On souhaite vérifier le pourcentage massique de nitrate d’ammonium \( NH_{4}NO_{3} \) d’un engrais
commercial.
Pour cela on dissout une masse \( m = 1\mbox{,}25 g \) d’engrais dans de l’eau distillée pour obtenir
\( V = 270 mL \) de solution. On prélève un volume \( V_A = 30 mL \) de cette solution.
On ajoute à cela un volume de \( 100 mL \) d’eau distillée avant de procéder au titrage de la
solution obtenue par une solution d’hydroxyde de sodium \( (Na^{+}_{(aq)},HO^{-}_{(aq)}) \) de concentration
\( C = 1\mbox{,}00 \times 10^{-1}\:\text{mol}\mathord{\cdot}\text{L}^{-1} \).
On obtient la courbe de titrage suivante :
{"init": {"range": [[-1.1, 26.1], [12.1, 24.0]], "scale": [22, 40], "hasGraph": true, "xLabel": "\\( V (mL) \\)", "yLabel": "\\( \\sigma ( \\times 10^{-5} S \\cdot m^{-1} ) \\)", "num_points": null, "labelStep": [1, 1], "tickStep": [4, 2], "gridOpacity": 0.1, "gridStep": [1, 1], "axisOpacity": 0.5, "unityLabels": true, "axisArrows": "->", "settings": {"scale": [22, 40]}, "x_max": 25, "x_min": 0, "y_min": 12.1, "y_max": 22.9, "yLabelPos": [6.5, null]}, "line": [[[-0.1, 16.9], [0.1, 17.1], {"subtype": "segment", "stroke": "#6495ED"}], [[0.9, 16.799999999999997], [1.1, 17.0], {"subtype": "segment", "stroke": "#6495ED"}], [[1.9, 16.7], [2.1, 16.900000000000002], {"subtype": "segment", "stroke": "#6495ED"}], [[2.9, 16.599999999999998], [3.1, 16.8], {"subtype": "segment", "stroke": "#6495ED"}], [[3.9, 16.5], [4.1, 16.700000000000003], {"subtype": "segment", "stroke": "#6495ED"}], [[4.9, 16.4], [5.1, 16.6], {"subtype": "segment", "stroke": "#6495ED"}], [[5.9, 16.299999999999997], [6.1, 16.5], {"subtype": "segment", "stroke": "#6495ED"}], [[6.9, 16.2], [7.1, 16.400000000000002], {"subtype": "segment", "stroke": "#6495ED"}], [[7.9, 16.099999999999998], [8.1, 16.3], {"subtype": "segment", "stroke": "#6495ED"}], [[8.9, 16.0], [9.1, 16.200000000000003], {"subtype": "segment", "stroke": "#6495ED"}], [[9.9, 15.9], [10.1, 16.1], {"subtype": "segment", "stroke": "#6495ED"}], [[10.9, 15.8], [11.1, 16.0], {"subtype": "segment", "stroke": "#6495ED"}], [[11.9, 15.700000000000001], [12.1, 15.9], {"subtype": "segment", "stroke": "#6495ED"}], [[12.9, 15.6], [13.1, 15.799999999999999], {"subtype": "segment", "stroke": "#6495ED"}], [[13.9, 16.2], [14.1, 16.400000000000002], {"subtype": "segment", "stroke": "#6495ED"}], [[14.9, 16.799999999999997], [15.1, 17.0], {"subtype": "segment", "stroke": "#6495ED"}], [[15.9, 17.4], [16.1, 17.6], {"subtype": "segment", "stroke": "#6495ED"}], [[16.9, 18.0], [17.1, 18.200000000000003], {"subtype": "segment", "stroke": "#6495ED"}], [[17.9, 18.599999999999998], [18.1, 18.8], {"subtype": "segment", "stroke": "#6495ED"}], [[18.9, 19.2], [19.1, 19.400000000000002], {"subtype": "segment", "stroke": "#6495ED"}], [[19.9, 19.799999999999997], [20.1, 