Heat transfer truths and one false statement: identify the incorrect claim Four statements about heat transfer and temperature differences are given. Select the statement that is wrong.

Concept check
(A) True in general: convection dominates bulk heat transfer in fluids (though conduction at the boundary initiates it).(B) True: heat flow depends on thermal conductivity k (a material property) and geometry.(D) True: LMTD ≠ arithmetic mean; LMTD accounts for the varying temperature difference along the exchanger.

Why (C) is wrong
For most solid metals, lattice/electron scattering increases with temperature, so thermal conductivity decreases as temperature rises (over wide ranges of practical interest).

Final Answer
“For solid metals, thermal conductivity increases with temperature” is the incorrect statement.