Q26 / 196 · NTA Abhyas (NEET) 2020 · Chemistry · Chemical Kinetics

Benzene diazonium chloride in aqueous solution decomposes as :
C 6 H 5 - N = N + Cl aq - + H 2 O aq ⟶ C 6 H 5 OH aq + N 2 g + HCl (aq)
The reaction follows first order kinetics. If pt is the pressure of N2 at constant volume and temperature corresponding to different intervals of time t and pf that after completion of the reaction, then which of the following graphs conforms to the kinetics of the reaction ?

  • A
    Figure
  • B
    Figure
  • Correct answer
    C
    Figure
  • D
    Figure

Solution

p f ∝ Initial moles of  C 6 H 5 N 2 + Cl - a p t ∝ Moles of  N 2  evolved at time t ∝ Moles of  C 6 H 5  N 2 + Cl -   reacted

p f - p t ∝  mole of  C 6 H 5 N 2 + Cl -  left at time t (a - x)

kt = 2 . 3 0 3  log  a a - x

kt= 2 . 3 0 3  log  p f p f - p t

kt 2.303 =log P f −log P f − P t

log p f - p t = log  p f - k 2 . 3 0 3 t

Interception y axis = log pf

Slope = - k 2 . 3 0 3

Hence, the correct answer is option: 'C'.

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