1.

A given sample of milk turns sour at room temperature (27^(@)C) in 5 hours. In a refrigerator at -3^(@)C, it can be stored 10 times longer. Calculate the energy of activation of souring of milk.

Answer»

Solution :`T_(1)=27+273=300" K",T_(2)=273-3=270" K"`
`k_(2)=k,""k_(1)=10" k (Higher the temperature, greater is the VALUE of k)"`
`LOG""(k_(2))/(k_(1))=(E_(a))/(2.303" R")((1)/(T_(1))-(1)/(T_(2)))`
or `log""(1)/(10)=(E_(a))/(2.303" R")((1)/(300)-(1)/(270))`
`-1=(E__(a))/(2.303" R")((-30)/(300xx270))" or "E_(a)=2.303" R"xx2700" J mol"^(-1)=2.303xx8.314xx2700" J mol"^(-1)`
`=51697" J mol"^(-1)=51.7" kJ mol"^(-1)`


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