Percent composition of Silver (two naturally occurring isotopes)

In summary, to determine the mass of Ag-109, we use the atomic mass of silver listed in the periodic table and the natural abundance of Ag-107 (51.84%) and Ag-109. Using this information, we can set up the equation [107.868 - (106.905 * 0.5184) - (x * y)] / (0.5184 + y) = Ag-109 mass, where x represents the natural abundance of Ag-109 and y is the natural abundance of Ag-109. Solving for x, we get a value of 0.4816, which represents the natural abundance of Ag-109. Therefore, the mass of Ag-109 is 108.905
  • #1
sp3sp2sp
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Homework Statement


Silver has two naturally occurring isotopes: Ag−107 with a mass of 106.905 amu and a natural abundance of 51.84 %, and Ag−109. Use the atomic mass of silver listed in the periodic table to determine the mass of Ag−109.
express answer to 4 sig-figs and use appropriate units

Homework Equations


ATomic mass of silver is listed in PT as 107.868

The Attempt at a Solution


x = [107.868 - (106.905 * 0.5184)] / 0.4184

x = 125.4amu

= wrong

not sure what I am doing wrong, thanks for any help
 
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  • #2
sp3sp2sp said:

Homework Statement


Silver has two naturally occurring isotopes: Ag−107 with a mass of 106.905 amu and a natural abundance of 51.84 %, and Ag−109. Use the atomic mass of silver listed in the periodic table to determine the mass of Ag−109.
express answer to 4 sig-figs and use appropriate units

Homework Equations


ATomic mass of silver is listed in PT as 107.868

The Attempt at a Solution


x = [107.868 - (106.905 * 0.5184)] / 0.4184

x = 125.4amu
= wrong

not sure what I am doing wrong, thanks for any help
If there are only two naturally occurring isotopes, and one of them, Ag-107 has natural abundance of 51.84 %, then what is the natural abundance of the other naturally occurring isotope, Ag-109 ?
 

1. What is the percent composition of silver?

The percent composition of silver is the relative abundance of each naturally occurring isotope of silver in a given sample. This can be calculated by dividing the mass of each isotope by the total mass of the sample and expressing it as a percentage.

2. How many naturally occurring isotopes of silver are there?

Silver has two naturally occurring isotopes: silver-107 and silver-109. Silver-107 makes up about 51% of the total silver in nature, while silver-109 makes up the remaining 49%.

3. What is the atomic mass of silver?

The atomic mass of silver is 107.8682 grams per mole. This is the weighted average of the masses of the two naturally occurring isotopes of silver, taking into account their relative abundance.

4. How is the percent composition of silver important?

The percent composition of silver is important because it can provide information about the origin and purity of a sample. It can also be used in various industries, such as jewelry making, to ensure the desired level of silver content.

5. How can the percent composition of silver be determined?

The percent composition of silver can be determined using various analytical techniques, such as mass spectrometry or atomic absorption spectroscopy. These methods involve separating the different isotopes of silver and measuring their relative abundance in a sample.

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