Which of the following will have same value of vants Hoff factor as th...
K4[Fe(CN)6] → 4K+ + [Fe(CN)6]4-
Al2(SO4)3 → 2Al3+ + 3SO42-
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Which of the following will have same value of vants Hoff factor as th...
Vant Hoff factor (i) is the ratio of the actual number of particles in solution to the number of formula units dissolved. The value of i depends upon the nature of solute and the solvent.
K4[Fe(CN)6] dissociates into four K+ ions and one [Fe(CN)6]4- ion in aqueous solution. Therefore, the value of i for K4[Fe(CN)6] is 5.
Let's analyze the given options one by one:
a) Al2(SO4)3
Al2(SO4)3 dissociates into two Al3+ ions and three SO42- ions in aqueous solution. Therefore, the value of i for Al2(SO4)3 is 5/2, which is not equal to 5. Hence, option A is incorrect.
b) AlCl3
AlCl3 dissociates into one Al3+ ion and three Cl- ions in aqueous solution. Therefore, the value of i for AlCl3 is 4, which is not equal to 5. Hence, option B is incorrect.
c) Al(NO3)3
Al(NO3)3 dissociates into one Al3+ ion and three NO3- ions in aqueous solution. Therefore, the value of i for Al(NO3)3 is 4, which is not equal to 5. Hence, option C is incorrect.
d) Al(OH)3
Al(OH)3 does not dissociate in aqueous solution. Therefore, the value of i for Al(OH)3 is 1, which is not equal to 5. Hence, option D is incorrect.
Therefore, the correct answer is option A, Al2(SO4)3, which dissociates into two Al3+ ions and three SO42- ions in aqueous solution, giving a value of i equal to 5.
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