The following data were obtained for the hypothetical reaction 2A + B rightarrow

Question

The following data were obtained for the hypothetical reaction 2A + B rightarrow products. What is the overall order of this reaction? 3 4 0 1 1/2 What is the boiling-point change for a solution containing 0.870 mol of naphthalene (a nonvolatile, nonionizing compound) in 250. G of liquid benzene? (K_b = 2.53 degree C/m for benzene) 0.550 degree C 2.201 degree C 8.80 degree C 2.91 degree C 0.73 degree C A solution consisting of 0.180 mol of methylbenzene, C_6H_5 CH_3, in 249 g of nitrobenzene, C_6H_6HO_2, freezes at 0.9 degree C. Pure nitrobenzene freezes at 6.0 degree C. What is the freezing-point depression constant of nitrobenzene? 3.5 degree C/m 7.0 degree C/m 14.0 degree C/m 28 degree C/m 5.2 degree C/m

Explanation / Answer

This is answer to question No. 28

The reaction is 2A + B --> products

Now we know the rate of a reaction is given by :- k [A]x[B]y

We dont know how the rate depend on the concentration sof reactants.

So Now lets analyse the data given ,

5 = k [0.2]x[0.1]y ....................1 (from column 1)

20 = k [0.2x[0.2]y...............................2 (from column 2)

15 =k [0.6]x[0.1]y ......................................3 (from column 3)

dividing 1 and 2 we get , 1/4 = (1/2)y

So y = 2

Now dividing 1 and 3 we get , 1/3 =(1/3)x

x =1

Now we get the values of x and y , we can now write the rate equation as  k [A][B]2

So order of reaction is equal to sum of the powers of the reactants = x+y =1+2 =3

SO order = 3

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