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H\(_2\)(g) + Br\(_2\)(g) → 2HBr(g) The above reaction is carried out at 25\(^0\)C. ΔH is...

Chemistry
JAMB 2006

H\(_2\)(g) + Br\(_2\)(g) → 2HBr(g)
The above reaction is carried out at 25\(^0\)C. ΔH is -72 kJ mol-1 and ΔS is - 106 J mol-1K-1, the reaction will?

  • A. not proceed spontaneously at the given
  • B. proceed spontaneously at the given temperature
  • C. proceed in the reverse direction at the given temperature
  • D. proceed spontenously at lower temperature
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Correct Answer: Option B
Explanation

For a reaction to be spontaneous, ∆G = - ve; ∆H = - ve; ∆S = + ve

 Where ∆G = ∆H - T∆S

Given data; ∆G = ?

∆H = - 72KJ/mol, 

T = (25+273)K = 298K

∆S = -106J/mol or - 0.106KJ/mol/K

: ∆G = -72 -(298 * -  0.106)

= - 72 + 31.588

∆G = - 40.412KJ/mol

One of the condition for spontaneity of a reaction is ∆G to be negative.

There is an explanation video available below.


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Explanation Video

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