Questions: There are only two naturally-occuring stable isotopes of thallium, the masses of which are listed in the table below. Use whatever data you need from the ALEKS Periodic Table to calculate the natural abundance of each isotope and complete the table. Round your entry for ^203Ti to 2 significant digits and your entry for ^205Tl to 2 significant digits. isotope mass (amu) natural abundance --------- ^203Tl 202.97 % ^205Tl 204.97 %

There are only two naturally-occuring stable isotopes of thallium, the masses of which are listed in the table below. Use whatever data you need from the ALEKS Periodic Table to calculate the natural abundance of each isotope and complete the table. Round your entry for ^203Ti to 2 significant digits and your entry for ^205Tl to 2 significant digits. isotope mass (amu) natural abundance --------- ^203Tl 202.97 % ^205Tl 204.97 %
Transcript text: There are only two naturally-occuring stable isotopes of thallium, the masses of which are listed in the table below. Use whatever data you need from the ALEKS Periodic Table to calculate the natural abundance of each isotope and complete the table. Round your entry for ${ }^{203} \mathrm{Ti}$ to 2 significant digits and your entry for ${ }^{205} \mathrm{Tl}$ to 2 significant digits. \begin{tabular}{|c|c|c|} \hline isotope & \begin{tabular}{c} mass \\ (amu) \end{tabular} & \begin{tabular}{c} natural \\ abundance \end{tabular} \\ \hline${ }^{203} \mathrm{Tl}$ & 202.97 & $\square \%$ \\ \hline${ }^{205} \mathrm{Tl}$ & 204.97 & $\square \%$ \\ \hline \end{tabular}
failed

Solution

failed
failed

Solution Steps

Step 1: Determine the Average Atomic Mass of Thallium

The average atomic mass of thallium (Tl) can be found on the periodic table. For this calculation, we will use the average atomic mass of thallium, which is approximately 204.38 amu.

Step 2: Set Up the Equations

Let \( x \) be the natural abundance of \( {}^{203}\mathrm{Tl} \) and \( y \) be the natural abundance of \( {}^{205}\mathrm{Tl} \). Since these are the only two isotopes, their abundances must add up to 100%:

\[ x + y = 100 \]

The average atomic mass can be expressed as a weighted average of the masses of the isotopes:

\[ 202.97x + 204.97y = 204.38 \times 100 \]

Step 3: Solve the System of Equations

First, express \( y \) in terms of \( x \):

\[ y = 100 - x \]

Substitute \( y \) into the weighted average equation:

\[ 202.97x + 204.97(100 - x) = 20438 \]

Simplify and solve for \( x \):

\[ 202.97x + 20497 - 204.97x = 20438 \]

\[ -2x + 20497 = 20438 \]

\[ -2x = -59 \]

\[ x = 29.5 \]

Now, solve for \( y \):

\[ y = 100 - 29.5 = 70.5 \]

Final Answer

The natural abundance of each isotope is:

\[ \boxed{{}^{203}\mathrm{Tl} = 29.5\%} \]

\[ \boxed{{}^{205}\mathrm{Tl} = 70.5\%} \]

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
The nurse is gathering data from a client on the first day after a thoracotomy. The client has a temperature of 100 degrees F (37.8 degrees C); heart rate, 96 beats/minute; blood pressure, 136 / 86 mm Hg; and shallow respirations at 24 breaths/minute, with rhonchi at the bases, and reports incisional pain. Which nursing action has priority? Help the client get out of bed. Medicate the client for pain. Encourage the client to cough and deep breathe. Give ibuprofen as ordered to reduce the fever.
failedAnswered
7) y=3x k=3 9) y/x=5 11) y=3/5 x
failedAnswered
Homework: HW Section 2.1b Question 4, 2.1.92-LS Part 3 of 4 Points: 0.5 of 1 The percentage s of seats in the House of Representatives won by Republicans and the percentage v of votes cast for Republicans (when expressed as decimal fractions) are related by the following equation. 25v-16s=4.3 0<s<1,0.172<v<0.812 (A) Express v as a function of s and find the percentage of votes required for Republicans to win 51% of the seats. v(s)=.64s+.172 For Republicans to win 51% of the seats, they need to receive 49.8% of the votes. (B) Express s as a function of v. s(v)=
failedAnswered
8- Resala is an Egyptian school which helps the poor. 9- Some boys adore football, others are keen on handball. 10- Thanks for 11- A blood donor is someone who gives his blood to the injured. 12- People all over the world like football. 13- The place where you were born and grew is called your 14- We can win the match easily if our players are fit. 15- We should praise people who make great achievements. 16- Professional players are paid much money. 17- Cancer is a fatal disease as it is incurable. 18- Our team scored two goals and won the match. 20- You should study hard to achieve your goal.
failedAnswered
Preform the following calculations on the sample below. Round to two decimals. (8,10,5,3,-2,-1,4,0,3,1) a) What is the sample size of the dataset? Ans: [Select] b) What is the mean of the dataset? Ans: [Select ] c) What is the median of the dataset? Ans: [Select] d) What is the variance of the dataset? Ans: [Select] e) What is the mode of the dataset? Ans: [Select] f) Find the 10th percentile of the dataset. Ans: g) Find the 75th percentile of the dataset. Ans: [Select]