The entropy $(S^{o})$ of the following substances are:
$C H_{4} (g) = 186.2 J K^{- 1} m o l^{- 1}$
$O_{2} (g) = 205.0 J K^{- 1} m o l^{- 1}$
$C O_{2} (g) = 213.6 J K^{- 1} m o l^{- 1}$
$H_{2} O (l) = 69.9 J K^{- 1} m o l^{- 1}$
The entropy change $(Δ S^{o})$ for the reaction $C H_{4} (g) + 2 O_{2} (g) \to C O_{2} (g) + 2 H_{2} O (l)$ is:

- 312.5 J K^{- 1} m o l^{- 1}

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- 242.8 J K^{- 1} m o l^{- 1}

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- 108.1 J K^{- 1} m o l^{- 1}

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- 37.6 J K^{- 1} m o l^{- 1}

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Solution

The correct option is C $- 242.8 J K^{- 1} m o l^{- 1}$
Given:
$C H_{4} (g) = 186.2 J K^{- 1} m o l^{- 1}$
$O_{2} (g) = 205.0 J K^{- 1} m o l^{- 1}$
$C O_{2} (g) = 213.6 J K^{- 1} m o l^{- 1}$
$H_{2} O (l) = 69.9 J K^{- 1} m o l^{- 1}$

The entropy change $(Δ S^{o})$ for the reaction $C H_{4} (g) + 2 O_{2} (g) \to C O_{2} (g) + 2 H_{2} O (l)$

Entropy of a reaction $=$ entropy of products $-$ entropy of reactants
Here, entropy change, $Δ S = (213.6 + 2 \times 69.9) - (186.2 + 2 \times 205) = - 242.8 J K^{- 1} m o l^{- 1}$

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Similar questions

Calculate the change in entropy for the following reaction
$2 C O (g) + O_{2} (g) \to 2 C O_{2} (g)$ .
Given $S_{C O_{2}}^{0} = 213.6 J K^{- 1} m o l^{- 1}$ , $S_{C O}^{0} = 297.6 J K^{- 1} m o l^{- 1}$ respectively.

Q. Calculate

△ G^{o}

for the following reaction:

C O (g) + (\frac{1}{2}) O_{2} (g) \to C O_{2} (g); △ H^{o} = - 282.84 k J / m o l

Given,

S_{C O_{2}}^{o} = 213.8 J K^{- 1} m o l^{- 1}, S_{C O (g)}^{o} = 197.9 J K^{- 1} m o l^{- 1}, S_{O_{2}}^{o} = 205.0 J K^{- 1} m o l^{- 1}

If S⁰ for H₂, Cl₂ and HCL are 0.13, 0.22 and 0.19 kJK^-1mol^-1 respectively. The total change in standard entropy for th2e reaction, H₂+Cl₂→2HCl

Q. At 373 K, steam and water are in equilibrium and

△_{v a p} H = 40.98 k J m o l^{- 1} .

What will be entropy change for conversion of water into steam?

H_{2} O_{(l)} \to H_{2} O_{(g)}

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The entropy (So) of the following substances are:CH4(g)=186.2 JK−1mol−1O2(g)=205.0 JK−1mol−1CO2(g)=213.6 JK−1mol−1H2O(l)=69.9 JK−1mol−1The entropy change (ΔSo) for the reaction CH4(g)+2O2(g)→CO2(g)+2H2O(l) is: