Questions: 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 mass (amu) relative abundance --------- ^124 mathrmSn 123.91 92.0% ^115 mathrmSn 114.90 8.0% Use these measurements to complete the entry for tin in the Periodic Table that would be used on 98765 ALEKS. Round your entry for the atomic mass to 3 significant digits. Caution: your correct answer will have the same format but not necessarily the same numbers as the entry for tin in the Periodic Table we use here on Earth.

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 mass (amu) relative abundance --------- ^124 mathrmSn 123.91 92.0% ^115 mathrmSn 114.90 8.0% Use these measurements to complete the entry for tin in the Periodic Table that would be used on 98765 ALEKS. Round your entry for the atomic mass to 3 significant digits. Caution: your correct answer will have the same format but not necessarily the same numbers as the entry for tin in the Periodic Table we use here on Earth.
Transcript text: 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: \begin{tabular}{|c|c|c|} \hline isotope & \begin{tabular}{c} mass \\ $(\mathrm{amu})$ \end{tabular} & \begin{tabular}{c} relative \\ abundance \end{tabular} \\ \hline${ }^{124} \mathrm{Sn}$ & 123.91 & $92.0 \%$ \\ \hline${ }^{115} \mathrm{Sn}$ & 114.90 & $8.0 \%$ \\ \hline \end{tabular} Use these measurements to complete the entry for tin in the Periodic Table that would be used on 98765 ALEKS. Round your entry for the atomic mass to 3 significant digits. Caution: your correct answer will have the same format but not necessarily the same numbers as the entry for tin in the Periodic Table we use here on Earth. $\square$
failed

Solution

failed
failed

Solution Steps

Step 1: Identify the Given Data

We are given the following data for the isotopes of tin:

  • Isotope \( {}^{124}\mathrm{Sn} \) with a mass of 123.91 amu and a relative abundance of 92.0%
  • Isotope \( {}^{115}\mathrm{Sn} \) with a mass of 114.90 amu and a relative abundance of 8.0%
Step 2: Convert Relative Abundance to Decimal Form

Convert the relative abundances from percentages to decimal form:

  • For \( {}^{124}\mathrm{Sn} \): \( 92.0\% = 0.920 \)
  • For \( {}^{115}\mathrm{Sn} \): \( 8.0\% = 0.080 \)
Step 3: Calculate the Weighted Average Atomic Mass

The atomic mass of tin on 98765 ALEKS is calculated using the weighted average formula: \[ \text{Atomic Mass} = (123.91 \times 0.920) + (114.90 \times 0.080) \]

Step 4: Perform the Calculations

Calculate each term separately: \[ 123.91 \times 0.920 = 114.0002 \] \[ 114.90 \times 0.080 = 9.1920 \]

Add these results together to find the weighted average atomic mass: \[ \text{Atomic Mass} = 114.0002 + 9.1920 = 123.1922 \]

Step 5: Round to 3 Significant Digits

Round the atomic mass to 3 significant digits: \[ \text{Atomic Mass} \approx 123 \]

Final Answer

\[ \boxed{123} \]

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
According to previous studies, the mean distance each visitor in Greenspan National Park hikes during their visit is 30 kilometers. The park recently closed its shuttle system, which used to transport hikers to many of the park's most popular hiking trails. Because of this, an administrator at the park suspects the mean distance, μ, is now less than 30 kilometers. The administrator chooses a random sample of 45 visitors. The mean distance hiked for the sample is 27.2 kilometers. Assume the population standard deviation is 9.9 kilometers. Can the administrator conclude that the mean distance hiked by each visitor is now less than 30 kilometers? Perform a hypothesis test, using the 0.10 level of significance. (a) State the null hypothesis H0 and the alternative hypothesis H1.
failedAnswered
What is the MOST LIKELY reason the author wrote this passage? to explain what happens during a thunderstorm to entertain readers with a scary story about storms to give information about what to do in a thunderstorm to convince readers not to be afraid of thunder
failedAnswered
Which of Newton's laws does the equilibrium rule illustrate? View Available Hint(s) Newton's third law Newton's law of gravity Newton's first law Newton's second law
failedAnswered
A circular pool measures 18 feet across. One cubic yard of concrete is to be used to create a circular border of uniform width around the pool. If the border is to have a depth of 6 inches, how wide will the border be? (1 cubic yard = 27 cubic feet)
failedAnswered
The was an early and incorrect idea that the inherited characteristics of offspring are intermediate between maternal and paternal genetic characteristics.