KCET2012ChemistryChemical Kinetics
A given sample of milk turns sour at room temperature (27^ C ) in 5 ~h . In a refrigerator at -3^ C , it can be stored 10 times longer. The energy of activation for the souring of milk is
Options
- A2.303 5 R kJ mol ⁻¹
- B2.303 3 R kJ mol ⁻¹
- C2.303 2.7 R kJ ⁻¹ ~mol ⁻¹
- D2.303 10 R kJ mol ⁻¹
Correct answer
C. 2.303 2.7 R kJ ⁻¹ ~mol ⁻¹
Step-by-step solution
Energy of activation is given by k₂ k₁ = E_ a 2.303 R [ T₂-T₁ T₁ T₂ ] Here, k ₂ k ₁ = 1 10 T ₁=27^ C =300 ~K T ₂=-3^ C =270 ~K 1 10 = E_ a 2.303 R ( 270-300 270 300 )-1=- E_ a 2.303 R 30 270 300 E _ a =+2.303 2700 R J mol ⁻¹=+2.303 2.7 R kJ mol =1