Question

Difficulty: HardIdentifying Points of Agreement

A planetary satellite orbiting a gas giant exhibits a liquid water ocean beneath a solid ice shell. Three scientists propose different models to explain the source of the thermal energy that prevents the subsurface ocean from freezing.

Scientist 1
The primary source of heat is tidal dissipation. As the satellite follows an eccentric orbit, the gravitational pull of the gas giant causes periodic deformation (flexing) of the satellite's silicate mantle and metallic core. This friction generates tidal heat at a rate of approximately 100 GW100\text{ GW}, keeping the subsurface ocean liquid. Radioactive decay in the core contributes a negligible amount of heat (less than 5 GW5\text{ GW}).

Scientist 2
The satellite's orbit is nearly circular, meaning tidal dissipation contributes less than 2 GW2\text{ GW} of thermal energy. Instead, the heat is primarily generated by hydrothermal activity at the seafloor. Serpentinization reactions (water reacting with the silicate core) and radioactive decay within the core release heat at a combined rate of 95 GW95\text{ GW}. Hot water plumes carry this energy upward into the subsurface ocean.

Scientist 3
The heat is primarily radiogenic, produced by the decay of radioactive isotopes (40K^{40}\text{K}, 232Th^{232}\text{Th}, and 238U^{238}\text{U}) in the satellite's silicate-rich rocky core, generating a steady heat flux of 80 GW80\text{ GW}. Tidal dissipation is negligible. Furthermore, serpentinization reactions do not occur because the core's silicate minerals have already been fully hydrated.

Based on the descriptions provided, which of the following statements represents a point of agreement among all three scientists?

  1. A
    Tidal dissipation from gravitational interactions is the primary source of heating.
  2. Radioactive decay within the satellite's core contributes to its thermal energy budget.Answer
  3. C
    Serpentinization reactions at the seafloor generate a significant portion of the satellite's heat.
  4. D
    The orbit of the satellite around the gas giant is highly eccentric.

Answer

Radioactive decay within the satellite's core contributes to its thermal energy budget.
The correct option is the one stating that radioactive decay within the satellite's core contributes to its thermal energy budget. Scientist 1 notes that radioactive decay contributes less than 5 GW5\text{ GW} of heat. Scientist 2 states that radioactive decay, along with chemical reactions, releases heat. Scientist 3 states that radioactive decay is the primary source of the satellite's heat budget. Therefore, all three scientists agree that radioactive decay contributes to the thermal budget, despite differences in their estimates of its relative importance.

Step-by-Step Solution

1
Analyze Scientist 1's position on radioactive decay.
Scientist 1 states that radioactive decay in the core contributes a small but non-zero amount of heat (less than 5 GW5\text{ GW}).
To determine if Scientist 1 acknowledges a contribution from radioactive decay to the thermal energy budget.
2
Analyze Scientist 2's position on radioactive decay.
Scientist 2 states that radioactive decay within the core, along with serpentinization, releases heat.
To check if Scientist 2 agrees that radioactive decay contributes to the satellite's heat output.
3
Analyze Scientist 3's position on radioactive decay.
Scientist 3 states that the heat is primarily radiogenic, produced by the decay of radioactive isotopes in the core.
To check if Scientist 3 agrees that radioactive decay contributes to the satellite's heat output.
4
Synthesize the findings and identify the shared claim.
All three scientists acknowledge that radioactive decay within the core contributes thermal energy to the satellite, establishing it as a point of agreement.
To identify the correct option.

Key Concept

Identifying points of agreement between conflicting scientific hypotheses or models.
Estimated Time:2m 0s
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