The following data are obtained for a reaction, X + Y → Products. Expt. [\X_ 0]/\mol [\Y_ 0]/\mol \rate\/\mol \L^{-1}\s^{-1} 1 0.25 0.25 1.0\times10^{-6} 2 0.50 0.25 4.0\times10^{-6} 3 0.25 0.50 8.0\times10^{-6} The overall order of the reaction is

KVPY SX SB Exam 2012 Question Paper

Question : 110 of 120

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The following data are obtained for a reaction, X + Y → Products.

Expt.	$[\X_ 0]/\mol$	$[\Y_ 0]/\mol$	$\rate\/\mol \L^{-1}\s^{-1}$
1	0.25	0.25	$1.0×10^{-6}$
2	0.50	0.25	$4.0×10^{-6}$
3	0.25	0.50	$8.0×10^{-6}$

The overall order of the reaction is

Solution:

r =K[X]^x [Y]^y

Total order = n = x + y
By exp.(1) & (2)

r_1/r_2={K[0.25]^x[0.25]^y}/{K[0.50]^x[0.25]^y}

={1.0×10^{-6}}/{4.0×10^{-6}}

1/2^x=1/4⇒x=2

By exp.(1) & (3)

r_1/r_3={K[0.25]^x[0.25]^y}/{K[0.25]^x[0.50]^y}

={1.0×10^{-6}}/{8.0×10^{-6}}

1/2^y=1/8⇒y=3

So Total order = 2 + 3 = 5

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