First slide

Enthalpy of formation

Question

Consider the following reactions
$\begin{aligned} C (s) + O_{2} (g) ⟶ {CO}_{2} (g) + xkJ \\ CO (g) + \frac{1}{2} O_{2} (g) ⟶ {CO}_{2} (g) + ykJ \end{aligned}$
The heat of formation of CO(g) is

Easy

A

-(x+y) kJ/mol
B

(x-y) kJ/mol
C

(y - x) kJ/mol
D

None of these

Solution

$\begin{array}{l} C (s) + O_{2} (g) ⟶ {CO}_{2} (g) \\ Δ_{r} H_{1} = - xkJ / mol . . . . . . . . . . . . . . . . . . . . (1) \\ CO (g) + 1 / 2 O_{2} (g) ⟶ {CO}_{2} (g) \\ Δ_{r} H_{2} = - ykJ / mol . . . . . . . . . . . . . . . . . . . (2) \end{array}$
Equation (1) - (2)
$\begin{aligned} C (s) + \frac{1}{2} O_{2} (g) ⟶ CO (g) \\ Δ_{f} H = (y - x) kJ / mol \end{aligned}$

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