1
JEE Main 2021 (Online) 17th March Morning Shift
Numerical
+4
-1
0.01 moles of a weak acid HA (Ka = 2.0 $$\times$$ 10$$-$$6) is dissolved in 1.0 L of 0.1 M HCl solution. The degree of dissociation of HA is __________ $$\times$$ 10$$-$$5 (Round off to the Nearest Integer).

[Neglect volume change on adding HA. Assume degree of dissociation <<1 ]
2
JEE Main 2021 (Online) 16th March Morning Shift
Numerical
+4
-1
For the reaction $$A(g) \rightleftharpoons B(g)$$ at 495 K, $$\Delta$$rG$$^\circ$$ = $$-$$9.478 kJ mol$$-$$1.
If we start the reaction in a closed container at 495 K with 22 millimoles of A, the amount of B in the equilibrium mixture is ____________ millimoles.
(Round off to the Nearest Integer). [R = 8.314 J mol$$-$$1 K$$-$$1; ln 10 = 2.303]
3
JEE Main 2021 (Online) 26th February Morning Shift
Numerical
+4
-1
A homogeneous ideal gaseous reaction $$A{B_{2(g)}} \rightleftharpoons {A_{(g)}} + 2{B_{(g)}}$$ is carried out in a 25 litre flask at 27$$^\circ$$C. The initial amount of AB2 was 1 mole and the equilibrium pressure was 1.9 atm. The value of Kp is x $$\times$$ 10$$-$$2. The value of x is _________. (Integer answer)

[R = 0.08206 dm3atm K$$-$$1mol$$-$$1]
4
JEE Main 2021 (Online) 24th February Morning Shift
Numerical
+4
-1
The stepwise formation of $${\left[ {Cu{{\left( {N{H_3}} \right)}_4}} \right]^{2 + }}$$ is given below:

The value of stability constants K1, K2, K3 and K4 are 104, 1.58 x 103, 5 x 102 and 102 respectively.
The overall equilibrium constants for dissociation of $${\left[ {Cu{{\left( {N{H_3}} \right)}_4}} \right]^{2 + }}$$ is x $$\times$$ 10-12.
The value of x is ________. (Rounded off to the nearest integer)