For the given reaction, if the initial pressure is 450 mm Hg and the pressure at time t is 720 mm Hg at a constant temperature T and constant volume V. The fraction of A(g) decomposed under these conditions is . The value of is ______ (Nearest Integer)

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Solution

Q.
$A (g) ⇌ 2 B (g) + C (g)$

For the given reaction, if the initial pressure is 450 mm Hg and the pressure at time t is 720 mm Hg at a constant temperature T and constant volume V. The fraction of A(g) decomposed under these conditions is $x \times 10^{- 1}$ . The value of $x$ is ______ (Nearest Integer) [2023]

Ans.
(3)

$\begin{matrix} A(g) & ⇌ & 2 B(g) & + & C(g) \\ t = 0 & 450 & 0 & 0 \\ t = t & 450 - y & 2 y & y \end{matrix}$

   $720 = 450 - y + 2 y + y$

$∴$    $y = 135$

$Now, fraction of$ $A_{(g)}$ $decomposed = \frac{135}{450} = 0.3 = 3 \times 10^{- 1} = x \times 10^{- 1}$

$∴$     $x = 3$

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