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A given sample of milk turns sour at roo...

A given sample of milk turns sour at room temperature `(27^(@)C)` in five hours. In a refrigerator at `-3^(@)C`, it can be stored 10 times longer. The energy of acrivation for the souring of milk is

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`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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