40% of HI undergoes decomposition to H₂ and I₂ at 300 K. $$\Delta$$G$$^\Theta $$ for this decomposition reaction at one atmosphere pressure is __________ J mol^$$-$$1. [nearest integer]

(Use R = 8.31 J K^$$-$$1 mol^$$-$$1 ; log 2 = 0.3010, ln 10 = 2.3, log 3 = 0.477)

The standard free energy change ($$\Delta$$G$$^\circ$$) for 50% dissociation of N₂O₄ into NO₂ at 27$$^\circ$$C and 1 atm pressure is $$-$$ x J mol^$$-$$1. The value of x is ___________. (Nearest Integer)

[Given : R = 8.31 J K^$$-$$1 mol^$$-$$1, log 1.33 = 0.1239 ln 10 = 2.3]

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 K_p 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)

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]