Question

Difficulty: MediumAligning Data and Predictions with Viewpoints

Two students debate the mechanism driving thermal activity on the icy moon Enceladus-Prime.

Student 1 (Tidal Flexing Model)
Tectonic activity and hydrothermal plumes are driven by tidal dissipation. The gravitational pull of the host planet flexes the moon's ice shell, generating heat. The rate of heat generation is directly proportional to the orbital eccentricity (non-circularity) of the moon. Any change in orbital parameters immediately alters the heat output and plume temperatures.

Student 2 (Radiogenic Core Model)
Heat is generated exclusively by the radioactive decay of unstable isotopes in the moon's silicate core. This thermal energy slowly conducts through the ice shell. The heat production rate is constant on short timescales, unaffected by orbital motion or eccentricity, and decreases gradually over millions of years as the isotopes decay.

Match each of the following hypothetical observations with the viewpoint it supports or contradicts.

  • A 10-year study shows that plume temperatures fluctuate in a 33-hour cycle that matches the moon's eccentric orbit around its host planet.Aligns with Student 1's model, because heat generation is linked to orbital position.
  • The moon's total heat output remains constant over a century, showing no variation despite periodic changes in orbital distance.Aligns with Student 2's model, because heat output is independent of short-term orbital characteristics.
  • A sudden increase in the orbital eccentricity of the moon leads to no measurable change in hydrothermal activity.Contradicts Student 1's model, because changes in eccentricity do not alter heat generation as predicted.

Answer

The cyclic temperature variations match the tidal flexing model, the constant heat output matches the radiogenic core model, and the lack of response to eccentricity changes contradicts the tidal flexing model.
The correct matches are based on the direct alignment of experimental predictions. The cyclic changes matching the orbit align with Student 1's model of orbit-dependent flexing. The constant heat output aligns with Student 2's model of constant decay. The lack of variation after an eccentricity change contradicts Student 1's model, which states that eccentricity shifts immediately alter heat output.

Step-by-Step Solution

1
Analyze the core assertions of both models regarding orbital dependency.
Student 1's model asserts heat output is directly proportional to orbital eccentricity and position, while Student 2's model asserts heat output is constant on short timescales and independent of orbital parameters.
This establishes the logical rules required to classify each observation.
2
Evaluate the first observation of temperatures fluctuating in a 33-hour cycle matching the orbit.
This cyclic change matches the orbital-dependent heat generation proposed by Student 1.
Only Student 1's model predicts that orbital position variations cause heat variations.
3
Evaluate the second observation of constant heat output over a century and the third observation of no change after an eccentricity increase.
The constant heat output aligns with Student 2's model of constant decay heat. The lack of change after an eccentricity increase contradicts Student 1's claim that eccentricity changes immediately alter heat output.
Comparing the stability of heat output to the predictions of each student yields the remaining correct pairs.

Key Concept

Aligning Data and Predictions with Viewpoints
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