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Heat of Reaction

Given that:C ...

Question

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?

z = x + 2 y

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z = x - y

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z = x + y

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2 z = x - y

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Solution

The correct option is B $z = x - y$
$C (g r a p h i t e) + O_{2} (g) \to C O_{2} (g) Δ H = x k J m o l^{- 1}$

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

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

We can cleary see, eq.1 = eq.2 +eq.3
so, $x = y + z$
which means,
$z = x - y$

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Similar questions

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 (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}

C

+ O_{2} (g) \to C O_{2} (g)

Δ_{r} H^{o} = x k J m o l^{- 1}

C

+ \frac{1}{2} O_{2} (g) \to C O (g)

Δ_{r} H^{o} = y k J m o l^{- 1}

C O (g) + \frac{1}{2} O_{2} (g) \to C O_{2} (g)

Δ_{r} H^{o} = z k J m o l^{- 1}

(i) C_{(g r a p h i t e)} + O_{2 (g)} \to C O_{2 (g)}; △_{r} H^{\circ} = x K J m o l^{- 1} (i i) C_{(g r a p h i t e)} + \frac{1}{2} O_{2 (g)} \to C O_{(g)}; △_{r} H^{\circ} = y K J m o l^{- 1} (i i i) C O_{(g)} + \frac{1}{2} O_{2 (g)} \to C O_{2 (g)}; △_{r} H^{\circ} = z K J m o l^{- 1}

Δ H_{t}

C (g r a p h i t e) + O_{2} (g) \to C O_{2} (g)

Δ H = x k J

C (d i a m o n d) + O_{2} (g) \to C O_{2} (g)

Δ H = y k J

$C_{g r a p h i t e} + O_{2} (g) \to C O_{2} (g)$

$Δ H = - 94.05 k c a l m o l^{- 1}$

$C_{d i a m o n d} + O_{2} (g) \to C O_{2} (g); Δ H = - 94.50 k c a l m o l^{- 1}$ therefore

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