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The rate of reaction `((dx)/(dt))` varies with nature, physical state and concentration of reactants, temperature, exposure to light and catalyst, whereas rate constant `(K)` varies with temperature and catalyst only. The rate constant `K` is given as `K=Ae^(-E_(a)//RT)` where `A` is Arrhenius parameter or pre-exponential factor and `E_(a)` is energy of activation. The minimum energy required for a reaction is called threshold energy and the additional energy required by reactant molecules to attain threshold energy level is called energy of activation. How much faster would a reaction proceed at `25^(@)C` than at `0^(@)C` if the activation energy is `2` cal?A. (a) `2` timesB. (b) `16` timesC. (c ) `11` timesD. (d) Almost at same speed

Answer» Correct Answer - d
`K_(1)=Ae^(-2/(RxxT_(1)))=Ae^(-2/(2xx273))`
`K_(2)=Ae^(-2/(RxxT_(2)))=Ae^(-2/(2xx298))`
`:. K_(1)/K_(2)=e^([-1/298+1/273])=1.0003`
`:. r_(1)/r_(2)=1.0003`


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