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Q.

For following reactions

A700KProduct

Acatalyst500KProduct

It was found that the activation energy is decreased by 30 kJ / mol  in the presence of catalyst. If the rate remains unchanged, the activation energy for catalysed reaction is  (Assume pre exponential factor is same ):

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a

135 kJ / mol

b

105 kJ / mol

c

75 kJ / mol

d

198 kJ / mol

answer is C.

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Detailed Solution

Reaction-1:

A700KProduct

Reaction 2:

Acatalyst500KProduct

r1=r2   &    k1=k2 A×e-Ea1/RT1=A×e-Ea2/RT2 Ea1T1=Ea2T2   and also Ea1=30+Ea2

Ea2+30700=Ea2500

Ea2=75 kJ/mol

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