The first order reaction:
Sucrose `rarr` Glucose + Fructose takes place at `308 K` in `0.5 N HCl`. At time zero the initial total rotation of the mixture is `32.4^(@)`. After `10 min`, the total rotation is `28.8^(@)`. If the rotation of sucrose per mole is `85^(@)`, that of glucose is `7.4^(@)`, and of fructose is `-86.04^(@)`, calculate the half life of the reaction.

The reaction ,Sucrose overset(H^(+))rarr Glucose + Fructose, take place at certain temperature while the volume of solution is maintained at 1 litre. At time zero the initial rotation of the mixture is 34^(@) . After 30 minutes the total rotation of solutions is 19^(@) and after a very long time, the total roation is -11^(@) C Find the time when solution was optically inaactive.

An optically active compound A upon acid catalysed hydrolysis yield two optically active compound B and C by pseudo first order kinetics. The observed rotation of the mixture after 20 min was 5^(@) while after completion of the reaction it was –20^(@) . If optical rotation per mole of A, B & C are 60^(@), 40^(@) & –80^(@) . Calculate half life of the reaction.

The rate constant for a first order reaction is 7.5 xx 10^(-4) s^(-1) . If initial concentration of reactant is 0.080 M , what is the half life of reaction ?

For the first order reaction A(g)rarr2B(g)+C(g) the total pressure after time 1.8 minutes from the start of reaction with "A" is 5 atm and after infinite time,it is "10" atm.What is the rate constant of the reaction in min^(-1) ?

For a fist order reaction specific reaction rate is 6.3xx10^(-4) sec^(-1) . If the initial concentration be 0.5 mole/lit then find the rate after 30 minute. For a second order reaction with initial concentration of reactant be 0.125 (M) and specific reaction rate 4.2xx10^(-3) mol^(-1) lit sec^(-1) . Then find half life of the reaction.