Question

Difficulty: HardArgument Development and Evidence Sequencing

In the mid-nineteenth century, physicists Lord Kelvin and Hermann von Helmholtz proposed that the Sun generates heat and light through gravitational contraction. According to their Kelvin-Helmholtz mechanism, as the Sun cools and loses thermal energy, it contracts, and this reduction in volume releases gravitational potential energy that is converted back into heat. Based on mathematical calculations of the Sun's mass, gravity, and current energy output, Kelvin estimated that the Sun could sustain its current level of luminosity for only 20 to 100 million years. While this estimate initially satisfied the physics community, it directly clashed with the empirical findings of late-nineteenth-century geologists and evolutionary biologists. These researchers argued that the accumulation of Earth’s stratified rock layers and the slow, gradual pace of organic evolution required a planetary age of billions, not millions, of years.

The paradox remained unresolved until the early twentieth century, when the discovery of radioactivity by Henri Becquerel and Marie Curie demonstrated that the Earth possessed an internal source of decay heat, suggesting that geological processes occurred over much longer timescales than Kelvin's models allowed. However, identifying the Sun’s specific energy source required another theoretical breakthrough. In 1920, British astrophysicist Arthur Eddington proposed that subatomic processes—specifically, the fusion of hydrogen nuclei into helium—could release the vast quantities of energy required to power the Sun for billions of years. Eddington’s hypothesis was bolstered by the ground-breaking doctoral work of Cecilia Payne-Gaposchkin in 1925, who analyzed stellar spectra to show that the Sun is composed almost entirely of hydrogen, providing a vast and abundant fuel source. Finally, in the late 1930s, physicists Hans Bethe and Carl Friedrich von Weizsäcker independently worked out the detailed nuclear reaction pathways—specifically the proton-proton chain and the carbon-nitrogen-oxygen (CNO) cycle—that convert hydrogen into helium under extreme stellar temperatures. This sequence of theoretical and empirical developments ultimately established nuclear fusion as the consensus mechanism for solar power, reconciling astrophysics with geological history.

Based on the passage, arrange the following developments in the scientific understanding of solar energy in the order they are introduced to build the author's argument, from first to last.

  1. 1The introduction of a classical physics theory that explains solar energy through mechanical contraction.
  2. 2The presentation of empirical challenges from other scientific disciplines that disputed the classical timeline.
  3. 3The identification of the specific element that serves as the primary fuel source for stellar energy.
  4. 4The description of the precise quantum mechanisms that govern the conversion of stellar fuel.

Answer

The correct sequence of developments in the passage is: the introduction of a classical physics theory of solar contraction, the presentation of empirical challenges from geology and biology, the identification of hydrogen as the primary stellar fuel, and the description of the detailed quantum reaction pathways.
The correct order follows the chronological and logical progression of evidence in the passage. The author begins with the classical Kelvin-Helmholtz mechanism of gravitational contraction, details the counter-evidence from late-nineteenth-century geologists and biologists, introduces the discovery of the abundance of hydrogen as fuel, and concludes with the detailed mathematical pathways of nuclear fusion.

Step-by-Step Solution

1
Identify the first development described in the passage.
The Kelvin-Helmholtz mechanism of gravitational contraction (a classical physics model) is introduced at the very beginning of the passage.
This establishes the historical scientific starting point for understanding solar energy.
2
Locate the subsequent challenge to the classical model.
The passage next details the clash between Kelvin's timeline and the findings of geologists and evolutionary biologists.
This introduces the scientific conflict that motivates the rest of the developments in the passage.
3
Find the development where the specific fuel source is identified.
Following Eddington's general hypothesis of hydrogen fusion, Cecilia Payne-Gaposchkin's 1925 discovery is introduced, confirming the Sun is mostly hydrogen.
This provides the physical evidence that a subatomic fuel source actually exists in abundance.
4
Identify the final stage of argument development in the passage.
Hans Bethe and Carl Friedrich von Weizsäcker work out the specific proton-proton chain and CNO cycle pathways.
This details the exact quantum mechanism of how the fuel is converted, resolving the conflict.

Key Concept

Understanding the logical and chronological sequencing of arguments and evidence in a scientific passage.
Estimated Time:3m 0s
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