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Which of the given pairs of atoms contai...

Which of the given pairs of atoms contain(s) the same number of neutrons ?
I. `""_(48)^(114)Cd and ""_(50)^(119)Sn`
II. `""_(27)^(59)Co` and `""_(28)^(59)Ni`
III. `""_(55)^(133)Cs and ""_(54)^(132)Xe`
IV. `""_(29)^(63)Cu and ""_(29)^(65)Cu`

A

I and IV only

B

I and III only

C

III only

D

IV only

Text Solution

AI Generated Solution

The correct Answer is:
To determine which pairs of atoms contain the same number of neutrons, we need to use the formula: **Number of Neutrons = Mass Number - Atomic Number** Let's analyze each pair one by one. ### Step 1: Analyze Pair I - `""_(48)^(114)Cd and ""_(50)^(119)Sn` 1. **For Cadmium (Cd)**: - Mass Number = 114 - Atomic Number = 48 - Neutrons = 114 - 48 = 66 2. **For Tin (Sn)**: - Mass Number = 119 - Atomic Number = 50 - Neutrons = 119 - 50 = 69 **Conclusion for Pair I**: Cadmium has 66 neutrons, and Tin has 69 neutrons. **Not the same.** ### Step 2: Analyze Pair II - `""_(27)^(59)Co and ""_(28)^(59)Ni` 1. **For Cobalt (Co)**: - Mass Number = 59 - Atomic Number = 27 - Neutrons = 59 - 27 = 32 2. **For Nickel (Ni)**: - Mass Number = 59 - Atomic Number = 28 - Neutrons = 59 - 28 = 31 **Conclusion for Pair II**: Cobalt has 32 neutrons, and Nickel has 31 neutrons. **Not the same.** ### Step 3: Analyze Pair III - `""_(55)^(133)Cs and ""_(54)^(132)Xe` 1. **For Cesium (Cs)**: - Mass Number = 133 - Atomic Number = 55 - Neutrons = 133 - 55 = 78 2. **For Xenon (Xe)**: - Mass Number = 132 - Atomic Number = 54 - Neutrons = 132 - 54 = 78 **Conclusion for Pair III**: Cesium has 78 neutrons, and Xenon also has 78 neutrons. **They are the same.** ### Step 4: Analyze Pair IV - `""_(29)^(63)Cu and ""_(29)^(65)Cu` 1. **For Copper (Cu)** (first isotope): - Mass Number = 63 - Atomic Number = 29 - Neutrons = 63 - 29 = 34 2. **For Copper (Cu)** (second isotope): - Mass Number = 65 - Atomic Number = 29 - Neutrons = 65 - 29 = 36 **Conclusion for Pair IV**: Both isotopes of Copper have different numbers of neutrons (34 and 36). **Not the same.** ### Final Conclusion: The only pair that contains the same number of neutrons is **Pair III: `""_(55)^(133)Cs and ""_(54)^(132)Xe`**.
To determine which pairs of atoms contain the same number of neutrons, we need to use the formula: **Number of Neutrons = Mass Number - Atomic Number** Let's analyze each pair one by one. ### Step 1: Analyze Pair I - `""_(48)^(114)Cd and ""_(50)^(119)Sn` ...
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