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Question: For the reaction given below the values of standard Gibbs free energy of formation at 298 K are give...

For the reaction given below the values of standard Gibbs free energy of formation at 298 K are given. What is the nature of the reaction?

I2+H2S2HI+SI_{2} + H_{2}S \rightarrow 2HI + S

ΔGfo(HI)=1.8kJmol1,ΔGfo(H2S)=33.8kJmol1\Delta G_{f}^{o}(HI) = 1.8kJmol^{- 1},\Delta G_{f}^{o}(H_{2}S) = 33.8kJmol^{- 1}

A

Non – spontaneous in forward direction

B

Spontaneous in forward direction

C

Spontaneous in backward direction

D

Non – spontaneous in both forward and backward directions.

Answer

Spontaneous in forward direction

Explanation

Solution

: I2+H2S2HI+SI_{2} + H_{2}S \rightarrow 2HI + S

ΔGo=GfoproductsGfoReactants\Delta G^{o} = \sum{G_{f}^{o}}_{products} - \sum{G_{f}^{o}}_{{Re}ac\tan ts}

ΔGo=(2×1.8+0)(0+33.8)=30.2kJ\Delta G^{o} = (2 \times 1.8 + 0) - (0 + 33.8) = - 30.2kJ

Hence, reaction is spontaneous in forward direction.