Thermodynamics and Thermochemistry 1 Question 52

55. Match the transformations in Column I with appropriate options in Column II.

(2011)

Column I Column II
A. $\quad \mathrm{CO}{2}(s) \longrightarrow \mathrm{CO}{2}(g)$ p. Phase transition
B. $\quad \mathrm{CaCO}{3}(s) \longrightarrow \mathrm{CaO}(s)+\mathrm{CO}{2}(g)$ q. Allotropic change
C. $\quad 2 \mathrm{H} \bullet \longrightarrow \mathrm{H}_{2}(g)$ r. $\Delta H$ is positive
D. $\quad \mathrm{P}{\text {(white, solid) }} \rightarrow \mathrm{P}{\text {(red, solid) }}$ s. $\Delta S$ is positive
t. $\Delta S$ is negative

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Solution:

  1. (A) $\mathrm{CO}{2}(s) \longrightarrow \mathrm{CO}{2}(g)$

It is just a phase transition (sublimation) as no chemical change has occurred. Sublimation is always endothermic. Product is gas, more disordered, hence $\Delta S$ is positive.

(B) $\mathrm{CaCO}{3}(s) \longrightarrow \mathrm{CaO}(s)+\mathrm{CO}{2}(g)$

It is a chemical decomposition, not a phase change. Thermal decomposition occur at the expense of energy, hence endothermic. Product contain a gaseous species, hence, $\Delta S>0$.

(C) $2 \mathrm{H} \longrightarrow \mathrm{H}_{2}(\mathrm{~g})$

A new $\mathrm{H}-\mathrm{H}$ covalent bond is being formed, hence, $\Delta H<0$. Also, product is less disordered than reactant, $\Delta S<0$.

(D) Allotropes are considered as different phase, hence $\mathrm{P}{\text {(white, solid) }} \longrightarrow \mathrm{P}{\text {(red, solid) }}$ is a phase transition as well as allotropic change.

Also, red phosphorus is more ordered than white phosphorus, $\Delta S<0$.