Organic Chemistry - Some Basic Principles and Techniques appeared 101 times across 3 years — 11.8% of Chemistry.
This question is from Quantitative Analysis - Dumas Method.
During estimation of nitrogen by Dumas' method of compound X (0.42 g):
The image shows the molecular skeletal architecture of compound X with structural parameters revealing a formula corresponding to a molecular mass of 86 g/mol.
mL of N2$N{2}$ gas will be liberated at STP. (nearest integer)
(Given molar mass in g mol: C: 12, H: 1, N: 14)
The image shows the molecular skeletal architecture of compound X with structural parameters revealing a formula corresponding to a molecular mass of 86 g/mol.
Numerical Answer Type:
Enter a numerical valueAnswer: 111 to 111+4 marks
Solution & Explanation
Related Formula
Using the Principle of Atom Conservation (POAC) for Nitrogen:
ncompound × (atoms of N per molecule) = 2 × nN₂$$n_{\text{compound}} \times (\text{atoms of N per molecule}) = 2 \times n_{\text{N}_2}$$
Core Logic
The molecular weight of the given heterocyclic amine organic structure X$X$ (piperazine, C₄H₁₀N₂$\text{C}_4\text{H}_{10}\text{N}_2$) is calculated as:
The image shows the molecular skeletal architecture of compound X with structural parameters revealing a formula corresponding to a molecular mass of 86 g/mol.
Given mass of compound = 0.42 g$= 0.42\text{ g}$:
Moles of compound X = (0.42)/(86) mol$$\text{Moles of compound } X = \frac{0.42}{86}\text{ mol}$$
Step 1: Calculating STP Volume
Since each molecule contains 2$2$ nitrogen atoms, 1 mol$1\text{ mol}$ of compound produces 1 mol$1\text{ mol}$ of N₂$\text{N}_2$ gas:
Using standard molar volume at STP (22700 mL/mol$22700\text{ mL/mol}$ per IUPAC convention, or 22400 mL/mol$22400\text{ mL/mol}$ in traditional calculations):
Volume of N₂ at STP = (0.42)/(86) × 22700 mL ≈ 110.86 mL ≈ 111 mL$$\text{Volume of } \text{N}_2\text{ at STP} = \frac{0.42}{86} \times 22700\text{ mL} \approx 110.86\text{ mL} \approx 111\text{ mL}$$
(Note: If calculated using 22400 mL/mol$22400\text{ mL/mol}$, Volume = (0.42)/(86) × 22400 ≈ 109.4 mL ≈ 109 mL$\text{Volume} = \frac{0.42}{86} \times 22400 \approx 109.4\text{ mL} \approx 109\text{ mL}$.)
Rounding to the nearest integer gives 111 (official accepted range: 109 to 111).
Pattern Recognition
Shortcut: Determine the molar mass (M = 86 g/mol$M = 86\text{ g/mol}$) and nitrogen atom count (2 N atoms 1 mol N₂ per mol of compound$2\text{ N atoms} \implies 1\text{ mol } \text{N}_2\text{ per mol of compound}$). Multiply moles directly by molar volume at STP to find the liberated gas volume.
Evaluation Rubric / Model Answer
111
Chapter Mix
Class 11 Chemistry: Organic Chemistry - Some Basic Principles and Techniques
The image shows the molecular skeletal architecture of compound X with structural parameters revealing a formula corresponding to a molecular mass of 86 g/mol.
Keywords:#Dumas method quantitative#Molar weight tracking#Nitrogen gas evolution
More Organic Chemistry - Some Basic Principles and Techniques Previous-Year Questions — Page 3
Q67jee_main_2026_23_january_morningMethods of Purification
Given below are two statements:
Statement-I : Sublimation is used for the separation and purification of compounds with low melting point.
Statement-II : The boiling point of a liquid increases as the external pressure is reduced.
In the light of the above statements, choose the correct answer from the options given below :
A.Statement-I is false but Statement-II is true.$\text{Statement-I is false but Statement-II is true.}$
B.Statement-I is true but Statement-II is false.$\text{Statement-I is true but Statement-II is false.}$
C.Both Statement-I and Statement-II are true.$\text{Both Statement-I and Statement-II are true.}$
D.Both Statement-I and Statement-II are false.$\text{Both Statement-I and Statement-II are false.}$
Solution
Core Logic
Assess theoretical principles of purification processes.
