Question

Derive expression for workdone in isothermal irreversible process

Answer 1

Answer:

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Explanation:

in irreversible isothermal expansion, formula for work done is W=P(external)x change in volume. ...

For an irreversible expansion process, a crude approximation to the force exerted by the gas on the piston (where the work is done) can be provided by the equation FA=Pext=nRTV−kVdVdt.

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Answer 2

The expression of work done in isothermal irreversible process will be -PΔV

Where P is the pressure and ΔV is the change in volume.

In isothermal process, as the temperature remains constant, the internal energy exchange between medium and surroundings is 0

In irreversible process, we can not get back to the exact previous conditions from where we started the experiment.

It can be of two types:

1. Irreversible isothermal expansion
2. Irreversible isothermal contraction

In case of expansion,

Suppose, a gas is expanded from P, V₁ to P, V₂, where V₂ > V₁

So, the work done is , W = - P (V₂ - V₁)

This will be '-ve', as V₂ > V₁

In case of contraction,

Suppose, a gas is expanded from P, V₁ to P, V₂, where V₂ < V₁

So, the work done is , W = - P (V₂ - V₁)

                                or, W = + P(V₁ - V₂)

This will be '+ve', as V₂ < V₁