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Relation between P, V, T, Gamma in Adiabatic Proceses

An ideal gas ...

Question

An ideal gas is allowed to expand a against a vecuum in a rigid insulated container. Choose the correct alternative (s)

A

Work done by the gas is zero

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B

Pressure of the gas is constant

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C

Change in internal energy of the gas is zero

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D

Temperature of the gas decreases.

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Solution

The correct option is A Work done by the gas is zero
We all know that work done by any gas $W = - P_{e x t} Δ V$ . Now when the gas is expanding against a vacuum in a rigid container, it is a free expansion. For free expansion of any gas wok done is zero(because the external pressure $P_{e x t}$ is zero). So the correct option is A.

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