момент правки #19154 от , автор JMMA2006. Это не текущая версия.

Statement

5.6.3. [Insert the problem statement]

Solution

Assuming we're working with ideal gases
For an ideal gas, the internal energy only depends on the temperature
, where n is the number of moles and C_v is the molar heat capacity at constant volume
Careful here, we could think that obviously if the temperature increases, the internal energy increases too, let's think this
We have
, because P and V are both constant
but this is only possible if n changed (air can escape), because if n is constant, the product nRT would vary with T, contradicting that PV is constant
So, from , we get

and substituting this into the expression for the final energy

, which is exactly the initial energy U_0
so
the internal energy did not change

Answer

[Insert a concise answer or boxed result]