https://file.aiquickdraw.com/mathbot/file/1726339056207knej8e7d.jpg

To solve this problem, we need to calculate the weighted average atomic mass of tin (Sn) on planetesimal 98765 ALEKS using the given isotopic data.

### Given dataTo solve this problem, we need to calculate the weighted average atomic mass of tin (Sn) on planetesimal 98765 ALEKS using the given isotopic data.

### Given 
- **Isotope \( ^{120}\text{Sn} \):**
  - Mass = 119.9 amu
  - Relative abundance = 44.0%

- **Isotope \( ^{117}\text{Sn} \):**
  - Mass = 116.9 amu
  - Relative abundance = 56.0%

### Formula to calculate weighted average atomic mass:
\[
\text{Weighted average atomic mass} = \left( \frac{\text{mass of isotope 1} \times \text{relative abundance of isotope 1}}{100} \right) + \left( \frac{\text{mass of isotope 2} \times \text{relative abundance of isotope 2}}{100} \right)
\]

Substitute the values into the formula:

\[
\text{Weighted average atomic mass} = \left( \frac{119.9 \times 44.0}{100} \right) + \left( \frac{116.9 \times 56.0}{100} \right)
\]

Let's compute this step by step.The weighted average atomic mass of tin (Sn) on planetesimal 98765 ALEKS is **118.22 amu**.

Would you like further details or have any questions?

Here are five related questions you might find interesting:
1. How does the abundance of an isotope affect the atomic mass of an element?
2. Why are the atomic masses in the periodic table often not whole numbers?
3. What is the difference between atomic mass and mass number?
4. How do mass spectrometers measure isotopic masses and abundances?
5. What factors cause variations in isotopic abundances between different celestial bodies?

**Tip:** When calculating weighted averages, always make sure to express percentages as decimals (by dividing by 100).

A robot spacecraft returned samples from the planetesimal 98765 ALEKS, located in the outer Solar System. Mass-spectroscopic analysis produced the following data on the isotopes of tin in these samples: Isotope 120Sn: mass = 119.9 amu, relative abundance = 44%. Isotope 117Sn: mass = 116.9 amu, relative abundance = 56%. Use these measurements to complete the entry for tin in the Periodic Table that would be used on 98765 ALEKS.

Learn how to calculate the weighted average atomic mass of tin using isotopic data from planetesimal 98765 ALEKS. This problem involves using isotope masses and their relative abundances to determine the atomic mass, following the weighted average formula. Suitable for Grades 10-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation