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Consider the following reaction: ""(20...

Consider the following reaction:
`""_(20)Ca^(42) to ""_(20)Ca^(41) + ""_(0)n^(1)`
Calculate the energy E required to remove this neutron from `""_(20)Ca^(42)`.
Further, energy required to remove a proton from `""_(20)Ca^(42)` is E'
What would you suggest whether E' would be less than or greater than E and why?
Mass of `""_(20)Ca^(42) = 41.9586`
Mass of `""_(20)Ca^(41) = 40.9622` u
Mass of neutron =1.0072 u

Text Solution

AI Generated Solution

To solve the problem, we need to calculate the energy required to remove a neutron from Calcium-42 (\( _{20}^{42}\text{Ca} \)). This involves calculating the mass defect and then converting that into energy using Einstein's equation \( E = \Delta m c^2 \). ### Step-by-Step Solution: 1. **Identify the masses involved in the reaction**: - Mass of \( _{20}^{42}\text{Ca} \) (reactant): \( m_{\text{Ca-42}} = 41.9586 \) u - Mass of \( _{20}^{41}\text{Ca} \) (product): \( m_{\text{Ca-41}} = 40.9622 \) u - Mass of neutron: \( m_n = 1.0072 \) u ...
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An isobar of ._(20)Ca^(40) is

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Calculate the energy required to remove the least tightly neutron form .^20(Ca^(40)) . Given that Mass of .^20(Ca^(40)) = 39.962589 amu Mass of .^20(Ca^(39)) = 38.970691 amu Mass of neutron = 1.008665 amu