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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