Question

state and prove clausius theorem.

Answer 1

Answer:

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−dQ2/dQ1≤1−T2/T1

dQ2/T2≤dQ1/T1

dQ2/T2−dQ1/T1≤0

but Q1 and Q2 are in opposite directions

hence, dQ2/T2+dQ1/T1≤0

∫dQ/T≤0