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NCERT · Class 11 · Chemistry

Chapter 5: Thermodynamics

Practice each question, then open the answer or worked solution.

Textbook exercises

22 questions
Q21Written answer

Comment on the thermodynamic stability of NO(g), given

\[\frac{\text{1}}{\text{2}}\text{NO(g)+}\frac{\text{1}}{\text{2}}{{\text{O}}_{\text{2}}}\text{(g)}\to \text{N}{{\text{O}}_{\text{2}}}\text{(g):}{{\text{ }\!\!\Delta\!\!\text{ }}_{\text{r}}}{{\text{H}}^{\text{ }\!\!\theta\!\!\text{ }}}\text{=90kJmo}{{\text{l}}^{\text{-1}}}\] 

\[\text{N}{{\text{O}}_{\text{(g)}}}\text{+}\frac{\text{1}}{\text{2}}{{\text{O}}_{\text{2(g)}}}\to {{\text{O}}_{\text{2(g)}}}\text{:}{{\text{ }\!\!\Delta\!\!\text{ }}_{\text{r}}}{{\text{H}}^{\text{ }\!\!\theta\!\!\text{ }}}\text{=-74 }\!\!~\!\!\text{ kJ }\!\!~\!\!\text{ mo}{{\text{l}}^{\text{-1}}}\] 

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Worked solution

Ans: The positive value of ${{\Delta }_{r}}H$ indicates that heat is absorbed during the formation of NO(g). This means that NO(g) has higher energy than the reactants (${{N}_{2}}$  and${{O}_{2}}$). Hence, NO(g) is unstable. The negative value of ${{\Delta }_{r}}H$indicates that heat is evolved during the formation of $N{{O}_{2}}(g)$ from NO(g) and ${{O}_{2}}$(g). The product, $N{{O}_{2}}(g)$is stabilized with minimum energy. 

Hence, unstable NO(g) changes to unstable $N{{O}_{2}}(g)$. 


Q22Written answer

Calculate the entropy change in surroundings when 1.00 mol of ${{\text{H}}_{\text{2}}}\text{O(l)}$ is formed under standard conditions. ${{\text{ }\!\!\Delta\!\!\text{ }}_{\text{f}}}{{\text{H}}^{\text{ }\!\!\theta\!\!\text{ }}}$ = -286 $\text{kJ mo}{{\text{l}}^{\text{-1}}}$ . 

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Worked solution

Ans: It is given that 286 $kJ\text{ }mo{{l}^{-1}}$ of heat is evolved on the formation of 1 mol of ${{H}_{2}}O(l)$. Thus, an equal amount of heat will be absorbed by the surroundings.

\[{{q}_{surr}} = +286 kJ kJ\text{ }mo{{l}^{-1}}\]

Entropy change $\left( \Delta {{S}_{surr}} \right)$ for the surroundings \[=\frac{{{q}_{surr}}}{7}\] 

\[=\frac{286kJ\,mo{{l}^{-1}}}{298K}\] 

Therefore, $\left( \Delta {{S}_{surr}} \right)$= $959.73\,J\,mo{{l}^{-1}}{{K}^{-1}}$.