Q43 / 196 · NTA Abhyas (NEET) 2020 · Chemistry · Chemical Kinetics

The given data are for the reaction
2NO(g)+Cl(g)→2NOCl(g) at 298 K
 
[Cl2]
[NO]
Initial rate (mol L-1sec-1 )

I
0.05 M
0.05 M
1×10-3

II
0.15 M
0.05 M
3×10-3

III
0.05 M
0.15 M
9×10-3

The rate law of the reaction is

  • A
    rate =k[NO][Cl2]
  • Correct answer
    B
    rate =k[Cl2][NO]2
  • C
    rate =k[Cl2]2[NO]
  • D
    rate =k[Cl2]

Solution

1×10-3=k[0.05]α[0.05]β …(i)
3×10-3=k[0.15]α[0.05]β …(ii)
9×10-3=k[0.05]α[0.15]β …(iii)
From (i) and (ii), α=1
and from (i) and (iii), β=2
So rate =k[NO]2[Cl2]1 .

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

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