Question

4) The initial rate of the reaction between substances P and Q was measured in a series of

experiments and the following rate equation was deduced.
rate = k[P]?[Q]
Complete the table of data below for the reaction between P and Q

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Answer 1

The initial rate of the reaction between substances P and Q was measured in a series of

experiments and the following rate equation was deduced.

`rate = k[P]^(2) [Q]`

Complete the table of data below for the reaction between P and Q

Step-by-step explanation:

Given rate of the reaction is:

`rate= k[P]^(2) [Q]\\=>[Q]=(rate)/(k.[P]^(2) ) \\and \\\\\\\ [P]=\sqrt{(rate)/(k.[Q]) }`

Substitute the given values in this formulae to get the [P], [Q] and rate values.

From the first row,

the value of k can be calulated:

`k=(rate)/([P]^(2)[Q] ) \\ =(4.8*10^-3)/((0.2)^(2) 2. (0.30)) \\ =0.4`

Second row:

2. Rate value:

`rate =0.4* (0.10)^(2) * (0.10)\\\\ =4.0*10^-3mol.dm^-3.s^-1`

3.Third row:

`[Q]=(rate)/(k.[P]^(2) ) \\ =9.6*10^-3 / (0.4 *(0.40)^(2) \\ =0.15mol.dm^(-3)`

4. Fourth row:

`[P]=\sqrt{(rate)/(k.[Q]) }\\=>[P]=\sqrt{(19.2*10^-3)/(0.60*0.4) } \\=>[P]=0.283mol.dm^(-3)`