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For a first order reaction 2A(g) \rightarrow 3B(g)+ 2C(g). If the initial pressure is 'P_{0} ' and the total pressure at time ‘t’ is ‘Pt ’, then the correct expression for the rate constant is

Option: 1

\frac{2.3.3}{2t}\log \frac{3P_0}{5P_0-2P_t}
 


Option: 2

\frac{2.3.3}{2t}\log \frac{P_0}{5P_0-2P_t}


Option: 3

\frac{2.3.3}{2t}\log \frac{3P_0}{3P_0-2P_t}

 


Option: 4

\frac{2.3.3}{2t}\log \frac{P_0}{3P_0-2P_t}


Answers (1)

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Answer (1)

For 1st order reaction

K=\frac{2.303}{t}\log \frac{\left [ A_0 \right ]}{\left [ A_t \right ]}\\ \\ \left [ A_0 \right ]\propto P_0 \\ \\ \left [ A_t \right ]\propto \frac{1}{3}\left ( 5P_0 -2P_t \right )

 

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