# Separate ideal gas

Classical Mechanics Level 3

In the above left container, there is an monatomic ideal gas with number of molecules, pressure and internal energy, $$n, P$$ and $$U,$$ respectively. Now, as in the above right, we separate the container into two equal parts by a divider. Which of the following explanations is correct about the ideal gas $$A?$$

$$R$$ denotes the ideal gas constant.

a) The internal energy of $$A$$ is $$\displaystyle \frac{U}{2}.$$
b) The volume of $$A$$ is $$\displaystyle \frac{U}{3P}.$$
c) The absolute temperature of $$A$$ is $$\displaystyle \frac{U}{3nR}.$$

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