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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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Graphics Interpretation
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Graph showing solubility of various chemicals versus 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 Component Literal Content Simple Interpretation
Subject Matter The graph shows how the solubility of various chemicals varies with temperature. The chart presents how much of each chemical dissolves in water as temperature changes.
Measurement Unit The solubility is measured as grams of dissolved chemical (solute) per 100 grams of water. The quantity dissolved is reported per \(100\mathrm{g}\) of water, for each chemical at each temperature.
Extrapolation Instruction Under the assumption that the curves shown continue in the same general shape beyond the plotted area... When answering, imagine the curves continue in the same way beyond the displayed region.

Table 2: Chart Analysis

Chart Component Description Implication
Chart Type Multi-line graph with curves representing chemicals' solubility. Allows comparison of solubility trends for various chemicals over the temperature range.
X-axis Temperature (\(0°\mathrm{C}\) to \(100°\mathrm{C}\), \(10°\mathrm{C}\) intervals). Shows how solubility changes as temperature increases from freezing to boiling water.
Y-axis Solubility (grams per \(100\mathrm{g}\,\mathrm{H_2O}\), \(0\text{-}150\mathrm{g}\)). Can observe both highly and poorly soluble compounds in the same frame.
Curve Labels Each curve labeled directly (KI, NaNO3, KNO3, HCl, NH4Cl, KCl, NaCl, KClO3, SO2, NH3). Data for each chemical can be read immediately without legend confusion.
Pattern/Trends Some curves strongly upward, some nearly flat, two slope downward. Indicates drastic differences in how temperature affects solubility of each chemical.

Key Insights

  1. At \(60°\mathrm{C}\), NaNO3 is the most soluble chemical of those plotted, approaching \(130\mathrm{g}/100\mathrm{g}\,\mathrm{H_2O}\).
  2. KClO3's solubility increases very steeply; its intersection with NH4Cl is likely to occur above \(100°\mathrm{C}\) if trends continue.
  3. NaCl's solubility changes very little with temperature compared to other salts, showing a nearly flat curve.
  4. SO2 and NH3 show decreasing solubility with increasing temperature—opposite to the trend for the salts—highlighting distinct chemical behaviors.

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 _______."

Breaking Down the Statement
  • Statement Breakdown 1:
    • Key Phrase: "At \(60°\mathrm{C}\)"
      Meaning: We need to look at a specific temperature on the x-axis
      Relation to Chart: This is within the displayed range of \(0\text{-}100°\mathrm{C}\) on the chart
  • Statement Breakdown 2:
    • Key Phrase: "the most soluble"
      Meaning: We're looking for the chemical with the highest y-value (grams per \(100\mathrm{g}\,\mathrm{H_2O}\))
      Relation to Chart: This means finding which curve is positioned highest at \(\mathrm{x} = 60°\mathrm{C}\)
  • Statement Breakdown 3:
    • Key Phrase: "of the chemicals"
      Meaning: We need to compare all chemicals shown on the graph
      Relation to Chart: The answer choices limit us to: KCl, KI, KNO3, NaNO3, SO2

What we need to find: Which chemical's curve reaches the highest point on the y-axis when \(\mathrm{x} = 60°\mathrm{C}\)

Solution for Question 1

To find the most soluble chemical at \(60°\mathrm{C}\), I'll examine where a vertical line at \(\mathrm{x} = 60°\mathrm{C}\) intersects each curve from the answer choices:

Reading the y-values at \(60°\mathrm{C}\):

  • KI: approximately \(140\text{-}145\mathrm{g}\) per \(100\mathrm{g}\) water (highest position)
  • NaNO3: approximately \(125\mathrm{g}\) per \(100\mathrm{g}\) water
  • KNO3: approximately \(110\mathrm{g}\) per \(100\mathrm{g}\) water
  • KCl: approximately \(45\mathrm{g}\) per \(100\mathrm{g}\) water
  • SO2: approximately \(8\mathrm{g}\) per \(100\mathrm{g}\) water

Comparing these values, KI clearly has the highest solubility at \(60°\mathrm{C}\), positioned significantly above all other chemicals in the answer choices.

Final Answer for Blank 1: KI

Question 2: Chemical with Equal Solubility to NH4Cl Above \(100°\mathrm{C}\)

Complete Statement

"There is most likely a temperature above \(100°\mathrm{C}\) at which NH4Cl is exactly as soluble as _______."

Breaking Down the Statement
  • Statement Breakdown 1:
    • Key Phrase: "a temperature above \(100°\mathrm{C}\)"
      Meaning: We need to extrapolate beyond the chart's displayed range
      Relation to Chart: We must imagine how the curves would continue past \(100°\mathrm{C}\)
  • Statement Breakdown 2:
    • Key Phrase: "NH4Cl is exactly as soluble as"
      Meaning: We're looking for a chemical whose curve will intersect with NH4Cl's curve
      Relation to Chart: The intersection must occur above \(100°\mathrm{C}\) based on current trends

Answer choices available

  • KCl, KClO3, or NaCl
  • We need to determine which of these three will cross NH4Cl's path

What we need to find: Which chemical's curve, when extended beyond \(100°\mathrm{C}\), will intersect with NH4Cl's curve

Solution for Question 2

At \(100°\mathrm{C}\), NH4Cl reaches approximately \(75\mathrm{g}\) per \(100\mathrm{g}\) water and continues rising steadily.

Examining the three answer choices at \(100°\mathrm{C}\) and their trends:

  • KClO3: approximately \(55\mathrm{g}\) per \(100\mathrm{g}\) water with a very steep upward slope
  • KCl: approximately \(60\mathrm{g}\) per \(100\mathrm{g}\) water with moderate upward slope
  • NaCl: approximately \(40\mathrm{g}\) per \(100\mathrm{g}\) water with nearly flat trajectory

To intersect with NH4Cl above \(100°\mathrm{C}\), a curve must be:

  1. Below NH4Cl at \(100°\mathrm{C}\) (all three qualify)
  2. Rising fast enough to catch up (must have steeper slope)

KClO3 shows the steepest upward trend of the three choices. Its accelerating rate of increase indicates it will overtake and intersect NH4Cl's more moderate growth rate when extended beyond \(100°\mathrm{C}\).

Final Answer for Blank 2: KClO3

Summary

By systematically reading the solubility values at \(60°\mathrm{C}\), we identified KI as the most soluble chemical at that temperature. Through visual extrapolation of curve trends, we determined that KClO3's steep upward trajectory will lead it to intersect with NH4Cl's solubility curve at some temperature above \(100°\mathrm{C}\). The key insight is using direct value comparison for data within the chart range and trend analysis for predictions beyond it.

Question Independence Analysis

These blanks are independent. Blank 1 asks about identifying the most soluble chemical at a specific temperature (\(60°\mathrm{C}\)), while Blank 2 asks about predicting curve intersections beyond the displayed range. Each blank requires a different analytical approach and examines different aspects of the solubility curves without the answers being related to each 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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