20.0], {"subtype": "segment", "stroke": "#6495ED"}], [[20.9, 20.4], [21.1, 20.6], {"subtype": "segment", "stroke": "#6495ED"}], [[21.9, 21.0], [22.1, 21.200000000000003], {"subtype": "segment", "stroke": "#6495ED"}], [[22.9, 21.599999999999998], [23.1, 21.8], {"subtype": "segment", "stroke": "#6495ED"}], [[23.9, 22.199999999999996], [24.1, 22.4], {"subtype": "segment", "stroke": "#6495ED"}], [[24.9, 22.799999999999997], [25.1, 23.0], {"subtype": "segment", "stroke": "#6495ED"}], [[-0.1, 17.1], [0.1, 16.9], {"subtype": "segment", "stroke": "#6495ED"}], [[0.9, 17.0], [1.1, 16.799999999999997], {"subtype": "segment", "stroke": "#6495ED"}], [[1.9, 16.900000000000002], [2.1, 16.7], {"subtype": "segment", "stroke": "#6495ED"}], [[2.9, 16.8], [3.1, 16.599999999999998], {"subtype": "segment", "stroke": "#6495ED"}], [[3.9, 16.700000000000003], [4.1, 16.5], {"subtype": "segment", "stroke": "#6495ED"}], [[4.9, 16.6], [5.1, 16.4], {"subtype": "segment", "stroke": "#6495ED"}], [[5.9, 16.5], [6.1, 16.299999999999997], {"subtype": "segment", "stroke": "#6495ED"}], [[6.9, 16.400000000000002], [7.1, 16.2], {"subtype": "segment", "stroke": "#6495ED"}], [[7.9, 16.3], [8.1, 16.099999999999998], {"subtype": "segment", "stroke": "#6495ED"}], [[8.9, 16.200000000000003], [9.1, 16.0], {"subtype": "segment", "stroke": "#6495ED"}], [[9.9, 16.1], [10.1, 15.9], {"subtype": "segment", "stroke": "#6495ED"}], [[10.9, 16.0], [11.1, 15.8], {"subtype": "segment", "stroke": "#6495ED"}], [[11.9, 15.9], [12.1, 15.700000000000001], {"subtype": "segment", "stroke": "#6495ED"}], [[12.9, 15.799999999999999], [13.1, 15.6], {"subtype": "segment", "stroke": "#6495ED"}], [[13.9, 16.400000000000002], [14.1, 16.2], {"subtype": "segment", "stroke": "#6495ED"}], [[14.9, 17.0], [15.1, 16.799999999999997], {"subtype": "segment", "stroke": "#6495ED"}], [[15.9, 17.6], [16.1, 17.4], {"subtype": "segment", "stroke": "#6495ED"}], [[16.9, 18.200000000000003], [17.1, 18.0], {"subtype": "segment", "stroke": "#6495ED"}], [[17.9, 18.8], [18.1, 18.599999999999998], {"subtype": "segment", "stroke": "#6495ED"}], [[18.9, 19.400000000000002], [19.1, 19.2], {"subtype": "segment", "stroke": "#6495ED"}], [[19.9, 20.0], [20.1, 19.799999999999997], {"subtype": "segment", "stroke": "#6495ED"}], [[20.9, 20.6], [21.1, 20.4], {"subtype": "segment", "stroke": "#6495ED"}], [[21.9, 21.200000000000003], [22.1, 21.0], {"subtype": "segment", "stroke": "#6495ED"}], [[22.9, 21.8], [23.1, 21.599999999999998], {"subtype": "segment", "stroke": "#6495ED"}], [[23.9, 22.4], [24.1, 22.199999999999996], {"subtype": "segment", "stroke": "#6495ED"}], [[24.9, 23.0], [25.1, 22.799999999999997], {"subtype": "segment", "stroke": "#6495ED"}]], "plot": []}
Déterminer graphiquement le volume à l'équivalence \( V_{eq} \).
On donnera le résultat avec l'unité qui convient.