Answer : The two spontaneous chemical reactions are:
[tex]C_6H_{13}O_9P+ATP\rightarrow C_6H_{14}O_{12}P_2+ADP,\Delta G=-14.2kJ/mol[/tex]
[tex]C_2H_4+H_2\overset{Rh(I)}\rightarrow C_2H_6,\Delta G=-150.97kJ/mol[/tex]
Explanation :
Gibbs free energy : It is defined as the amount of energy that is available to do useful work.
A reaction to be spontaneous when [tex]\Delta G<0[/tex]
A reaction to be non-spontaneous when [tex]\Delta G>0[/tex]
For the reaction to be spontaneous, the Gibbs free energy of the reaction [tex]\Delta G[/tex] is negative or we can say that the value of [tex]\Delta G[/tex] is less than zero.
From the given chemical reactions we conclude that there are two reactions that are spontaneous (favorable).
The two spontaneous chemical reactions are:
[tex]C_6H_{13}O_9P+ATP\rightarrow C_6H_{14}O_{12}P_2+ADP,\Delta G=-14.2kJ/mol[/tex]
[tex]C_2H_4+H_2\overset{Rh(I)}\rightarrow C_2H_6,\Delta G=-150.97kJ/mol[/tex]