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When two equal sizedpieces of thesame mental at different temperature T_(h) (hot piece) and T_(c)(cold piece ) are brought intothremal constant and isolated from it's surrounding. The totalcharge in entropy of system is given by

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SOLUTION :`C_(v) (T_(h)- T) =C_(v)(T -T_(v)) rArr""T=(T_(c) + T_(h))/(2) "",""because DeltaS=underset(T_(1))overset(T_(2))int (C_(v).dt)/(T)``DeltaS_(c) = C_(v) LN .(T)/(T_(c)) &DeltaS_(h) = C_(v) ln. (T)/(T_(h))`
Total `DeltaS = C_(v)ln.((T_(c) + T_(h))/(2T_(c))) + C_(v)ln .((T_(c) + T_(h))/(2T_(h)))= C_(v)ln.((T_(c) + T_(h))^(2))/(4T_(c).T_(h))`


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