If benzoic acid dimerizes to 60% in benzene then van't hoff factor (i) will be
Answers
Answer:
The Van't Hoff factor will be, 0.7
Solution : Given,
Degree of association of benzoic acid = \alphaα = 60% = 0.60
The equilibrium reaction will be,
2C_6H_5COOH\rightleftharpoons (C_6H_5COOH)_22C
6
H
5
COOH⇌(C
6
H
5
COOH)
2
Initial moles 1 0
After association (1-\alpha)(1−α) (\frac{\alpha}{2})(
2
α
)
The total number of moles after association = 1-\alpha+\frac{\alpha}{2}=1-\frac{\alpha}{2}1−α+
2
α
=1−
2
α
Formula of Van't Hoff factor :
i=\frac{\text{Calculated moles}}{\text{Theoretical moles}}i=
Theoretical moles
Calculated moles
i=\frac{\frac{\alpha}{2}}{1}=\frac{\frac{0.60}{2}}{1}=0.7i=
1
2
α
=
1
2
0.60
=0.7
Therefore, the Van't Hoff factor will be, 0.7
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