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Chemistry · PYQ NEET UG 2025

हिन्दी

For the reaction \( A(g) \rightleftharpoons 2B(g) \), the backward reaction rate constant is higher than the forward reaction rate constant by a factor of 2500, at \( 1000\text{ K} \). [Given : \( R = 0.0831\text{ L atm mol}^{-1}\text{ K}^{-1} \)] \( K_p \) for the reaction at \( 1000\text{ K} \) is

  1. 83.1
  2. \( 2.077 \times 10^5 \)
  3. 0.033
  4. 0.021

Correct answer · Option 3

0.033

Explanation

Given \( k_b / k_f = 2500 \). Therefore \( K_c = k_f / k_b = 1/2500 = 4 \times 10^{-4} \). Using \( K_p = K_c (RT)^{\Delta n} \) where \( \Delta n = 2 - 1 = 1 \), \( K_p = (4 \times 10^{-4}) \times (0.0831 \times 1000) = 0.0332 \).
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