Which one of the following electrolytes has the same value of van't Hoff's factor (i) as that of the Hoff's factor (i) as that of the Al 2( SO 4)3 (if all are 100 % ionised)?

Question

Which one of the following electrolytes has the same value of van't Hoff's factor (i) as that of the Hoff's factor (i) as that of the Al 2( SO 4)3 (if all are 100 % ionised)? (A) K2SO4 (B) K 3[ Fe ( CN )6] (C) K 4[ Fe ( CN )6] (D) Al ( NO 3)3

Tardigrade Admin · Accepted Answer

van't Hoff factor of Al 2( SO 4)3 arrow 2 Al +3+3 SO 4-2 So n=5 K 4[ Fe ( CN )6] arrow 4 K ++[ Fe ( CN )6]-4 So n =5 As α=100 %=1 i=n=5 ln K 2 SO 4 i =2, In K 3[ Fe ( CN )6] i =4, In Al ( NO 3)3 i =4

Q. Which one of the following electrolytes has the same value of van't Hoff's factor (i) as that of the Hoff's factor (i) as that of the $A l_{2} (S O_{4})_{3}$ (if all are $100%$ ionised)?

$K_{2} S O_{4}$

$K_{3} [F e (CN)_{6}]$

$K_{4} [F e (CN)_{6}]$

$A l (N O_{3})_{3}$

van't Hoff factor of $A l_{2} (S O_{4})_{3} \to 2 A l^{+ 3} + 3 S O_{4}^{- 2}$

So $n = 5$ $K_{4} [F e (CN)_{6}] \to 4 K^{+} + [F e (CN)_{6}]^{- 4}$

So $n = 5$

As $α = 100% = 1$

$i = n = 5$

$ln K_{2} S O_{4} i = 2$ , In $K_{3} [F e (CN)_{6}] i = 4,$ In $A l (N O_{3})_{3} i = 4$

Q. Which one of the following electrolytes has the same value of van't Hoff's factor (i) as that of the Hoff's factor (i) as that of the Al2​(SO4​)3​ (if all are 100% ionised)?

K2​SO4​

K3​[Fe(CN)6​]

K4​[Fe(CN)6​]

Al(NO3​)3​