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What volume of $0.40 \ M$ cyanate must be added to $100. \ mL$ of $0.20 \ M$ cyanic acid to prepare a buffer with a $pH$ of $4.0$?

$K_{a}(cyanic \ acid)=3.5 \times 10^{-4}$

A

$50.0 \space mL$

B

$63.2 \space mL$

C

$175 \space mL$

D

$250 \space mL$

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