A student might use ΔS = mc ln(T2/T1) but forget to convert Celsius to Kelvin (0°C = 273K, 100°C = 373K). They might also assume the process is reversible for water (it is irreversible).
A verified solution manual acts as your silent tutor. It shows you the correct integration limits, the proper application of the Carnot efficiency, and the subtlety of partial derivatives. However, it cannot replace the struggle of sitting with a pencil, a cup of coffee, and Zemansky’s dense prose. solution manual heat and thermodynamics zemansky verified
Open the manual. Read only the first line of the solution. Does it suggest using the ideal gas law? Or the Maxwell relation (∂S/∂V)_T = (∂P/∂T)_V ? Close the book and try again. A student might use ΔS = mc ln(T2/T1)