Practice question
Question
The rate constant of a reaction is 3.0 × 10â»Â³ s^{-1 at 25°C and E_a = 62 kJ mol^{-1 . What is the rate constant at 35°C? (R = 8.314 J/mol · K)
Explanation
Given:
The rate constant of a reaction is 3.0 × 10â»Â³ s^{-1 at 25°C and E_a = 62 kJ mol^{-1 . What is the rate constant at 35°C? (R = 8.314 J/mol · K)
These values define the system as per NCERT data.
Formula:
log frack_23.0 × 10â»Â³= 62000/2.303 × 8.314 ( 10/298 × 308 ) = 0.352.
This is the standard NCERT relation for this phenomenon.
Substitution & Calculation:
k_2 = 3.0 × 10â»Â³ × __10POWâ‚€__.352 = 6.75 × 10â»Â³ approx 6.8 × 10â»Â³.
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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