Determine the value of the rate constant for the elementary reaction: I₂ (g)+H₂ (g)→2HI (aq)Given that when [I₂] is 0.15 M and [H₂] is 0.2M, the rate of reaction is 0.005 M s⁻¹ at 298 K.
Options:
(a) 1.06 M⁻¹s⁻¹
(b) 2.16 M⁻¹s⁻¹
(c) 3.16 M⁻¹s⁻¹
(d) 0.166 M⁻¹s⁻¹
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Answer:
(B) IS CORRECT.......
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Given info : the elementary reaction: I₂ (g)+H₂ (g)→2HI (aq)
Where [I₂] is 0.15 M and [H₂] is 0.2M, the rate of reaction is 0.005 M s⁻¹ at 298 K.
To find : value of rate constant for the given reaction.
solution : rate of reaction, r = k[I₂][H₂]
Here given, r = 0.005 Ms¯¹ , [I₂] = 0.15M , [H₂] = 0.2M
so, 0.005 Ms¯¹= k × 0.15 M × 0.2 M
⇒0.005 = k × 0.03
⇒k = 0.5/3 = 0.166 M¯¹s¯¹
Therefore the rate constant of given reaction is 0.166 M¯¹s¯¹ .i.e., option (d) is correct choice.
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