1
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 ___________.

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

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)

3
JEE Main 2022 (Online) 27th June Evening Shift
Numerical
+4
-1

pH value of 0.001 M NaOH solution is ____________.

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

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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