A) 0.02 and \[3.125\times {{10}^{-4}}\]
B) \[1.25\times {{10}^{-3}}\] and 0.02
C) 0.02 and \[1.25\times {{10}^{-3}}\]
D) 0.02 and \[8.0\times {{10}^{-12}}\]
Correct Answer: C
Solution :
[c] \[{{\alpha }_{1}}=0.005=\sqrt{{{K}_{a}}\times {{C}_{1}}}\] Molarity of diluted solution; \[2\times 1=32\times M,\] \[M=\frac{1}{16}({{C}_{2}})\] \[{{\alpha }_{2}}=\sqrt{\frac{{{K}_{a}}}{{{C}_{2}}}}=0.005\sqrt{16}=0.02\] \[{{H}_{3}}\overset{+}{\mathop{O}}\,={{C}_{2}}{{\alpha }_{2}}=\frac{0.02}{16}=1.25\times {{10}^{-3}}M\]
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