The same compound has density 0.977 g/L at 710 mmHg and 100°C, giving $M_r\approx32$. Its molecular formula is:
ANH2
BN4H8
CN3H6
DN2H4
Answer & Solution
Correct answer: D. N2H4
1. Find $M_r$ from the gas density using $M_r=\dfrac{\rho RT}{P}$.
2. With $\rho=0.977$ g/L, $T=373$ K and $P=\dfrac{710}{760}=0.934$ atm, this gives $M_r\approx32$.
3. The empirical formula NH₂ has a mass of $14+2=16$.
4. So $n=\dfrac{32}{16}=2$.
5. Multiplying the empirical formula by 2 gives N₂H₄, hydrazine. Reporting NH₂ stops at the empirical formula and ignores the density data.
_Source: NECTA ACSEE 2023 Chemistry 132/1, Question 1: Gases_
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