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Step-by-step solution for: Isotope GEN CHEM - Isotope Practice Worksheet Here are three ...
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Step-by-step solution for: Isotope GEN CHEM - Isotope Practice Worksheet Here are three ...
It looks like you've uploaded an Isotope Practice Worksheet with several problems related to isotopes, atomic structure, and calculating relative atomic masses. I'll go through each question carefully, explain the solutions, and correct any errors or inconsistencies in the provided answers.
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Given isotopes:
- \( ^{12}_{6}\text{C} \)
- \( ^{13}_{6}\text{C} \)
- \( ^{14}_{6}\text{C} \)
#### a. The element is: Carbon ✔
✔️ Correct — all three isotopes have atomic number 6, which corresponds to carbon.
#### b. The number 6 refers to the atomic number ✔
✔️ Correct — the atomic number indicates the number of protons.
#### c. The numbers 12, 13, and 14 refer to the mass number ✔
✔️ Correct — the mass number is the total number of protons and neutrons.
#### d. How many protons and neutrons are in the first isotope?
- Isotope: \( ^{12}_{6}\text{C} \)
- Protons = atomic number = 6
- Neutrons = mass number – protons = 12 – 6 = 6
✘ Incorrect answer given: "12"
👉 Should be: 6 protons and 6 neutrons
#### e. Second isotope: \( ^{13}_{6}\text{C} \)
- Protons = 6
- Neutrons = 13 – 6 = 7
✘ Answer given: "13"
👉 Should be: 6 protons and 7 neutrons
#### f. Third isotope: \( ^{14}_{6}\text{C} \)
- Protons = 6
- Neutrons = 14 – 6 = 8
✘ Answer given: "14"
👉 Should be: 6 protons and 8 neutrons
✔ Corrected Answers:
- d. 6 protons, 6 neutrons
- e. 6 protons, 7 neutrons
- f. 6 protons, 8 neutrons
---
| Isotope name | Atomic no | Mass no | No of protons | No of neutrons | No of electrons |
|------------------|-----------|---------|---------------|----------------|-----------------|
| uranium-235 | 92 | 235 | 92 | 143 | 92 |
| uranium-238 | 92 | 238 | 92 | 146 | 92 |
| boron-10 | 5 | 10 | 5 | 5 | 5 |
| boron-11 | 5 | 11 | 5 | 6 | 5 |
✔ All entries are correct.
- For neutral atoms:
- Number of protons = atomic number
- Number of electrons = number of protons
- Number of neutrons = mass number – atomic number
✔️ Verified:
- Uranium-235: 235 – 92 = 143 neutrons
- Uranium-238: 238 – 92 = 146 neutrons
- Boron-10: 10 – 5 = 5 neutrons
- Boron-11: 11 – 5 = 6 neutrons
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Chlorine has two isotopes:
- \( ^{35}\text{Cl} \): abundance = 75%, mass = 35
- \( ^{37}\text{Cl} \): abundance = 25%, mass = 37
Relative atomic mass = (abundance₁ × mass₁) + (abundance₂ × mass₂)
\[
= (0.75 \times 35) + (0.25 \times 37)
= 26.25 + 9.25 = 35.5
\]
✔ Answer: 35.5 ✔️
But note: The problem says “calculate the relative atomic mass of strontium”, but it gives data for chlorine!
✘ This is a mistake in the question.
Strontium is a different element (Sr, atomic number 38), and its isotopes are not mentioned here.
So, the correct interpretation is:
> "Calculate the relative atomic mass of chlorine."
✔ Final answer: 35.5 (correctly calculated, but mislabeled as strontium)
---
Boron has:
- Boron-10: mass = 10, abundance = 18.7% = 0.187
- Boron-11: mass = 11, abundance = 81.3% = 0.813
\[
\text{Relative atomic mass} = (0.187 \times 10) + (0.813 \times 11)
= 1.87 + 8.943 = 10.813
\]
✔ Answer: 10.813 ✔️
This matches the given answer.
---
| Question | Given Answer | Correct Answer | Explanation |
|--------|--------------|----------------|-------------|
| 1d | 12 | 6 protons, 6 neutrons | Misinterpreted; must separate protons and neutrons |
| 1e | 13 | 6 protons, 7 neutrons | Same error |
| 1f | 14 | 6 protons, 8 neutrons | Same error |
| 3 | 35.5 | 35.5 | Calculation correct, but question incorrectly says "strontium" instead of "chlorine" |
---
#### 1.
a. Carbon
b. Atomic number
c. Mass number
d. 6 protons, 6 neutrons
e. 6 protons, 7 neutrons
f. 6 protons, 8 neutrons
#### 2. Table is correct as filled.
#### 3. Relative atomic mass of chlorine = 35.5
(Not strontium — that's a typo in the question.)
#### 4. Relative atomic mass of boron = 10.813 ✔
---
Let me know if you'd like this worksheet reformatted or printed as a corrected version!
