For the reaction, N₂O₄ leftharpoons 2NO₂$N_{2}O_{4} \rightleftharpoons 2NO_{2}$, graph is plotted as shown below. Identify correct statements.
A. Standard free energy change for the reaction is -5.40 kJ mol⁻¹$-5.40\text{ kJ mol}^{-1}$.
B. As Δ G$\Delta G^{\ominus}$ in graph is positive, N₂O₄$N_{2}O_{4}$ will not dissociate into NO₂$NO_{2}$ at all.
C. Reverse reaction will go to completion.
D. When 1 mole of N₂O₄$N_{2}O_{4}$ changes into equilibrium mixture, value of Δ G = -0.84 kJ mol⁻¹$\Delta G = -0.84\text{ kJ mol}^{-1}$.
E. When 2 mole of NO₂$NO_{2}$ changes into equilibrium mixture, Δ G$\Delta G$ for equilibrium mixture is -6.24 kJ mol⁻¹$-6.24\text{ kJ mol}^{-1}$.
A plot of Gibbs free energy against the fraction of N2O4 dissociated.
Choose the correct answer from the options given below :
A.D and E only$\text{D and E only}$
B.C and E only$\text{C and E only}$
C.A and D only$\text{A and D only}$
D.B and C only$\text{B and C only}$
Solution & Explanation
Core Logic
Let's analyze the statements based on the given Gibbs free energy (G) vs. extent of reaction plot.
A plot of Gibbs free energy against the fraction of N2O4 dissociated.
A. Standard free energy change (Δᵣ G°$\Delta_r G^{\circ}$) is the difference between standard free energies of pure products (point B) and pure reactants (point A): Δᵣ G° = GB° - GA°$\Delta_r G^{\circ} = G_B^{\circ} - G_A^{\circ}$. Since B is higher than A, Δᵣ G°$\Delta_r G^{\circ}$ is positive, not -5.40 kJ mol⁻¹$-5.40\text{ kJ mol}^{-1}$. Statement A is false.
B. Even if Δᵣ G°$\Delta_r G^{\circ}$ is positive, the minimum of the curve (equilibrium state E) lies between the pure reactant and product states. Therefore, partial dissociation occurs to reach equilibrium. It is false to say it will not dissociate at all. Statement B is false.
C. The minimum E is not at fraction = 0 or 1, meaning an equilibrium mixture exists. Reverse reaction does not go to completion. Statement C is false.
D. From 1 mole of pure reactant (point A) to the equilibrium mixture (point E), the drop in Gibbs energy is 0.84 kJ mol⁻¹$0.84\text{ kJ mol}^{-1}$. Thus Δ G = -0.84 kJ mol⁻¹$\Delta G = -0.84\text{ kJ mol}^{-1}$ is correct. Statement D is true.
E. The difference from pure products (point B, equivalent to 2 moles NO₂$NO_2$) to equilibrium (E) is the entire vertical distance. The drop from B to A is 5.40$5.40$, and A to E is 0.84$0.84$. So drop from B to E is - (5.40 + 0.84) = -6.24 kJ mol⁻¹$- (5.40 + 0.84) = -6.24\text{ kJ mol}^{-1}$. Statement E is true.
Step 1: Final Conclusion
Only statements D and E are correct.
Pattern Recognition
The free energy of mixing creates a minimum 'dip' (Equilibrium) below both pure reactants and pure products, preventing either forward or reverse reactions from going absolutely to 100% completion.
