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The rate expression for a reaction is ( and )
MATHEMATICS · Single correct · CBSE · Mathematics · Differential Equations · Differential Equations
Problem The rate expression for a reaction is − d c d t = α c 1 + β c -\frac{dc}{dt} = \frac{\alpha c}{1 + \beta c} − d t d c = 1 + β c α c ( α \alpha α and β > 0 \beta > 0 β > 0 ). The half life of the reaction can be given by :
(1) 1 α ln 2 + β c 0 α \frac{1}{\alpha} \ln 2 + \frac{\beta c_0}{\alpha} α 1 ln 2 + α β c 0
(2) 1 α ln 2 + β c 0 2 α \frac{1}{\alpha} \ln 2 + \frac{\beta c_0}{2\alpha} α 1 ln 2 + 2 α β c 0
(3) ln 2 + β c 0 2 \ln 2 + \frac{\beta c_0}{2} ln 2 + 2 β c 0
(4) ln 2 + β c 0 2 α \ln 2 + \frac{\beta c_0}{2\alpha} ln 2 + 2 α β c 0
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