Practice question
Question
The rate constant of a reaction is 1.0 × 10â»Â² s^{-1 at 27°C. If the activation energy is 60 kJ/mol, what is the rate constant at 37°C? (R = 8.314 J/mol · K)
Explanation
Given:
The rate constant of a reaction is 1.0 × 10â»Â² s^{-1 at 27°C. If the activation energy is 60 kJ/mol, what is the rate constant at 37°C? (R = 8.314 J/mol · K)
These values define the system as per NCERT data.
Formula:
log k_2/k_1 = E_a/2.303R ( T_2 - T_1/T_1 T_2 ).
This is the standard NCERT relation for this phenomenon.
Substitution & Calculation:
log frack_21.0 × 10â»Â²= 60000/2.303 × 8.314 ( 10/300 × 310 ) = 0.336 . k_2 = 1.0 × 10â»Â² × __10POWâ‚€__.336 = 2.17 × 10â»Â² s^{-1 .
Result:
The computed value matches the expected outcome and confirms the correct choice. Units and powers like J kgâ»Â¹ Kâ»Â¹, m/s², 10â»âµ are properly used as per NCERT.
Discussion
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