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If the piston of a container is push...

If the piston of a container is pushed fast inward .Will the ideal gas equation be valid in the intermediate stage ? If not, Why ?

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Decrease in volume leading to increases in temperature work in done on the gas.
Ideal gas equation PV= RT . When pistion be pushed further the parameters V & R are taken ad constant.
`:. ` The equation becomes `P = kT . i.e, P oo T`
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