I & II only
II & III only
III & IV only
I & IV only
Step 1: Understand entropy (\(\Delta S\)) concept.
Entropy is a measure of disorder or randomness in a system. When a system becomes more ordered, entropy decreases (\(\Delta S<0\)).
Step 2: Analyze each process.
I) Sublimation of dry ice: Solid \(\rightarrow\) gas — disorder increases \(\Rightarrow \Delta S>0\)
II) Freezing of water: Liquid \(\rightarrow\) solid — particles become more ordered \(\Rightarrow \Delta S<0\)
III) Crystallisation of dissolved substance: Ions/molecules settle into a lattice \(\Rightarrow \Delta S<0\)
IV) Burning of rocket fuel: Produces gases and heat \(\Rightarrow \Delta S>0\)
Conclusion: Only II and III lead to a decrease in entropy.
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: 