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

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11.Thermodynamics

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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 Pfrom the other half $Y$ which contains a vacuum as shown in figure. When $P$ is removed, $X$ moves into $Y$. Which of the following statements is correct?

A

No work is done by $ X$

B

$X$ decreases in temperature

C

$X$ increases in internal energy

D

$X$ doubles in pressure

Solution

Work done by a gas is given by$:$

$w=\int P d V$

Work done by $x$ is against vacuum, hence $P=0$

$w=\int P d V=\int 0 d V=0$

Hence no work is done by or done on $x$.

Standard 11

Physics

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