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 −dcdt=αc1+βc-\frac{dc}{dt} = \frac{\alpha c}{1 + \beta c} ( α\alpha and β>0\beta > 0 ). The half life of the reaction can be given by : (1) 1αln⁡2+βc0α\frac{1}{\alpha} \ln 2 + \frac{\beta c_0}{\alpha} (2) 1αln⁡2+βc02α\frac{1}{\alpha} \ln 2 + \frac{\beta c_0}{2\alpha} (3) ln⁡2+βc02\ln 2 + \frac{\beta c_0}{2} (4) ln⁡2+βc02α\ln 2 + \frac{\beta c_0}{2\alpha}

Related theory

Browse the problem library