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JEE Main 202311 AprilEvening Shift
Exam
JEE Main
Year
2023
Date
11 April
Shift
Evening Shift
Subject
Chemistry
Chapter
Chemical Kinetics

JEE Main 2023 · 11 April · Evening Shift · Chemistry · Chemical Kinetics

For a chemical reaction A + B → Product, the order is 1 with...

For a chemical reaction A+B→A + B \to Product, the order is 11 with respect to AA and BB.
Rate
molL−1S−1mol{L}^{- 1}{S}^{- 1}
[A]
molL−1mol{L}^{- 1}
[B]
molL−1mol{L}^{- 1}
0.100 . 10 2020 0.50 . 5
0.400 . 40 xx 0.50 . 5
0.800 . 80 4040 yy

What is the value of xx and yy?

Options

  1. A160160 and 44
  2. B8080 and 44
  3. C8080 and 22
  4. D4040 and 44

Correct answer

C. 8080 and 22

Step-by-step solution

To determine the values of x and y, we can use the information provided and the rate expression for the given reaction, which is first order with respect to both A and B:

Rate r=K[A]1[B]1r = K [ A{]}^{1} [ B{]}^{1}

0.1=K(20)1(0.5)1…(i)0.40=K(x)1(0.5)1…(ii)0.80=K(40)1(y)1…(iii)0 . 1 = K ( 20{)}^{1} ( 0 . 5{)}^{1} \ldots ( i ) 0 . 40 = K ( x{)}^{1} ( 0 . 5{)}^{1} \ldots ( ii ) 0 . 80 = K ( 40{)}^{1} ( y{)}^{1} \ldots ( iii )

From (i) and (ii)

x=80x = 80

From (i) and (iii)

y=2y = 2

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