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BITSAT Chemistry Electrochemistry 2023 BITSAT 2023 (Memory Based Paper 1)

BITSAT Chemistry Question (2023) — Solution

Question

The conductivity of a weak acid HA of concentration 0.001 ~mol ~L ^ -1 is 2.0 10^ -5 ~S ~cm ^ -1 . If _ m ^ ( HA )=190 ~S ~cm ^2 ~mol ^ -1 , the ionization constant ( K _ a ) of HA is equal to _______ x 10^ -6 .

Options

  1. A. 24
  2. B. 48
  3. C. 12
  4. D. 45

Answer

C. 12

Step-by-step solution

_ m =1000 K M =1000 2 10^ -5 0.001 =20 ~S ~cm ^2 ~mol ^ -1 = _ m _ m ^ = 20 190 = ( 2 19 ) 0.001(1- ) HA 0.001 H ^ + + 0.001 A ^ - K_ a =0.001 ( ^2 1- )= 0.001 ( 2 19 )^2 1- ( 2 19 ) =12.3 10^ -6

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