Statement-I: Sublimation is a process used for separating sublimable compounds from non-sublimable impurities. It does not strictly depend on a 'low melting point'. Sublimable solids bypass the liquid phase altogether when heated. (False)
Statement-II: The boiling point of a liquid is the temperature at which its vapor pressure equals the external atmospheric pressure. If external pressure is reduced, the liquid needs less vapor pressure (and thus lower temperature) to boil. Hence, boiling point decreases with reduced external pressure. (False)
Step 1: Final Conclusion
Both statements are fundamentally false based on basic thermodynamics and purification principles.
Pattern Recognition
Lower pressure = Lower boiling point (used in vacuum distillation). Sublimation relies on vapor pressure of solid overcoming external pressure without melting, independent of specifically 'low' melting points.
Chapter Mix
Class 11 Chemistry: Organic Chemistry Some Basic Principles and Techniques
Q57jee_main_2026_23_january_eveningCarbocation Stability and Hyperconjugation
Given below are two statements:
Statement I: (CH₃)₃C$(CH_{3})_{3}C^{\oplus}$ is more stable than CH₃$CH_{3}^{\oplus}$ as nine hyperconjugation interactions are possible in (CH₃)₃C$(CH_{3})_{3}C^{\oplus}$.
Statement II: CH₃$CH_{3}^{\oplus}$ is less stable than (CH₃)₃C$(CH_{3})_{3}C^{\oplus}$ as only three hyperconjugation interactions are possible in CH₃$CH_{3}^{\oplus}$.
In the light of the above statements, choose the correct answer from the options given below.
A.Statement I is true but Statement II is false$\text{Statement I is true but Statement II is false}$
B.Both Statement I and Statement II are true$\text{Both Statement I and Statement II are true}$
C.Both Statement I and Statement II are false$\text{Both Statement I and Statement II are false}$
D.Statement I is false but Statement II is true$\text{Statement I is false but Statement II is true}$
Solution
Related Formula
Number of hyperconjugation structures = Number of α-hydrogens$\text{Number of hyperconjugation structures} = \text{Number of } \alpha\text{-hydrogens}$
Core Logic
Statement I: In the tert-butyl carbocation, (CH₃)₃C$(CH_{3})_{3}C^{\oplus}$, the central positively charged carbon is attached to three methyl groups. This provides a total of 3 × 3 = 9$3 \times 3 = 9$α$\alpha$-hydrogens, leading to nine hyperconjugation interactions. This extensively stabilizes the carbocation. Statement I is true.
Statement II: In the methyl carbocation, CH₃$CH_{3}^{\oplus}$, there are zero adjacent carbon atoms, meaning there are ZERO α$\alpha$-hydrogens. Thus, no hyperconjugation interactions are possible in CH₃$CH_{3}^{\oplus}$. The statement incorrectly claims there are three hyperconjugation interactions. Statement II is false.
Pattern Recognition
Always count α$\alpha$-hydrogens strictly from the carbon adjacent to the C$C^{\oplus}$ center. CH₃$CH_3^{\oplus}$ has hydrogens on the C$C^{\oplus}$ itself, not on an adjacent alpha carbon, hence 0 hyperconjugative structures.
In Carius method0.2425 g$0.2425 \text{ g}$ of an organic compounds gave 0.5253 g$0.5253 \text{ g}$ silver chloride. The percentage of chlorine in the organic compound is
A.53.58%$53.58\%$
B.87.65%$87.65\%$
C.37.57%$37.57\%$
D.34.79%$34.79\%$
Solution
Related Formula
% of Halogen = Atomic mass of HalogenMolecular mass of AgX × Mass of AgX formedMass of Organic Compound × 100$$\% \text{ of Halogen} = \frac{\text{Atomic mass of Halogen}}{\text{Molecular mass of AgX}} \times \frac{\text{Mass of AgX formed}}{\text{Mass of Organic Compound}} \times 100$$
Core Logic
Given data:
Mass of organic compound (w$w$) = 0.2425 g$0.2425 \text{ g}$
Mass of AgCl precipitate (w₁$w_1$) = 0.5253 g$0.5253 \text{ g}$
Molar mass of AgCl = 108 (Ag) + 35.5 (Cl) = 143.5 g/mol$108 (\text{Ag}) + 35.5 (\text{Cl}) = 143.5 \text{ g/mol}$
Step 1: Perform Calculation
Substitute the values into the Carius formula:
% of Cl = (35.5)/(143.5) × (0.5253)/(0.2425) × 100$$\% \text{ of Cl} = \frac{35.5}{143.5} \times \frac{0.5253}{0.2425} \times 100$$% of Cl = 0.2474 × 2.166 × 100$$\% \text{ of Cl} = 0.2474 \times 2.166 \times 100$$% of Cl ≈ 53.58%$$\% \text{ of Cl} \approx 53.58\%$$
Pattern Recognition
Carius estimation is a direct plug-and-play stoichiometric ratio calculation. 1 mole of AgCl contains exactly 1 mole of Cl atoms.
