Chapter 10, Problem 10.51PAE

10.51 The combustion of acetylene was used in welder's torches for many years because it produces a very hot flame:

   ${\text{C}}_{\text{2}}{\text{H}}_{\text{2}}\left(\text{g}\right)+\frac{5}{2}{\text{O}}_2(g)\to {\text{2CO}}_{\text{2}}\left(\text{g}\right)+{\text{H}}_{\text{2}}\text{O}\left(\text{g}\right)$

$\Delta \text{H}°$= -1255.5 kJ

(a) Use data in Appendix E to calculate $\Delta \text{S}°$ for this reaction,

(b) Calculate $\Delta \text{G}°$ and show that the reaction is spontaneous at 25°C.

(c) Ls there any temperature range in which this reaction is not spontaneous?

(d) Do you think you could use Equation 10.4 to calculate such a temperature range reliably? Explain your answer.