question_answer

The free energy change for the following reactions are given below, \[{{C}_{2}}{{H}_{2}}(g)+\frac{5}{2}{{O}_{2}}(g)\to \] \[2C{{O}_{2}}\left( g \right)+{{H}_{2}}O\left( l \right);\Delta G{}^\circ =-1234kJ\] \[C\left( s \right)+{{O}_{2}}\left( g \right)\to C{{O}_{2}}\left( g \right);\text{ }\Delta G{}^\circ =-394kJ\] \[{{H}_{2}}(g)+\frac{1}{2}{{O}_{2}}(g)\to {{H}_{2}}O(l);\Delta {{G}^{{}^\circ }}=-237kJ\] What is the standard free energy change for the reaction \[{{H}_{2}}(g)+2C(s)\xrightarrow{{}}{{C}_{2}}{{H}_{2}}(g)\]

A) \[-209\,kJ\]                    

B) \[-2259\,kJ\]

C) \[+2259\,kJ\]                

D) \[209\,kJ\]