Step 1: Analyze each statement. Statement I: True.
Work depends on the path taken and not just the initial and final states, so it is a path function.
Statement II: True.
Enthalpy is proportional to the amount of substance, hence it is an extensive property.
Statement III: True.
Lattice enthalpy can be determined using the Born–Haber cycle by applying Hess's law.
Conclusion: All three statements are correct.
Which of the following best represents the temperature versus heat supplied graph for water, in the range of \(-20^\circ\text{C}\) to \(120^\circ\text{C}\)? 
In the following \(p\text{–}V\) diagram, the equation of state along the curved path is given by \[ (V-2)^2 = 4ap, \] where \(a\) is a constant. The total work done in the closed path is: 