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A(g) → 2B(g) + C(g) is a first order reaction. The initial pressure of the system was found to be 800 mm Hg which increased to 1600mm Hg after 10 min. The total pressure of the system after 30 min will be ________ mm Hg. (Nearest integer)

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answer is 2200.

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Detailed Solution

$\begin{array}{llll} A_{(g)} \to 2 B_{(g)} + C_{(g)} \\ 800 0 0 \\ 800 - α 2 α α \end{array}$
t_1/2 = 10 mins
$\begin{array}{l} \Rightarrow 800 + 2 α = 1600 \\ 2 α = 800 \\ α = 400 \end{array}$
After half after
P_total = 2200

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