A gaseous compound AB2 completely decomposed in three gaseous compounds AB4 , A2B4 and A2B2. If the volume of AB4 is equal to A2B4 in mixture under similar conditions of temperature and pressure then find the volume percentage of A2B2 in the final mixture

Engineering

Chemistry

Chemical Equation and Stoichiometric Calculation

Question

A gaseous compound AB₂ completely decomposed in three gaseous compounds AB₄ , A₂B₄ and A₂B₂. If the volume of AB₄ is equal to A₂B₄ in mixture under similar conditions of temperature and pressure then find the volume percentage of A₂B₂ in the final mixture

33.33 %

11.11 %

66.66 %

22.22 %

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Let moles of AB₄ & A₂B₄ = a
Let moles of AB₂ = 1
Let moles of A₂B₂ = b
applying POAC on A
a + 2a + 2b = 1   ⇒ 3a + 2b = 1   ... (1)
applying POAC on B
4a + 4a + 2b = 2, ⇒ 8a + 2b = 2       ... (2)
from equation (1) & (2) a = $\frac{1}{5}, b = \frac{1}{5}$
$∴$ % of A₂B₂ = $\frac{\frac{1}{5}}{\frac{2}{5}} \times 100$ = 33.33 %