The reaction proceeds according to the equation:
"2HCl + K_2CO_3 = 2KCl + CO_2 + H_2O;"
The total amount of moles of potassium carbonate is:
"n(K_2CO_3 ) = 0.250 M * 0.01 L = 0.0025 mol;"
The amount of moles of HCl is twice bigger than amount of potassium carbonate moles (quotient 2 near the HCl in equation), so there were 0.0025*2=0.005 moles of HCl in reaction.
Now we can calculate the HCl solution molarity:
"C_M(HCl) = \\frac {n(HCl)} {V(HCl)} = \\frac {0.005 moles} {0.01765 L} = 0.283M"
Answer: the molarity of the HCl is 0.283M.
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