Chapter Mix
Class 11 Chemistry: Thermodynamics
Class 11 Chemistry: Equilibrium
Keywords:#Gibbs free energy change#N2O4 dissociation#JEE Main 2026 Morning Q69#Thermodynamics JEE Main 2026#Gibbs free energy graph#Equilibrium
More Thermodynamics Previous-Year Questions — Page 5
Q34jee_main_2025_28_jan_morningPhase Equilibrium and Le Chatelier's Principle
Ice and water are placed in a closed container at a pressure of 1 atm and temperature 273.15K$273.15\mathrm{K}$ . If pressure of the system is increased 2 times, keeping temperature constant, then identify correct observation from following:
A.Volume of system increases.$\text{Volume of system increases.}$
Water has a unique property where the density of the liquid phase is greater than the density of the solid phase (ice). Consequently, the molar volume of ice is larger than that of liquid water:
According to Le Chatelier's Principle, increasing the pressure favors the phase that occupies a smaller volume to alleviate the applied stress. Thus, shifting the system forward converts ice into liquid water:
Phase shift diagram for Q34 - JEE Main 2025 Morning
If the pressure is increased considerably (such as doubling it to 2 atm) at 273.15K$273.15\mathrm{K}$, the melting point decreases, causing the entire solid phase (ice) to disappear completely.
Pattern Recognition
Sees: Ice-water system under pressure change.
Trap: Assuming that an increase in pressure always favors the solid phase. Water has an anomalous phase curve with a negative slope.
The formation enthalpies, Δ Hf$\Delta \mathrm{H}_{\mathrm{f}}^{\ominus}$ for H(g)$\mathrm{H}_{(\mathrm{g})}$ and O(g)$\mathrm{O}_{(\mathrm{g})}$ are 220.0 and 250.0~kJ~mol⁻¹$250.0~\mathrm{kJ~mol}^{-1}$ , respectively, at 298.15K$298.15\mathrm{K}$ , and Δ Hf⁻$\Delta \mathrm{H}_{\mathrm{f}}^{-}$ for H₂O(g)$\mathrm{H}_2\mathrm{O}_{(\mathrm{g})}$ is -242.0kJ mol⁻¹$-242.0\mathrm{kJ\,mol}^{-1}$ at the same temperature. The average bond enthalpy of the O-H bond in water at 298.15K$298.15\mathrm{K}$ is ___________________________________________________ (nearest integer).$\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ (nearest integer).$
Numerical Answer.Answer: 466 to 466
Solution
Related Formula
Reaction enthalpy based on atomization processes:
Δᵣ H = Σ Δf H(products) - Σ Δf H(reactants)$$\Delta_r H = \sum \Delta_f H(\text{products}) - \sum \Delta_f H(\text{reactants})$$
Step 1: Map the Dissociation Reaction
Consider the dissociation of gas phase water molecules into constituent gaseous atoms:
Sees: Atomization state values used to evaluate single bond metrics.
Shortcut: Remember Total Dissociation Energy = Σ Δf H(atoms) - Δf H(molecule)$\text{Total Dissociation Energy} = \sum \Delta_f H(\text{atoms}) - \Delta_f H(\text{molecule})$. Halving the result gives the average bond enthalpy.
Chapter Mix
Class 11 Chemistry: Chemical Thermodynamics
Q35jee_main_2025_03_april_morningIntensive and Extensive Properties
Which of the following properties will change when system containing solution 1 will become solution 2? Diagram showing solution 1 (10 mol solute in 10 L water) and solution 2 (1 mol solute in 1 L water).
A. Molar heat capacity
B. Density
C. Concentration
D. Gibbs free energy
Solution
Related Formula
G = H - TS$G = H - TS$
Extensive properties depend on mass/amount of matter; Intensive properties are independent of amount.
Core Logic
Both solution 1 (10 mol/10 L = 1 M$10\text{ mol}/10\text{ L} = 1\text{ M}$) and solution 2 (1 mol/1 L = 1 M$1\text{ mol}/1\text{ L} = 1\text{ M}$) have identical concentrations and chemical compositions.
Intensive properties (molar heat capacity, density, concentration) depend only on composition and temperature, so they remain unchanged.
Gibbs free energy (G$G$) is an extensive property, proportional to the total amount of substance present, so it changes.
Step 1: Final Conclusion
Gibbs free energy changes because it is an extensive property.
Pattern Recognition
Same concentration/composition arrow$\rightarrow$ Intensive properties stay equal.
Total amount changes arrow$\rightarrow$ Extensive properties (G, H, U, S$G, H, U, S$) change.
