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The graph shows how the solubility of various chemicals varies with temperature. The solubility is measured as grams of dissolved...

GMAT Graphics Interpretation : (GI) Questions

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Graph showing solubility of various chemicals varying with temperature

The graph shows how the solubility of various chemicals varies with temperature. The solubility is measured as grams of dissolved chemical (solute) per 100 grams of water.

Under the assumption that the curves shown continue in the same general shape beyond the plotted area, use the drop-down menus to complete each of the following statements in the manner that most accurately reflects the information provided.

At 60°C, the most soluble of the chemicals is most likely.
There is most likely a temperature above 100°C at which NH4Cl is exactly as soluble as.
Solution

Owning The Dataset

Table 1: Text Analysis

Text ComponentLiteral ContentSimple Interpretation
Data TypeThe graph shows how the solubility of various chemicals varies with temperatureThe dataset is about how temperature changes affect how chemicals dissolve in water
Measurement UnitThe solubility is measured as grams of dissolved chemical (solute) per 100 grams of waterThe y-axis shows grams of chemical that dissolve in 100g water
Variable RelationshipSolubility varies with temperatureTemperature (x-axis) changes the amount that dissolves (y-axis)

Table 2: Chart Analysis

Chart ComponentWhat's ShownWhat This Tells Us
Chart TypeMultiple curves (lines), one per chemicalEnables comparison across chemicals at various temperatures
X-axis RangeTemperature from \(0°\mathrm{C}\) to \(100°\mathrm{C}\) in incrementsShows solubility behavior across a significant temperature span
Y-axis RangeSolubility from 0g to 150g per \(100\mathrm{g H_2O}\)Different chemicals dissolve in much greater or lesser amounts
Curve PatternsMost curves rise, some curve sharply upward; a few decrease (e.g., \(\mathrm{SO_2}\))Temperature generally increases solubility, but not for all chemicals
\(60°\mathrm{C}\) Chemical SolubilityKI is shown as most soluble at \(60°\mathrm{C}\)KI is the most soluble of the listed chemicals at \(60°\mathrm{C}\)
\(\mathrm{NH_4Cl}\) and \(\mathrm{KClO_3}\) Trajectory\(\mathrm{NH_4Cl}\) increases steeply, \(\mathrm{KClO_3}\) increases fastest at higher temperaturesTheir curves may cross above \(100°\mathrm{C}\), so equal solubility is plausible there

Key Insights

KI is the most soluble major chemical at \(60°\mathrm{C}\) among those listed. \(\mathrm{NH_4Cl}\) sharply increases in solubility with temperature and could reach the same solubility as \(\mathrm{KClO_3}\) at a temperature above \(100°\mathrm{C}\), assuming curve trends continue. Different chemical solubility curves show unique shapes, indicating variable responses to heating: most increase, but some (like \(\mathrm{SO_2}\)) decrease with temperature.

Step-by-Step Solution

Question 1: Most Soluble Chemical at \(60°\mathrm{C}\)

Complete Statement:

At \(60°\mathrm{C}\), the most soluble of the chemicals is most likely [BLANK].

Breaking Down the Statement
  • Statement Breakdown 1:
    • Key Phrase: At \(60°\mathrm{C}\)
      Meaning: We are asked to focus specifically on the temperature of \(60°\mathrm{C}\).
      Relation to Chart: Examine the solubility values for each chemical at \(60°\mathrm{C}\) on the solubility curves.
      Important Implications: No need to analyze trends, just compare the actual values at this particular temperature.
  • Statement Breakdown 2:
    • Key Phrase: most soluble
      Meaning: The chemical that dissolves in the largest amount at the given temperature.
      Relation to Chart: Look for the highest solubility value (highest point on the y-axis) at \(60°\mathrm{C}\) among the choices.
      Important Implications: We are looking for the chemical whose curve is highest at \(60°\mathrm{C}\).
  • What is needed: Which of the given chemicals has the highest solubility (grams per 100g water) at \(60°\mathrm{C}\).
Solution:
  • Condensed Solution Implementation:
    Check the solubility values at \(60°\mathrm{C}\) for each answer-choice chemical by finding where the vertical \(60°\mathrm{C}\) line meets each curve.
  • Necessary Data points:
    At \(60°\mathrm{C}\), estimated solubility values are:
    • KI ≈ \(140 \mathrm{g/100g H_2O}\)
    • \(\mathrm{NaNO_3}\)\(120 \mathrm{g/100g H_2O}\)
    • \(\mathrm{KNO_3}\)\(110 \mathrm{g/100g H_2O}\)
    • KCl ≈ \(45 \mathrm{g/100g H_2O}\)
    • \(\mathrm{SO_2}\) is not shown at this temperature and is much lower when present.
    Calculations Estimations: Visually compare values; no math needed. KI is the highest among the choices at \(60°\mathrm{C}\).
    Comparison to Answer Choices: KI has the highest solubility at \(60°\mathrm{C}\) among the listed chemicals.
FINAL ANSWER Blank 1: KI

