タイトル:化学問題解説:0.5 M NaCl 250 mL と 0.2 M NaCl 750 mL を混合した最終濃度は?


問題(問題安全)

化学を学ぶ生徒の皆さん、よくある現代的な応用問題があります。
「250 mLの0.5 M NaCl溶液と750 mLの0.2 M NaCl溶液を混合したとき、混合後の溶液のNaCl濃度はいくらか?」

Understanding the Context

この問題は、溶液の希釈と濃度計算(モル濃度の混合)に関する基礎的な計算力が問われます。溶液の体積と濃度から最終的なモル数を求め、それを全体の体積で割るだけで完成!理屈だけでCompute(計算)できるので、非常に学べる問題です。


解き方の手順

ステップ1:各溶液に含まれるNaClのモル数を求める

Key Insights

モル数(mol)= 濃度(mol/L) × 体積(L)
→ 単位はVR × M = mol


混合溶液1(250 mL / 0.5 M)
体積をリットルに変換:250 mL = 0.250 L
モル数= 0.5 × 0.250 = 0.125 mol


混合溶液2(750 mL / 0.2 M)
体積をリットルに変換:750 mL = 0.750 L
モル数= 0.2 × 0.750 = 0.150 mol

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Final Thoughts


ステップ2:合計モル数と最終体積を計算

合計モル数= 0.125 mol + 0.150 mol = 0.275 mol

全体の混合体積= 250 mL + 750 mL = 1000 mL = 1 L


ステップ3:最終濃度を求める

最終濃度= 合計モル数 ÷ 全体の体積(L)
= 0.275 mol ÷ 1 L = 0.275 M


答え:最終濃度は 0.275 M