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Deuterons when bombarded on a nuclide pr...

Deuterons when bombarded on a nuclide produce`Ar_18^38` and neutrons. The target is:

A

`Cl_17^35`

B

`K_19^27`

C

`Cl_17^37`

D

`K_19^39`

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To find the target nuclide that deuterons bombard to produce Argon-38 and neutrons, we can follow these steps: ### Step 1: Identify the Reaction The reaction can be represented as: \[ \text{Deuteron} + \text{Target Nuclide} \rightarrow \text{Argon-38} + \text{Neutrons} \] ### Step 2: Write Down the Known Values From the question, we know: - Argon-38 has an atomic number (Z) of 18 and a mass number (A) of 38. - The deuteron (which is a hydrogen isotope) has 1 proton and 1 neutron, represented as \( ^2_1H \). ### Step 3: Set Up the Equation Let the target nuclide be represented as \( X \) with atomic number \( Z_X \) and mass number \( A_X \). The reaction can be balanced as follows: \[ ^2_1H + X \rightarrow ^{38}_{18}Ar + n \] ### Step 4: Balance the Atomic Numbers Balancing the atomic numbers (Z): \[ 1 + Z_X = 18 + 0 \] This simplifies to: \[ Z_X = 18 - 1 = 17 \] ### Step 5: Balance the Mass Numbers Balancing the mass numbers (A): \[ 2 + A_X = 38 + 1 \] This simplifies to: \[ A_X = 38 + 1 - 2 = 37 \] ### Step 6: Identify the Target Nuclide Now we have determined that the target nuclide \( X \) has: - Atomic number \( Z_X = 17 \) - Mass number \( A_X = 37 \) Looking at the periodic table, the element with atomic number 17 is Chlorine (Cl). ### Conclusion Therefore, the target nuclide is: \[ \text{Chlorine-37} \, (^{37}_{17}Cl) \]
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