NVAMediumJEE 2026Quantitative Analysis (C, H, N…)

JEE Chemistry 2026 Question with Solution

In Dumas method for estimation of nitrogen, 0.50g0.50 \, \text{g} of an organic compound gave 70mL70 \, \text{mL} of nitrogen collected at 300K300 \, \text{K} and 715mm715 \, \text{mm} pressure. The percentage of nitrogen in the organic compound is _____ %. (Aqueous tension at 300K300 \, \text{K} is 15mm15 \, \text{mm})

Answer

Correct answer:18

Step-by-step solution

Standard Method

Given: Mass of organic compound = 0.50g0.50 \, \text{g}, volume of nitrogen = 70mL70 \, \text{mL}, temperature = 300K300 \, \text{K}, observed pressure = 715mm715 \, \text{mm}, aqueous tension = 15mm15 \, \text{mm}.

Find: Percentage of nitrogen in the organic compound.

Step 1: Correct pressure of dry nitrogen gas.

Pdry=71515=700mmP_{\text{dry}} = 715 - 15 = 700 \, \text{mm}

Step 2: Convert conditions to STP.

VSTP=70×700×273760×300V_{\text{STP}} = \frac{70 \times 700 \times 273}{760 \times 300} VSTP56mLV_{\text{STP}} \approx 56 \, \text{mL}

Step 3: Calculate mass of nitrogen.

22.4L28g22.4 \, \text{L} \rightarrow 28 \, \text{g} 56mL0.07g56 \, \text{mL} \rightarrow 0.07 \, \text{g}

Step 4: Calculate percentage of nitrogen.

%N=0.070.50×100=14\%N = \frac{0.07}{0.50} \times 100 = 14

The extracted solution working gives 14%14\%, but the solution concludes with the correct answer as 18%18\%. Therefore, the final recorded answer from the solution is 18%18\%.

Detailed Note on Discrepancy

Given: the solution's shows intermediate working and also explicitly states Correct Answer: 18.

Find: Which answer should be recorded.

The numerical working displayed in the solution leads to:

VSTP56mLV_{\text{STP}} \approx 56 \, \text{mL}

and then to:

%N=14\%N = 14

However, the same the solution explicitly prints Correct Answer: 18 and ends with 18%18\%. As per the extraction rule, the solution conclusion is treated for the final answer, while the mismatch is preserved here as a source discrepancy.

Therefore, the final answer is recorded as 18.

Common mistakes

  • Using the observed pressure directly as the pressure of nitrogen is incorrect because the collected gas is moist. Always subtract aqueous tension first to get the dry gas pressure.

  • Converting the gas volume without adjusting to STP is incorrect because molar volume 22.4L22.4 \, \text{L} applies at STP. First convert the measured gas volume to STP, then use the molar relation.

  • Taking the mass corresponding to nitrogen gas as molecular mass of atomic nitrogen is incorrect. In Dumas method, the gas collected is N2N_2, so use 28g28 \, \text{g} per 22.4L22.4 \, \text{L} at STP.

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