At 100,^circ C, the gaseous reaction A_{(g)} | vedclass

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(A) For the reaction: $A_{(g)} \rightarrow 2B_{(g)} + C_{(g)}$Let the initial pressure of $A$ be $P_0$.At $t = 0$: $P_{total} = P_0$At $t = \infty$ (c

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$70$

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(A) For the reaction: $A_{(g)} \rightarrow 2B_{(g)} + C_{(g)}$Let the initial pressure of $A$ be $P_0$.At $t = 0$: $P_{total} = P_0$At $t = \infty$ (complete dissociation): $P_{total} = P_B + P_C = 2P_0 + P_0 = 3P_0$Given $P_{\infty} = 300\,mm$,so $3P_0 = 300 \Rightarrow P_0 = 100\,mm$.At $t = 10\,\min$:$P_A = P_0 - x$$P_B = 2x$$P_C = x$$P_{total} = (P_0 - x) + 2x + x = P_0 + 2x$Given $P_{total} = 160\,mm$ at $t = 10\,\min$:$100 + 2x = 160$ $\Rightarrow 2x = 60$ $\Rightarrow x = 30\,mm$.Partial pressure of $A$ at $t = 10\,\min$ is $P_A = P_0 - x = 100 - 30 = 70\,mm$.

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