1
JEE Main 2022 (Online) 24th June Evening Shift
Numerical
+4
-1

PCl5 dissociates as

PCl5(g) $$\rightleftharpoons$$ PCl3(g) + Cl2(g)

5 moles of PCl5 are placed in a 200 litre vessel which contains 2 moles of N2 and is maintained at 600 K. The equilibrium pressure is 2.46 atm. The equilibrium constant Kp for the dissociation of PCl5 is __________ $$\times$$ 10$$-$$3. (nearest integer)

(Given : R = 0.082 L atm K$$-$$1 mol$$-$$1; Assume ideal gas behaviour)

2
JEE Main 2022 (Online) 24th June Morning Shift
Numerical
+4
-1

2O3(g) $$\rightleftharpoons$$ 3O2(g)

At 300 K, ozone is fifty percent dissociated. The standard free energy change at this temperature and 1 atm pressure is ($$-$$) ____________ J mol$$-$$1. (Nearest integer)

[Given : ln 1.35 = 0.3 and R = 8.3 J K$$-$$1 mol$$-$$1]

3
JEE Main 2021 (Online) 1st September Evening Shift
Numerical
+4
-1
The molar solubility of Zn(OH)2 in 0.1 M NaOH solution is x $$\times$$ 10$$-$$18 M. The value of x is _________ (Nearest integer)

(Given : The solubility product of Zn(OH)2 is 2 $$\times$$ 10$$-$$20)
4
JEE Main 2021 (Online) 31st August Evening Shift
Numerical
+4
-1
1.22 g of an organic acid is separately dissolved in 100 g of benzene (Kb = 2.6 K kg mol$$-$$1) and 100 g of acetone (Kb = 1.7 K kg mol$$-$$1). The acid is known to dimerize in benzene but remain as a monomer in acetone. The boiling point of the solution in acetone increases by 0.17$$^\circ$$C. The increase in boiling point of solution in benzene in $$^\circ$$C is x $$\times$$ 10$$-$$2. The value of x is ______________. (Nearest integer) [Atomic mass : C = 12.0, H = 1.0, O =16.0]
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