A sample, KOH, K2CO3, dissolved in water (35cm3). Its solution was titrated with 1.058moldm-3 HCl requiring 17.7cm3 to make it colourless due to phenolphthalein solution. After adding methyl orange, the solution consumed further 6cm3 of the acid to complete the neutralisation. What is the concentration of the sample?
"2HCl + K_2CO_3 \\to 2KCl + CO_2 + H_2O\\\\\nHCl + KOH \\to KCl + H_2O"
let;
a represent hcl
b and c represent k2co3 and koh respectively
ca = 1.058 mol/dm³
va for k2co3 = 17.7cm³
va for koh = 6cm³
vb =35cm³
vc = 35cm³
Using cava/cbvb = na/nb
1.058×17.7/cb×35 = 2/1
cb = 0.268 mol/dm³
Using cava/ccvc = na/nc
1.058×6/cc×35 = 1/1
cc = 0.181 mol/dm³
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