Indicate the concentration of each ion present in the solution formed by mixing the following.
Assume that the volumes are additive.
(b) 44.0 mL of 0.265 M Na2SO4 and 31.0 mL of 0.150 M KCl
[Na+] ____ M
[K+] ____ M
[SO42-] ____ M
[Cl-] ____ M
(c) 3.60 g of KCl in 67.0 mL of 0.501 M CaCl2 solution
[K+] ______ M
[Ca2+] ______ M
[Cl-] ______ M
Answers with the explanation on how to find them would be very helpful. Thanks in advance.
Assume that the volumes are additive.
(b) 44.0 mL of 0.265 M Na2SO4 and 31.0 mL of 0.150 M KCl
[Na+] ____ M
[K+] ____ M
[SO42-] ____ M
[Cl-] ____ M
(c) 3.60 g of KCl in 67.0 mL of 0.501 M CaCl2 solution
[K+] ______ M
[Ca2+] ______ M
[Cl-] ______ M
Answers with the explanation on how to find them would be very helpful. Thanks in advance.
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(b)
Total volume: 44.0 mL + 31.0 mL = 75.0 mL
(44.0 mL) x (0.265 mol/L) x (2 mol Na{+} / 1 mol Na2SO4) / 75.0 mL = 0.311 M Na{+}
(31.0 mL) x (0.150 mol/L) x (1 mol K{+} / 1 mol KCl) / 75.0 mL = 0.0620 M K{+}
(44.0 mL) x (0.265 mol/L) x (1 mol SO4{2-} / 1 mol Na2SO4) / 75.0 mL = 0.155 M SO4{2-}
(31.0 mL) x (0.150 mol/L) x (1 mol Cl{-} / 1 mol KCl) / 75.0 mL = 0.0620 M Cl{-}
(c)
(3.60 g KCl) / (74.5515 g/mol) = 0.04829 mol K{+} and Cl{-}
The concentration of Ca{2+} doesn't change, so 0.501 M Ca{2+}
(0.04829 mol K{+}) / 0.0670 L = 0.721 M K{+}
[(0.04829 mol Cl{-}) + ((0.0670 L) x (0.501 mol/L) x (2 mol Cl{-} / 1 mol CaCl2))] /
(0.0670 L) = 1.72 M Cl{-}
Total volume: 44.0 mL + 31.0 mL = 75.0 mL
(44.0 mL) x (0.265 mol/L) x (2 mol Na{+} / 1 mol Na2SO4) / 75.0 mL = 0.311 M Na{+}
(31.0 mL) x (0.150 mol/L) x (1 mol K{+} / 1 mol KCl) / 75.0 mL = 0.0620 M K{+}
(44.0 mL) x (0.265 mol/L) x (1 mol SO4{2-} / 1 mol Na2SO4) / 75.0 mL = 0.155 M SO4{2-}
(31.0 mL) x (0.150 mol/L) x (1 mol Cl{-} / 1 mol KCl) / 75.0 mL = 0.0620 M Cl{-}
(c)
(3.60 g KCl) / (74.5515 g/mol) = 0.04829 mol K{+} and Cl{-}
The concentration of Ca{2+} doesn't change, so 0.501 M Ca{2+}
(0.04829 mol K{+}) / 0.0670 L = 0.721 M K{+}
[(0.04829 mol Cl{-}) + ((0.0670 L) x (0.501 mol/L) x (2 mol Cl{-} / 1 mol CaCl2))] /
(0.0670 L) = 1.72 M Cl{-}