Dear student,

We have the reaction as:-

2A(g) + B(g) = 2D(g)

The U° is given as 10.5 KJ

And S° is given as 44.10 J/K = 44000 KJ/K

Now, ng = (n)products - (n) reactants = 2 - (2+1) = -1

Now, H° = U°+ ng( RT )

Therefore H° = 8.053 KJ  ( take R = .00834 Kj/kmol and T = 298K ).

Now, G° = H° - TS°

Therefore after putting all the values of H°, T and S° and solving we get :-

G° = -5.059 KJ

So, as G° comes as negative then your reaction will be spontaneous.

Note - Generally spontaneity of a reaction is checked by G, but here since nothing is given so we have used G° as a reference to predict the spontaneity of the reaction