---
Problem 1: Isotopes of Carbon
Given isotopes:
- \( ^{12}_{6}\text{C} \)
- \( ^{13}_{6}\text{C} \)
- \( ^{14}_{6}\text{C} \)
#### a. The element is: Carbon ✔
✔️ Correct — all three isotopes have atomic number 6, which corresponds to carbon.
#### b. The number 6 refers to the atomic number ✔
✔️ Correct — the atomic number indicates the number of protons.
#### c. The numbers 12, 13, and 14 refer to the mass number ✔
✔️ Correct — the mass number is the total number of protons and neutrons.
#### d. How many protons and neutrons are in the first isotope?
- Isotope: \( ^{12}_{6}\text{C} \)
- Protons = atomic number = 6
- Neutrons = mass number – protons = 12 – 6 = 6
✘ Incorrect answer given: "12"
👉 Should be: 6 protons and 6 neutrons
#### e. Second isotope: \( ^{13}_{6}\text{C} \)
- Protons = 6
- Neutrons = 13 – 6 = 7
✘ Answer given: "13"
👉 Should be: 6 protons and 7 neutrons
#### f. Third isotope: \( ^{14}_{6}\text{C} \)
- Protons = 6
- Neutrons = 14 – 6 = 8
✘ Answer given: "14"
👉 Should be: 6 protons and 8 neutrons
✔ Corrected Answers:
- d. 6 protons, 6 neutrons
- e. 6 protons, 7 neutrons
- f. 6 protons, 8 neutrons
---
Problem 2: Complete the Table
| Isotope name | Atomic no | Mass no | No of protons | No of neutrons | No of electrons |
|------------------|-----------|---------|---------------|----------------|-----------------|
| uranium-235 | 92 | 235 | 92 | 143 | 92 |
| uranium-238 | 92 | 238 | 92 | 146 | 92 |
| boron-10 | 5 | 10 | 5 | 5 | 5 |
| boron-11 | 5 | 11 | 5 | 6 | 5 |
✔ All entries are correct.
- For neutral atoms:
- Number of protons = atomic number
- Number of electrons = number of protons
- Number of neutrons = mass number – atomic number
✔️ Verified:
- Uranium-235: 235 – 92 = 143 neutrons
- Uranium-238: 238 – 92 = 146 neutrons
- Boron-10: 10 – 5 = 5 neutrons
- Boron-11: 11 – 5 = 6 neutrons
---
Problem 3: Relative Atomic Mass of Chlorine
Chlorine has two isotopes:
- \( ^{35}\text{Cl} \): abundance = 75%, mass = 35
- \( ^{37}\text{Cl} \): abundance = 25%, mass = 37
Relative atomic mass = (abundance₁ × mass₁) + (abundance₂ × mass₂)
\[
= (0.75 \times 35) + (0.25 \times 37)
= 26.25 + 9.25 = 35.5
\]
✔ Answer: 35.5 ✔️
But note: The problem says “calculate the relative atomic mass of strontium”, but it gives data for chlorine!
✘ This is a mistake in the question.
Strontium is a different element (Sr, atomic number 38), and its isotopes are not mentioned here.
So, the correct interpretation is:
> "Calculate the relative atomic mass of chlorine."
✔ Final answer: 35.5 (correctly calculated, but mislabeled as strontium)
---
Problem 4: Relative Atomic Mass of Boron
Boron has:
- Boron-10: mass = 10, abundance = 18.7% = 0.187
- Boron-11: mass = 11, abundance = 81.3% = 0.813
\[
\text{Relative atomic mass} = (0.187 \times 10) + (0.813 \times 11)
= 1.87 + 8.943 = 10.813
\]
✔ Answer: 10.813 ✔️
This matches the given answer.
---
✔ Summary of Corrections and Explanations:
| Question | Given Answer | Correct Answer | Explanation |
|--------|--------------|----------------|-------------|
| 1d | 12 | 6 protons, 6 neutrons | Misinterpreted; must separate protons and neutrons |
| 1e | 13 | 6 protons, 7 neutrons | Same error |
| 1f | 14 | 6 protons, 8 neutrons | Same error |
| 3 | 35.5 | 35.5 | Calculation correct, but question incorrectly says "strontium" instead of "chlorine" |
---
🟩 Final Corrected Answers:
#### 1.
a. Carbon
b. Atomic number
c. Mass number
d. 6 protons, 6 neutrons
e. 6 protons, 7 neutrons
f. 6 protons, 8 neutrons
#### 2. Table is correct as filled.
#### 3. Relative atomic mass of chlorine = 35.5
(Not strontium — that's a typo in the question.)
#### 4. Relative atomic mass of boron = 10.813 ✔
---
Let me know if you'd like this worksheet reformatted or printed as a corrected version!
Parent Tip: Review the logic above to help your child master the concept of isotope worksheet.