Calculate the standard free energy change for the formation of methane at 298 K- Cgraphite -2 H 2 g - CH 4 g Given that- - of CH 4-74-81 KJ mol -1 and - S - of C graphite - H 2 g and CH 4 g are 5-70 K -1 mol -1- and 186-3 J K -1 mol -1respectively-A- 50-9 KJmol -1B- 50-7 K Jmol -1- 49-9 KJmol -1D- 51-6 K Jmol -1

The correct option is B Let us consider values of Δ _fH^∘ and S^∘ C_(graphite) H_2(g) CH_4(g) Δ _rH^∘/KJmol^ 1 0 ...

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Molar and Specific Heat Capacity

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Question

Calculate the standard free energy change for the formation of methane at 298 K. $C_{(g r a p h i t e)} + 2 H_{2 (g)} \to C H_{4 (g)}$
Given that, $Δ o f C H_{4} = - 74.81 K J m o l^{- 1}$ and $Δ S^{\circ} o f C_{g r a p h i t e}, H_{2 (g)} a n d C H_{4 (g)} a r e 5.70 K^{- 1} m o l^{- 1}, a n d 186.3 J K^{- 1} m o l^{- 1}$ respectively.

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C_{(g r a p h i t e} + O_{2} (g) \to C O_{2} (g); Δ_{r} H^{o} = - 393.5 k J m o l^{- 1}

H_{2} (g) + \frac{1}{2} O_{2} (g) \to H_{2} O (l); Δ_{r} H^{o} = - 285.8 k J m o l^{- 1}

C O_{2} (g) + 2 H_{2} O (l) \to C H_{4} (g) + 2 O_{2} (g); Δ^{r} H 6 o = + 890.3 k J m o l^{- 1}

D e l t a_{r} H^{o}

298 K

C_{(g r a p h i t e)} + 2 H_{2} (g) \to C H_{4} (g)

C_{(g r a p h i t e)} + O_{2} (g) \to C O_{2} (g); Δ_{r} H^{o} = - 393.5 k J m o l^{- 1}

H_{2} (g) + \frac{1}{2} O_{2} (g) \to H_{2} O (l); Δ_{r} H^{o} = - 285.8 k J m o l^{- 1}

C O_{2} (g) + 2 H_{2} O (l) \to C H_{4} (g) + 2 O_{2} (g); Δ_{r} H^{o} = + 890.3 k J m o l^{- 1}

Δ_{r} H^{o}

298 K

C_{(g r a p h i t e)} + 2 H_{2} (g) \to C H_{4} (g)

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

Δ_{r} H^{\circ} = - 393.5 k J m o l^{- 1}

H_{2} (g) + \frac{1}{2} O_{2} (g) \to H_{2} O (l);

Δ_{r} H^{\circ} = - 285.8 k J m o l^{- 2}

C O_{2} (g + 2 H_{2} O (l) \to C H_{4} (g) + 2 O_{2} (g)

Δ_{r} H^{\circ} = + 890.3 k J m o l^{- 1}

Δ_{r} H^{\circ}

C_{(g r a p h i t e)} + 2 H_{2} (g) \to C H_{4} (g)

C_{3} H_{8} (g) + H_{2} (g) ⟶ C_{2} H_{6} (g) + C H_{4} (g)

25^{\circ} C

C_{3} H_{8} (g)

- 103.8 k J m o l^{- 1}

Compound:	$H_{2} (g)$	$C H_{4} (g)$	$C_{2} H_{6} (g)$	$C (g r a p h i t e)$
$Δ H^{⊖} (k J m o l^{- 1}) :$	$- 285.8$	$- 890.0$	$- 1560.0$	$- 393.5$

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

Δ_{f} H^{\circ} = - 393.5 k J m o l^{- 1}

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

Δ_{f} H^{\circ} = - 285.8 k J m o l^{- 1}

C O_{2} (g) + 2 H_{2} O (l) \to C H_{4} (g) + 2 O_{2} (g)

Δ_{f} H^{\circ} = + 890.3 k J m o l^{- 1}

Δ_{f} H^{\circ}

C_{(g r a p h i t e)} + 2 H_{2} (g) \to C H_{4} (g)

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