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Starting with one mole of a compound A it is found that the reaction is 3/4th complete in one hour. If the reaction is first order, the rate constant is:
  • a)
    2.31 min–1
  • b)
    231 min–1
  • c)
    0231 min–1
  • d)
    00231 min–1
Correct answer is option 'C'. Can you explain this answer?
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Starting with one mole of a compound A it is found that the reaction i...
First draw a Lewis structure of each molecule, then consider the hybridization of the atoms other than H. For hybridization, see pp. 28-30.
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Starting with one mole of a compound A it is found that the reaction i...
Understanding the Reaction Completion
Starting with one mole of compound A, the reaction is 3/4th complete in one hour. This means that 0.75 moles of A have reacted, leaving 0.25 moles unreacted.
Calculating the Remaining Concentration
- Initial concentration of A = 1 mole
- Concentration after 1 hour = 1 - 0.75 = 0.25 moles
Rate Law for First-Order Reactions
For a first-order reaction, the rate law is given by:
- Rate = k[A]
The integrated rate equation is:
- ln([A]₀ / [A]) = kt
Where:
- [A]₀ = initial concentration
- [A] = concentration at time t
- k = rate constant
- t = time in appropriate units
Substituting the Values
- [A]₀ = 1 mole
- [A] after 1 hour = 0.25 moles
- t = 1 hour = 60 minutes
Now substituting into the equation:
- ln(1 / 0.25) = k * 60
Calculating the Logarithm
- ln(4) = k * 60
- ln(4) ≈ 1.386
Now, solving for k:
- k = 1.386 / 60 ≈ 0.0231 min⁻¹
Conclusion
Thus, the rate constant k is approximately 0.0231 min⁻¹, which corresponds to option 'C'.
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Starting with one mole of a compound A it is found that the reaction i...
Answer is c 
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Starting with one mole of a compound A it is found that the reaction is 3/4th complete in one hour. If the reaction is first order, the rate constant is:a)2.31 min–1b)231 min–1c)0231 min–1d)00231 min–1Correct answer is option 'C'. Can you explain this answer?
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