1
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)

2
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]

3
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)

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

The solubility product of a sparingly soluble salt A2X3 is 1.1 $$\times$$ 10$$-$$23. If specific conductance of the solution is 3 $$\times$$ 10$$-$$5 S m$$-$$1, the limiting molar conductivity of the solution is $$x \,\times$$ 10$$-$$3 S m2 mol$$-$$1. The value of x is ___________.

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