Question

For the decomposition of hydrogen iodide at $127^{\circ} C ,$ the fraction of molecules having energy equal to or greater than activation energy can be given as

• A. $e^{\frac{-E_{a}}{2.303 R}} $
• B. $e^{\frac{-E_{a}}{920 R}}$
• C. $10^{\frac{- E _{ a }}{2.303 R }} $
• D. $10^{\frac{- E _{ a }}{921.2 R }}$

Answer 1

Answer: (D)

Fraction of molecules $= e ^{\frac{- E _{ a }}{ RT }} $

$=\frac{- E _{ a }}{10^{2.303\, RT }} $

$=10^{\frac{- E _{ a }}{2.303 \times \,R\, \times 400}} $

$=10^{\frac{- E _{ a }}{921.2\, R}} $