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(A) For the reaction $2A_{(g)} \longrightarrow B_{(g)} + C_{(s)}$, let the initial pressure of $A$ be $P_0$.At $t = 0$: $P_A = P_0$, $P_B = 0$, $P_{to

Vedclass · Accepted Answer

$0.0693$

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(A) For the reaction $2A_{(g)} \longrightarrow B_{(g)} + C_{(s)}$, let the initial pressure of $A$ be $P_0$.At $t = 0$: $P_A = P_0$, $P_B = 0$, $P_{total} = P_0$.At $t = t$: $P_A = P_0 - 2x$, $P_B = x$, $P_{total} = (P_0 - 2x) + x = P_0 - x$.At $t = \infty$: $P_A = 0$, $P_B = P_0/2$, $P_{total} = P_0/2 = 200 \ Pa \implies P_0 = 400 \ Pa$.At $t = 10 \ min$: $P_{total} = P_0 - x = 300 \ Pa \implies 400 - x = 300 \implies x = 100 \ Pa$.Pressure of $A$ at $t = 10 \ min$ is $P_A = P_0 - 2x = 400 - 2(100) = 200 \ Pa$.For a first-order reaction: $k = \frac{2.303}{t} \log \frac{P_0}{P_A} = \frac{2.303}{10} \log \frac{400}{200} = \frac{2.303}{10} \log 2$.$k = 0.2303 	imes 0.3010 \approx 0.0693 \ min^{-1}$.

$S$.No.	Time	Total pressure in $Pa$
$1$.	At $t = 10 \ min$	$300$
$2$.	At $t = \infty$	$200$

The following data is obtained during the first-order thermal decomposition of $2A_{(g)} \longrightarrow B_{(g)} + C_{(s)}$ at constant volume and temperature. The rate constant in $min^{-1}$ is:
$S$.No. Time Total pressure in $Pa$
$1$. At $t = 10 \ min$ $300$
$2$. At $t = \infty$ $200$

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The following data is obtained during the first-order thermal decomposition of $2A_{(g)} \longrightarrow B_{(g)} + C_{(s)}$ at constant volume and temperature. The rate constant in $min^{-1}$ is: $S$.No.TimeTotal pressure in $Pa$$1$.At $t = 10 \ min$$300$$2$.At $t = \infty$$200$