During estimation of nitrogen by Dumas' method of compound X (0.42 g) mL of N2 gas will be liberated at STP. (nearest integer) (Given molar mass in g mol-1 : C : 12, H : 1, N : 14)

The correct answer is Option 109. Full mathematical solution steps and hints are accessible in the interactive StemCET workspace.

Chemistry Q75 – JEE-MAIN 2025

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Home Chemistry Basic Organic ChemistryQuestion #164

During estimation of nitrogen by Dumas' method of compound X (0.42 g)

X

_______ mL of

N_{2}

gas will be liberated at STP. (nearest integer) (Given molar mass in g mol

^{- 1}

: C : 12, H : 1, N : 14)

Enter Calculated Numerical Value:

Clue 1 of 3: Understand Dumas' Method

Dumas' method is used for the quantitative estimation of nitrogen in an organic compound by converting all nitrogen into nitrogen gas ( $N_{2}$ ).

🧠 Full Solution Path

Step 1: Determine the molecular formula and molar mass of Piperazine.✦ Active

The given compound X is Piperazine, which has the molecular formula $C_{4} H_{10} N_{2}$ .

Molar mass of Piperazine (C_{4} H_{10} N_{2}) = (4 \times 12) + (10 \times 1) + (2 \times 14) = 48 + 10 + 28 = 86 g/mol

Step 2: Calculate the moles of

N_{2}

gas liberated.○ Expand

Mass of compound X = $0.42 g$ . Moles of compound X = $\frac{Mass}{Molar mass} = \frac{0.42 g}{86 g/mol}$ . Since 1 mole of $C_{4} H_{10} N_{2}$ contains 2 nitrogen atoms, it will produce 1 mole of $N_{2}$ gas in Dumas' method.

Moles of N_{2} gas liberated = Moles of compound X = \frac{0.42}{86} mol

Step 3: Calculate the volume of

N_{2}

gas at STP.○ Expand

At STP, 1 mole of $N_{2}$ gas occupies $22400 mL$ .

Volume of N_{2} gas = \frac{0.42}{86} \times 22400 mL \approx 109.395 mL

Rounding to the nearest integer, the volume is $109 mL$ .

💡 Teacher's Secret Hint

Remember to round to the nearest integer as specified in the question.

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Chemistry Question 75 – JEE-MAIN 2025

Clue 1 of 3: Understand Dumas' Method

🧠 Full Solution Path