The Kingdom of Chemithia- Part 8

You, King Antimony and a few of the guards sneak into the Alkemian lair, and the door seals up, locking you in. All is dark, and there is no sound to be heard. You proceed down the pitch dark pathway, checking all the doors to see if Princess Selene is trapped behind one of them. Finally, you reach a door with a dim light. You push it open, and see a group of people in camouflage uniforms standing in a circle. You hear a voice; "Bu.. bu.. but... I don't know anything about the conversion! Neither do I know about the Uranium!" That was Princess Selene's voice! King Antimony hears it too, roars like an angry lion, and charges forth.

So much for the element of surprise.

All the Alkemians turn around to see the guards and King Antimony charging forth. They smile, deftly avoid all of the slashes from the enraged soldiers, and grab the chair that Princess Selene is still tied to. Then they all get together, and before King Antimony can pursue, they all leave out of an open metal door in the back of the room, and slam it shut. King Antimony, still furious, pushes the door, but to no avail. You're locked in the Alkemian layer, and Princess Selene is gone.

That's when you come out of your hiding and inspect the room. There is a central area where Selene was held, a table with some camouflage clothing, and a giant gas tank. You see a note on the table. It is signed with the Alkemian seal and the same print as the note in Selene's room.

It says "We know the method now, but we still require the energy. Dearest King Antimony of Chemithia, if you're reading this, it means that you have infiltrated our lair and our specially prepared soldiers have escaped with Selene. We want your royal order to henceforth pay 90% of all pitchblende production to Alkemia in order to return Selene to you. There is a scroll on the other side of the room with a royal decree stating that you will do so from now on. All it needs is your signature."

Sure enough, there is a scroll decreeing 90% of all pitchblende uranium ore mined and refined will be sent to Alkemia.

"Or else," the letter says, "There is a gas tank here that is leaking $N_2O_4$ , Dinitrogen Tetroxide. We will ignite it to make the following reaction take place: $N_2O_4 (l) -^{Δ}->2NO_2$ And we will slightly increase the temperature in the room, the gas will be on fire and you will die of suffocation and burning. Choose wisely. Sincerely, Plumbius Bismuth, Minister of Alkemia."

King Antimony is exploding with rage now. You need to think fast. You know that the internal energy change for the above reaction is $2.1 kcal$ , and the change in entropy is $2 cal$ , at $300K$ , when the gas will burn. You need to quickly figure out if it's a spontaneous reaction. What is the Gibbs Free Energy change (ΔG), in kcal, for this reaction?

[These values of the thermodynamic variables are random and are merely hypothetical]

This question is part of my set Tales of Chemithia ! Give it a try; it's a story woven together by Chemistry problems!