Chapter Mix
Class 11 Chemistry: Thermodynamics
Q49jee_main_2025_03_april_morningEnthalpy of Formation and Bond Enthalpies
Given:
Δ Hsub [C(graphite)] = 710 ~kJ~mol⁻¹$$\Delta H_{\mathrm{sub}}^{\ominus} [\mathrm{C(graphite)}] = 710\mathrm{~kJ~mol^{-1}}$$ΔC-H H = 414 ~kJ~mol⁻¹$$\Delta_{\mathrm{C-H}} H^{\ominus} = 414\mathrm{~kJ~mol^{-1}}$$ΔH-H H = 436 ~kJ~mol⁻¹$$\Delta_{\mathrm{H-H}} H^{\ominus} = 436\mathrm{~kJ~mol^{-1}}$$ΔC=C H = 611 ~kJ~mol⁻¹$$\Delta_{\mathrm{C=C}} H^{\ominus} = 611\mathrm{~kJ~mol^{-1}}$$
The Δ Hf$\Delta H_{\mathrm{f}}^{\ominus}$ for CH₂ = CH₂$\mathrm{CH_2 = CH_2}$ is ________ kJ~mol⁻¹$\mathrm{kJ~mol^{-1}}$ (nearest integer value)
Standard Enthalpy of Formation = Atomization Enthalpies of Reactants -$-$ Bond Enthalpies of Products formed.
Chapter Mix
Class 11 Chemistry: Thermodynamics
Q37jee_main_2025_04_april_eveningThermochemistry
Consider the given data :
(a) HCl(g) + 10H₂O(l)arrow HCl.10H₂O Δ H = - 6 9. 0 1 k J m o l ^ - 1$\mathrm{HCl(g)} + 10\mathrm{H}_2\mathrm{O(l)}\rightarrow \mathrm{HCl.10H_2O} \quad \Delta \mathrm {H} = - 6 9. 0 1 \mathrm {k J} \mathrm {m o l} ^ {- 1}$
(b) HCl(g) + 40H₂O(l)arrow HCl.40H₂O Δ H = - 7 2. 7 9 k J m o l ^ - 1$\mathrm{HCl(g)} + 40\mathrm{H}_2\mathrm{O(l)}\rightarrow \mathrm{HCl.40H_2O} \quad \Delta \mathrm {H} = - 7 2. 7 9 \mathrm {k J} \mathrm {m o l} ^ {- 1}$
Choose the correct statement :
A. Dissolution of gas in water is an endothermic process
B. The heat of solution depends on the amount of solvent.
C. The heat of dilution for the HCl (HCl.10H₂O$(\mathrm{HCl}.10\mathrm{H}_2\mathrm{O}$ to HCl.40H₂O)$\mathrm{HCl}.40\mathrm{H}_2\mathrm{O})$ is 3.78kJ mol⁻¹$3.78\mathrm{kJ mol}^{-1}$.
D. The heat of formation of HCl solution is represented by both (a) and (b)
Δ H$\Delta H$ values are negative, so the dissolution of HCl(g)$HCl(g)$ is clearly exothermic, eliminating option (1).
Since the enthalpy release changes when the moles of water solvent shift from 10 to 40 (-69.01$-69.01$ vs -72.79$-72.79$), the heat of solution depends explicitly on the amount of solvent (Statement 2 is true).
Let's check Statement 3: By subtracting equation (a) from (b):
The value is negative, indicating an exothermic process, so calling it +3.78$+3.78$ makes option (3) incorrect.
Pattern Recognition
The standard integral enthalpy of solution varies with solvent concentration until infinite dilution is achieved. Thus, concentration dependence is a core property of partial molar solution variables.
Chapter Mix
Class 11 Chemistry: Chemical Thermodynamics
More Thermodynamics Questions — jee_main_2026_21_jan_morning
Practice past-year questions one chapter at a time. Pick an exam → subject → chapter and get every PYQ for that topic — pulled together from all past papers — with the chapter's key formulas alongside.