High School

How many dozens of apples are there in a 5,000 lbs (2,268 g) bag?
(1 dozen of apples = 2,112 g)

Silver exists as two isotopes with atomic masses of 106.9041 and 108.9047 amu. Determine the average atomic mass for silver if the abundance for each isotope is 51.82% and 48.18%, respectively.

Answer :

1. There are 4.85 dozens of apples are there in a 5.000 lbs (2268 g) bag.

(1 dozen of apples =2112 g)

2. Silver exists as two isotopes with atomic masses of 106.9041 and 108.9047 amu. The average atomic mass for silver if the % abundance for each isotope is 51.82 and 48.18 %, respectively is 107.8682 amu.

1. To find the number of dozens of apples in a 5.000 Lbs (2268g) bag, we first need to convert the weight of the bag to grams. 1 Lbs is equal to 453.59237 grams, so the weight of the bag in grams is:

1 dozen of apples = 2112 g

Bag weight = 2268 g

2268 g * (453.59237 g/Lbs) = 10256.99958 Lbs

We are given that 1 dozen of apples is equal to 2112 grams, so we can divide the weight of the bag by the weight of a dozen of apples to find the number of dozens of apples in the bag:

10256.99958 g / 2112 g/dozen = 4.85 dozens

So, there are 4.85 dozens of apples in a 5.000 Lbs (2268g) bag.

2. Average Atomic Mass for Silver:

Atomic mass of isotope 1 (mass 1) = 106.9041 amu

Atomic mass of isotope 2 (mass 2) = 108.9047 amu

% abundance of isotope 1 = 51.82%

% abundance of isotope 2 = 48.18%

The average atomic mass ([tex]A_a_v_g[/tex]) can be calculated using the formula:

[tex]A_a_v_g[/tex] = (mass 1) * (% abundance 1) + (mass 2) * (% abundance 2)

Convert the percentages to decimals (divide by 100):

% abundance 1 = 51.82% = 0.5182

% abundance 2 = 48.18% = 0.4818

Calculate the average atomic mass:

[tex]A_a_v_g[/tex] = (106.9041 amu) * (0.5182) + (108.9047 amu) * (0.4818)

[tex]A_a_v_g[/tex] = 107.8682 amu

The average atomic mass for silver is approximately 107.8682 amu.

To know more about isotopes here

https://brainly.com/question/27475737

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The complete question is:

1. How many dozens of apples are there in a 5.000 lbs (2268 g) bag?

(1 dozen of apples =2112 g)

2. Silver exists as two isotopes with atomic masses of 106.9041 and 108.9047 amu. Determine the average atomic mass for silver if the % abundance for each isotope is 51.82 and 48.18 %, respectively?