Chapter 4, Problem 4.25P

Develop a general equation for the standard heat of reaction as a function of temperature for one of the reactions given in parts (a), (b), (e), (f), (g), (h), (j), (k), (l), (m), (n), (o), (r), (t), (u), (v ), (w), (x), (y)and (z) of Prob. 4.23.
4.23. Determine the standard heat of each of the following reactions at 25°C

$\begin{array}{l}\left(a\right)N_2\left(g\right)+3H_2\left(g\right)\to 2N{H}_3\left(g\right)\\ \left(b\right)4N{H}_3\left(g\right)+5O_2\left(g\right)\to 4NO\left(g\right)+6H_{2}O\left(g\right)\\ \left(c\right)3N{O}_2\left(g\right)+H_{2}O\left(l\right)\to 2HN{O}_3\left(l\right)+NO\left(g\right)\\ \left(d\right)Ca{C}_2\left(s\right)+H_{2}O\left(l\right)\to C_2{H}_2\left(g\right)+CaO\left(g\right)\\ \left(e\right)2Na\left(s\right)+2H_{2}O\left(g\right)\to 2NaOH\left(s\right)+H_2\left(g\right)\\ \left(f\right)6N{O}_2\left(g\right)+8N{H}_3\left(g\right)\to 7N_2\left(g\right)+12H_{2}O\left(g\right)\end{array}$

$\begin{array}{l}\left(g\right)C_2{H}_4\left(g\right)+\frac{1}{2}{O}_2\left(g\right)\to 〈{\left(C{H}_2\right)}_2〉O\left(g\right)\\ \left(h\right)C_2{H}_4\left(g\right)+H_2{O}_2\left(g\right)\to 〈{\left(C{H}_2\right)}_2〉O\left(g\right)\\ \left(i\right)C{H}_4\left(g\right)+2H_{2}O\left(g\right)\to C{O}_2\left(g\right)+4H_2\left(g\right)\end{array}$ $\begin{array}{l}\left(j\right)C{O}_2\left(g\right)+3H_{2}O\left(g\right)\to C{H}_{3}OH\left(g\right)+H_{2}O\left(g\right)\\ \left(k\right)C{H}_{3}OH\left(g\right)+\frac{1}{2}{O}_2\left(g\right)\to HCHO\left(g\right)+H_{2}O\left(g\right)\\ \left(l\right)2H_{2}S\left(g\right)+3O_2\left(g\right)\to 2H_{2}O\left(g\right)+2S{O}_2\left(g\right)\\ \left(m\right)H_{2}S\left(g\right)+2H_{2}O\left(g\right)\to 3H_2\left(g\right)+S{O}_2\left(g\right)\\ \left(n\right)N_2\left(g\right)+O_2\left(g\right)\to 2NO\left(g\right)\end{array}$

$\begin{array}{l}\left(o\right)CaC{O}_3\left(s\right)\to CaO\left(s\right)+C{O}_2\left(g\right)\\ \left(p\right)\text{}S{O}_3\left(g\right)+H_{2}O\left(l\right)\to H_{2}S{O}_4\left(l\right)\\ \left(q\right)C_2{H}_4\left(g\right)+H_{2}O\left(l\right)\to C_2{H}_{5}OH\left(l\right)\\ \left(r\right)C{H}_{3}CHO\left(g\right)+H_2\left(g\right)\to C_2{H}_{5}OH\left(g\right)\end{array}$

$\begin{array}{l}\left(s\right)C_2{H}_{5}OH\left(l\right)+O_2\left(g\right)\to C{H}_{3}COOH\left(l\right)+H_{2}O\left(l\right)\\ \left(t\right)C_2{H}_{5}CH:C{H}_2\left(g\right)\to C{H}_2:CHCH:C{H}_2\left(g\right)+H_2\left(g\right)\\ \left(u\right)C_4{H}_{10}\left(g\right)+\frac{1}{2}{O}_2\left(g\right)\to C{H}_2:CHCH:C{H}_2\left(g\right)+H_{2}O\left(g\right)\end{array}$

$\begin{array}{l}\left(v\right)C_2{H}_{5}CH:C{H}_2\left(g\right)+\frac{1}{2}{O}_2\left(g\right)\to C{H}_2:CHCH:C{H}_2\left(g\right)+H_{2}O\left(g\right)\\ \left(w\right)4N{H}_3\left(g\right)+6NO\left(g\right)\to 6H_{2}O\left(g\right)+5N_2\left(g\right)\\ \left(x\right)N_2\left(g\right)+C_2{H}_2\left(g\right)\to C_6{H}_{5}CH:C{H}_2\left(g\right)+H_2\left(g\right)\\ \left(y\right)C_6{H}_5{C}_2{H}_5\left(g\right)\to C_6{H}_{5}CH:C{H}_2\left(g\right)+H_2\left(g\right)\\ \left(z\right)C\left(s\right)+H_{2}O\left(l\right)\to H_2\left(g\right)+CO\left(g\right)\end{array}$