Decomposition of A is a first order reaction at $T(K)$ and is given by $A(g) \rightarrow B(g) + C(g)

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Decomposition of A is a first order reaction at $T(K)$ and is given by $A(g) \rightarrow B(g) + C(g)$. In a closed 1 L vessel, 1 bar $A(g)$ is allowed to decompose at $T(K)$. After 100 minutes, the total pressure was 1.5 bar. What is the rate constant (in $\min^{- 1}$ ) of the reaction? ( $log2 = 0.3)$

Accepted Answer

$${P_{	ext{total~}} = 1 + P }{1.5 = 1 + P }{P = 0.5 }{K = \frac{1}{100}ln\frac{1}{0.5} }{= \frac{0.693}{100} }{= 6.9 	imes 10^{- 3}{	ext{ }\min}^{- 1}}$$

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