State and prove clausius theorem.

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written 9.4 years ago by

teamques10 ★ 70k

modified 3.4 years ago by

sagarkolekar ★ 11k

thermodynamics

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written 9.4 years ago by

teamques10 ★ 70k

Statement:

The cyclic integral of dQ/T for a reversible cycle is zero.

Proof:

Assume an irreversible and a reversible engine. The efficiency of a reversible engine is always greater than that of an irreversible engine.

$ηi ≤ ηr$

$1-dQ_2/dQ_1 ≤ 1- T2/T1$

$dQ_2/T2 ≤ dQ_1 /T1$

$dQ_2/T2 - dQ_1 /T1 …

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