Consider the reaction $2$ PbO$($s$)+$ N$2($g$)->2$ Pb$($s$)+2$ NO$($g$)$

a$)$ Predict the sign of $\backslash$Delta S$\backslash$deg for this reaction and explain your reasoning.

b$)$ Calculate $\backslash$Delta S$\backslash$deg from standard molar entropy values given. Was your prediction correct?

c$)\backslash$Delta H$\backslash$deg for this reaction is $+615\mathrm{.}3$ kJ at $298$ K$.$ Use this value and the value of $\backslash$Delta S$\backslash$deg you found above to determine $\backslash$Delta G$\backslash$deg and state whether the reaction is spontaneous at this temperature. Substance So at $298$ K $($J$/$K$)$

PbO$($s$)70$

N$2($g$)150$

Pb$($s$)72$

NO$($g$)215$