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Question 12
The concentration of K extsuperscript{+} ions in 100 mL of 0.0500 M K extsubscript{2}CO extsubscript{3} solution, in g L extsuperscript{-1}, is A. 0.196 B. 0.391 C. ... show full transcript
Step 1
Answer
Determine the molarity of K extsubscript{2}CO extsubscript{3}:
The solution has a molarity of 0.0500 M.
Find the number of K extsuperscript{+} ions in K extsubscript{2}CO extsubscript{3}:
Each formula unit of K extsubscript{2}CO extsubscript{3} yields 2 K extsuperscript{+} ions.
Calculate the total moles of K extsuperscript{+} ions:
Moles of K extsuperscript{+} = 2 imes 0.0500 imes 0.100 = 0.0100 ext{ moles}.
Convert moles to grams:
The molar mass of K = 39.10 g/mol, so:
Mass of K extsuperscript{+} = 0.0100 imes 39.10 = 0.391 ext{ g}.
Find concentration in g L extsuperscript{-1}:
Since the solution volume is 0.100 L, the concentration of K extsuperscript{+} ions is:
Concentration = 0.391 ext{ g} ext{ in 1 L} = 0.391 ext{ g L}^{-1}.
Thus, the correct answer is B. 0.391.
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