1
JEE Main 2022 (Online) 30th June Morning Shift
Numerical
+4
-1

For the reaction P $$\to$$ B, the values of frequency factor A and activation energy EA are 4 $$\times$$ 1013 s$$-$$1 and 8.3 kJ mol$$-$$1 respectively. If the reaction is of first order, the temperature at which the rate constant is 2 $$\times$$ 10$$-$$6 s$$-$$1 is _____________ $$\times$$ 10$$-$$1 K.

(Given : ln 10 = 2.3, R = 8.3 J K$$-$$1 mol$$-$$1, log2 = 0.30)

2
JEE Main 2022 (Online) 29th June Evening Shift
Numerical
+4
-1

The equation

k = (6.5 $$\times$$ 1012s$$-$$1)e$$-$$26000K/T

is followed for the decomposition of compound A. The activation energy for the reaction is ________ kJ mol$$-$$1. [nearest integer]

(Given : R = 8.314 J K$$-$$1 mol$$-$$1)

3
JEE Main 2022 (Online) 29th June Morning Shift
Numerical
+4
-1

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]

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

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)