Question 2: Intersection of \(\mathrm{NH_4Cl}\) Solubility Above \(100°\mathrm{C}\)

Complete Statement:

There is most likely a temperature above \(100°\mathrm{C}\) at which \(\mathrm{NH_4Cl}\) is exactly as soluble as [BLANK].

Breaking Down the Statement
  • Statement Breakdown 1:
    • Key Phrase: temperature above \(100°\mathrm{C}\)
      Meaning: We're interested in what happens outside the measured chart, extending to higher temperatures.
      Relation to Chart: Consider the direction and slope of solubility curves as they head beyond \(100°\mathrm{C}\).
  • Statement Breakdown 2:
    • Key Phrase: \(\mathrm{NH_4Cl}\) is exactly as soluble as
      Meaning: Find another chemical whose solubility matches \(\mathrm{NH_4Cl}\)'s at some point, if both curves were extended beyond \(100°\mathrm{C}\).
      Relation to Chart: Look for curves that might meet or cross \(\mathrm{NH_4Cl}\)'s if extended rightward.
  • What is needed: Which chemical's solubility could equal \(\mathrm{NH_4Cl}\)'s at a temperature beyond \(100°\mathrm{C}\) if their trends continue.
Solution:
  • Condensed Solution Implementation:
    Observe curve behaviors near \(100°\mathrm{C}\) and estimate which chemical's solubility will intersect \(\mathrm{NH_4Cl}\) as temperature increases above the charted range.
  • Necessary Data points:
    At \(100°\mathrm{C}\):
    • \(\mathrm{NH_4Cl}\)\(75 \mathrm{g/100g H_2O}\) (steep rising curve)
    • \(\mathrm{KClO_3}\)\(55 \mathrm{g/100g H_2O}\) (also rising, increasingly steep)
    Other answer-choice curves are either well below or nearly flat.
    Calculations Estimations: \(\mathrm{KClO_3}\)'s curve, though below \(\mathrm{NH_4Cl}\) at \(100°\mathrm{C}\), increases more sharply and will likely overtake/intersect \(\mathrm{NH_4Cl}\) above \(100°\mathrm{C}\).
    Comparison to Answer Choices: \(\mathrm{KClO_3}\) is the only answer-choice whose extension plausibly intersects \(\mathrm{NH_4Cl}\)'s curve over \(100°\mathrm{C}\).
FINAL ANSWER Blank 2: \(\mathrm{KClO_3}\)

Summary

Question 1 is answered by comparing actual solubility values at \(60°\mathrm{C}\), where KI stands out as the highest among the provided choices. Question 2 involves projecting existing curve trends, recognizing that only \(\mathrm{KClO_3}\)'s steeply increasing solubility makes it plausible to intersect \(\mathrm{NH_4Cl}\) above \(100°\mathrm{C}\).

Question Independence Analysis

The two questions are independent: one is a single-point comparison, and the other is a forward-looking trend analysis. You do not need the answer to one to work out the other.

Answer Choices Explained
At 60°C, the most soluble of the chemicals is most likely
1A
KCI
1B
KI
1C
KNO3
1D
NaNO3
1E
SO2
.
There is most likely a temperature above 100°C at which NH4Cl is exactly as soluble as
2A
KCI
2B
KCIO3
2C
NaCI
.
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