On the basis of theromochemical equations( 1), (2) and (3), find out which of the algebraic relationships given in options (a) to (d) is correct
$1. C (g r a p h i t e) + O_{2} (g) \to C O_{2} (g); Δ_{r} H = x k J m o l^{- 1} 2. C (g r a p h i t e) + \frac{1}{2} O_{2} (g) \to C O (g); Δ_{r} H = y k J m o l^{- 1} 3. C O (g) + \frac{1}{2} O_{2} (g) \to C O_{2} (g); Δ_{r} H = z k J m o l^{- 1}$
(a) z = x + y
(b) x =y - z
(c) x =y + z
(d) y =22 - x

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Solution

(c)

The algebraic relationships of the given reaction is equation (a) -equation (b) = equation (c)
$\frac{\begin{matrix} (a) C (g r a p h i t e) + O_{2} (g) \to C O_{2} (g); Δ_{r} H = x k J m o l^{- 1} (b) C (g r a p h i t e) + \frac{1}{2} O_{2} (g) \to C O (g); Δ_{r} H = y k J m o l^{- 1} \end{matrix}}{C O (g) + \frac{1}{2} O_{2} (g) \to C O_{2} (g); Δ_{r} H = y k j m o l^{- 1}}$
Hence, x- y= z or x= y+ z

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Similar questions

Q. Given that:

C (g r a p h i t e) + O_{2} (g) \to C O_{2} (g) Δ H = x k J m o l^{- 1}

C (g r a p h i t e) + \frac{1}{2} O_{2} (g) \to C O_{2} (g) Δ H = y k J m o l^{- 1}

C O (g) + \frac{1}{2} O_{2} (g) \to C O_{2} (g) Δ H = z k J m o l^{- 1}

Based on the given thermochemical equations, find out which one of the following algebric relationships is correct?

Consider the reactions given below. On the basis of these reactions find out which of the algebraic relationship given in options (a) to (d) is correct?
$1. C (g) + 4 H (g) \to C H_{4} (g); Δ_{r} H = x k J m o l^{- 1} 2. C (g r a p h i t e) + 2 h_{2} (g) \to C H_{4} (g); Δ_{r} H = y k J m o l^{- 1}$
(a) x = y
(b) x = 2y
(c) x > y
(d) x < y