A gas is to be expanded from initial state i to final state f along either path

Question

A gas is to be expanded from initial state i to final state f along either path 1 or path 2 on a p-V diagram. Path 1 consists of three steps: arn isothermal expansion (work is 38 J in magnitude), an adiabatic expansion (work is 16 J in magnitude), and another isothermal expansion (work is 27 J in magnitude). Path 2 consists of two steps: a pressure reduction at constant volume and an expansion at constant pressure. What is the change in the internal energy of the gas along path 2? Number: | Unit:

Explanation / Answer

Solution,

along path 2 that is adiabatic expansion

dQ = 0

the change in the internal energy of the gas along path 2,

dU = -dW = -16 J

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