It is believed that two carbon-12 nuclei can react in the core of a supergiant star to form sodium-23 and hydrogen-1. Calculate the energy released from this reaction for each mole of hydrogen formed. Na + H C+C Particle Mass (amu) C-12 12.000000 Na-23 22.989767 H-1 1.007825 (1 kg = 6.022 x 1026 amu; NA = 6.022 x 1023 mol-1. c=2.99792458 x 108 m/s)
It is believed that two carbon-12 nuclei can react in the core of a supergiant star to form sodium-23 and hydrogen-1. Calculate the energy released from this reaction for each mole of hydrogen formed. Na + H C+C Particle Mass (amu) C-12 12.000000 Na-23 22.989767 H-1 1.007825 (1 kg = 6.022 x 1026 amu; NA = 6.022 x 1023 mol-1. c=2.99792458 x 108 m/s)
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![**Title: Nuclear Reaction in Supergiant Stars**
It is believed that two carbon-12 nuclei can react in the core of a supergiant star to form sodium-23 and hydrogen-1. Calculate the energy released from this reaction for each mole of hydrogen formed.
**Nuclear Reaction Equation:**
\[ \, _{6}^{12}\text{C} + \, _{6}^{12}\text{C} \rightarrow \, _{11}^{23}\text{Na} + \, _{1}^{1}\text{H} \]
**Particle Mass (amu):**
- Carbon-12: 12.000000
- Sodium-23: 22.989767
- Hydrogen-1: 1.007825
**Constants:**
- 1 kg = 6.022 × 10²⁶ amu
- Avogadro's Number (\(N_A\)) = 6.022 × 10²³ mol⁻¹
- Speed of Light (\(c\)) = 2.99792458 × 10⁸ m/s
### Explanation
In this reaction, the fusion of two carbon-12 nuclei results in the formation of sodium-23 and a proton (hydrogen-1). The masses are provided in atomic mass units (amu), and calculation of the energy released involves using the mass-energy equivalence principle. These reactions are typical in high-temperature environments, such as the cores of supergiant stars, and are crucial in the process of nucleosynthesis.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2ceb2d65-29b4-49d4-9830-4ba06589987b%2F9159f76b-63a0-42e8-923c-40aff026bceb%2Fqhvwhe4_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Title: Nuclear Reaction in Supergiant Stars**
It is believed that two carbon-12 nuclei can react in the core of a supergiant star to form sodium-23 and hydrogen-1. Calculate the energy released from this reaction for each mole of hydrogen formed.
**Nuclear Reaction Equation:**
\[ \, _{6}^{12}\text{C} + \, _{6}^{12}\text{C} \rightarrow \, _{11}^{23}\text{Na} + \, _{1}^{1}\text{H} \]
**Particle Mass (amu):**
- Carbon-12: 12.000000
- Sodium-23: 22.989767
- Hydrogen-1: 1.007825
**Constants:**
- 1 kg = 6.022 × 10²⁶ amu
- Avogadro's Number (\(N_A\)) = 6.022 × 10²³ mol⁻¹
- Speed of Light (\(c\)) = 2.99792458 × 10⁸ m/s
### Explanation
In this reaction, the fusion of two carbon-12 nuclei results in the formation of sodium-23 and a proton (hydrogen-1). The masses are provided in atomic mass units (amu), and calculation of the energy released involves using the mass-energy equivalence principle. These reactions are typical in high-temperature environments, such as the cores of supergiant stars, and are crucial in the process of nucleosynthesis.
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