1
JEE Main 2022 (Online) 29th June Morning Shift
Numerical
+4
-1
Change Language

The activation energy of one of the reactions in a biochemical process is 532611 J mol$$-$$1. When the temperature falls from 310 K to 300 K, the change in rate constant observed is k300 = x $$\times$$ 10$$-$$3 k310. The value of x is ____________.

[Given : $$\ln 10 = 2.3$$, R = 8.3 J K$$-$$1 mol$$-$$1]

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2
JEE Main 2022 (Online) 28th June Evening Shift
Numerical
+4
-1
Change Language

A radioactive element has a half life of 200 days. The percentage of original activity remaining after 83 days is ___________. (Nearest integer)

(Given : antilog 0.125 = 1.333, antilog 0.693 = 4.93)

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3
JEE Main 2022 (Online) 28th June Morning Shift
Numerical
+4
-1
Change Language

For a first order reaction A $$\to$$ B, the rate constant, k = 5.5 $$\times$$ 10$$-$$14 s$$-$$1. The time required for 67% completion of reaction is x $$\times$$ 10$$-$$1 times the half life of reaction. The value of x is _____________ (Nearest integer)

(Given : log 3 = 0.4771)

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4
JEE Main 2022 (Online) 27th June Evening Shift
Numerical
+4
-1
Change Language

It has been found that for a chemical reaction with rise in temperature by 9 K the rate constant gets doubled. Assuming a reaction to be occurring at 300 K, the value of activation energy is found to be ____________ kJ mol$$-$$1. [nearest integer]

(Given ln10 = 2.3, R = 8.3 J K$$-$$1 mol$$-$$1, log 2 = 0.30)

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