Prove that process is irreversible, Chemistry

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The second law states that where dS ≥ dQ/T for a reversible process and dS = dQ/T for an irreversible process.

a. Show that since dW₁₂ = -dW₂₁ (dW_reverse = -dW_forward) for a reversible process, then dQ₁₂ = TdS₁₂

b. An egg, initially at rest, is dropped onto the floor. Prove that this process is irreversible. You can assume that the egg returns to its initial temperature after it breaks.

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