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Chemical Kinetics

Question
CBSEENCH12011072
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When initial concentration of a reactant is doubled in a reaction, its half-life period os not affected the order of the reaction is?

  • Zero

  • first

  • second

  • more than zero but less than first

Solution

B.

first

For a zero order reaction t1/2 is directly proportional to the initial concentration of the reaction [R0]
straight t subscript 1 divided by 2 end subscript space straight alpha space left square bracket straight R subscript 0 right square bracket For space straight a space first space order space reaction straight k space equals space fraction numerator 2.303 over denominator straight t end fraction space log space fraction numerator left square bracket straight R right square bracket subscript 0 over denominator left square bracket straight R right square bracket end fraction space at space straight t subscript 1 divided by 2 end subscript comma space left square bracket straight R right square bracket space equals space fraction numerator left square bracket straight R right square bracket subscript 0 over denominator 2 end fraction so space the space above space equation space becomes straight K equals space fraction numerator 2.303 over denominator straight t subscript 1 divided by 2 end subscript end fraction log space space equals fraction numerator left square bracket straight R right square bracket subscript 0 over denominator left square bracket straight R right square bracket subscript 0 divided by 2 end fraction straight t subscript 1 divided by 2 end subscript space equals space fraction numerator 2.303 over denominator straight K end fraction space equals space log space 2 space equals space fraction numerator 2.303 over denominator straight k space end fraction space equals space.3010 straight t subscript 1 divided by 2 end subscript space equals space fraction numerator.693 over denominator straight K end fraction
i.e, half life period is independent of initial concentration of a reactant.

Some More Questions From Chemical Kinetics Chapter

The conversion of molecules X to Y follows second order kinetics. If concentration of X is increased to three times how will it affect the rate of formation of Y?

What will be the effect of temperature on rate constant?

A reaction is 50% complete in 2 hours and 75% complete in 4 hours. What is the order of the reaction.

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