For the reaction, 2NO₂(g) $$\rightleftharpoons$$ N₂O₄(g), when $$\Delta$$S = $$-$$176.0 JK^$$-$$1 and $$\Delta$$H = $$-$$57.8 kJ mol^$$-$$1, the magnitude of $$\Delta$$G at 298 K for the reaction is ___________ kJ mol^$$-$$1. (Nearest integer)

Two flasks I and II shown below are connected by a valve of negligible volume.


When the valve is opened, the final pressure of the system in bar is x $$\times$$ 10^$$-$$2. The value of x is __________. (Integer answer)

[Assume - Ideal gas; 1 bar = 10⁵ Pa; Molar mass of N₂ = 28.0 g mol^$$-$$1; R = 8.31 J mol^$$-$$1 K^$$-$$1]

Data given for the following reaction is as follows :

FeO_(s) + C_(graphite) $$\to$$ Fe_(s) + CO_(g)

Substance	$$\Delta H^\circ $$ (kJ mol$$^{ - 1}$$)	$$\Delta S^\circ $$ (J mol$$^{ - 1}$$ K$$^{ - 1}$$)
$$Fe{O_{(s)}}$$	$$ - 266.3$$	57.49
$${C_{(graphite)}}$$	0	5.74
$$F{e_{(s)}}$$	0	27.28
$$C{O_{(g)}}$$	$$ - 110.5$$	197.6

The minimum temperature in K at which the reaction becomes spontaneous is ___________. (Integer answer)

200 mL of 0.2 M HCl is mixed with 300 mL of 0.1 M NaOH. The molar heat of neutralization of this reaction is $$-$$57.1 kJ. The increase in temperature in $$^\circ$$C of the system on mixing is x $$\times$$ 10^$$-$$2. The value of x is ___________. (Nearest integer)

[Given : Specific heat of water = 4.18 J g^$$-$$1 K^$$-$$1, Density of water = 1.00 g cm^$$-$$3]

[Assume no volume change on mixing)