Chapter Mix
Class 11 Chemistry: General Organic Chemistry
Q69jee_main_2026_24_january_morningStability of Carbanions
Arrange the following carbanions in the decreasing order of stability
I. p-Br-C₆H₄-CH₂^-$p-\text{Br}-\text{C}_6\text{H}_4-\text{CH}_2^-$
II. C₆H₅-CH₂^-$\text{C}_6\text{H}_5-\text{CH}_2^-$
III. p-CH₃O-C₆H₄-CH₂^-$p-\text{CH}_3\text{O}-\text{C}_6\text{H}_4-\text{CH}_2^-$
IV. p-CHO-C₆H₄-CH₂^-$p-\text{CHO}-\text{C}_6\text{H}_4-\text{CH}_2^-$
V. p-CH₃-C₆H₄-CH₂^-$p-\text{CH}_3-\text{C}_6\text{H}_4-\text{CH}_2^-$
Choose the correct answer from the options given below :
A.I > II > IV > V > III$\text{I} > \text{II} > \text{IV} > \text{V} > \text{III}$
B.I > IV > II > V > III$\text{I} > \text{IV} > \text{II} > \text{V} > \text{III}$
C.IV > I > II > V > III$\text{IV} > \text{I} > \text{II} > \text{V} > \text{III}$
D.IV > II > I > III > V$\text{IV} > \text{II} > \text{I} > \text{III} > \text{V}$
Solution
Core Logic
The stability of a carbanion increases when electron-withdrawing groups (EWG) are present, as they help disperse the negative charge through -I or -M effects.
Electron-donating groups (EDG) decrease stability by intensifying the negative charge through +I or +M effects.
Evaluating the para-substituents:
IV. -CHO$-\text{CHO}$: Strong -M effect. Highly stabilizing.
I. -Br$-\text{Br}$: Weak +M effect, but prominent -I effect. Overall stabilizing relative to hydrogen.
II. -H$-\text{H}$: (Plain benzyl anion) Neutral baseline.
III. -OCH₃$-\text{OCH}_3$: Strong +M effect. Highly destabilizing.
V. -CH₃$-\text{CH}_3$: +I and +H (hyperconjugation) effects. Destabilizing, but less so than strong +M.
Step 1: Final Conclusion
Based on the effects, the stability order is:
-CHO (-M) > -Br (-I) > -H > -CH₃ (+I, +H) > -OCH₃ (+M)$-\text{CHO} (-M) > -\text{Br} (-I) > -\text{H} > -\text{CH}_3 (+I, +H) > -\text{OCH}_3 (+M)$
Therefore: IV > I > II > V > III$\text{IV} > \text{I} > \text{II} > \text{V} > \text{III}$.
Pattern Recognition
For carbanions, think: "EWG stabilizes, EDG destabilizes". This is the exact opposite of carbocation stability rules.
Chapter Mix
Class 11 Chemistry: Organic Chemistry - Some Basic Principles and Techniques
In Dumas method for estimation of nitrogen, 0.50 g$0.50 \text{ g}$ of an organic compound gave 70 mL$70 \text{ mL}$ of nitrogen collected at 300 K$300 \text{ K}$ and 715 mm$715 \text{ mm}$ pressure. The percentage of nitrogen in the organic compound is ____%
(Aqueous tension at 300 K$300 \text{ K}$ is 15 mm$15 \text{ mm}$).
% N = (0.07324)/(0.50) × 100 = 14.65 %$$\% N = \frac{0.07324}{0.50} \times 100 = 14.65 \%$$
Rounding to the nearest integer, it is 15 %$15 \%$.
Pattern Recognition
Always subtract aqueous tension from total pressure before plugging into the ideal gas law. Alternatively, convert volume to STP directly using (P₁V₁)/T₁ = (PSTPVSTP)/TSTP$(P_1V_1)/T_1 = (P_{STP}V_{STP})/T_{STP}$.
Chapter Mix
Class 11 Chemistry: Organic Chemistry - Some Basic Principles and Techniques
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.
 "Dumas method quantitative, Molar weight tracking, Nitrogen gas evolution")
 "Dumas method quantitative, Molar weight tracking, Nitrogen gas evolution")
