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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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When the piston is compressed so quickly that there is no time to exchange heat to the surrounding, the temperature of the gas increases rapidly. In this intermediate stage the ideal gas equation be not valid. Because this equation can be relates the pressure, volume and temperature of thermodynamic system at equilibrium.
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