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Write Brief Answer · Q44

Q.An ion with mass number 37 possesses unit negative charge. If the ion contains 11.1% more neutrons than electrons, find the symbol of the ion.

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Step 1. Let pp = number of protons. Since the ion carries a unit NEGATIVE charge, it has one more electron than protons: electrons =p+1=p+1.

Step 2. Neutrons = mass number − protons =37−p=37-p.

Step 3. Given "11.1% more neutrons than electrons": 37−p=1.111×(p+1)37-p=1.111\times(p+1)

Step 4. Solve: 37−p=1.111p+1.111 ⇒ 37−1.111=1.111p+p ⇒ 35.889=2.111p ⇒ p≈1737-p=1.111p+1.111\ \Rightarrow\ 37-1.111=1.111p+p\ \Rightarrow\ 35.889=2.111p\ \Rightarrow\ p\approx17. …

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