A closed container is fully insulated from outside. One half of it is filled with an ideal gas \...

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A closed container is fully insulated from outside. One half of it is filled with an ideal gas \( X \) separated by a plate \( P \) from the other half \( Y \) which contains a vacuum as shown in figure. When \( P \) is removed, \( X \)
\( P \) moves into Y. Which of the following statements is correct?
(1) No work is done by \( x \)
(2) \( X \) decreases in temperature
(3) \( X \) increases in internal energy
(4) \( x \) doubles in pressure
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