Question

directions: for the following problems, show your work! be thorough.

1. naturally occurring europium (eu) consists of two isotopes was a mass of 151 and 153. europium - 151 has an abundance of 48.03% and europium - 153 has an abundance of 51.97%. what is the atomic mass of europium?
2. strontium consists of four isotopes with masses of 84 (abundance 0.50%), 86 (abundance of 9.9%), 87 (abundance of 7.0%), and 88 (abundance of 82.6%). calculate the atomic mass of strontium.
3. titanium has five common isotopes: ( ^{46}\text{ti} (8.0%) ), ( ^{47}\text{ti} (7.8%) ), ( ^{48}\text{ti} (73.4%) ), ( ^{49}\text{ti} (5.5%) ), ( ^{50}\text{ti} (5.3%) ). what is the average atomic mass of titanium?
4. calculate the atomic mass of copper if copper - 63 is 69.17% abundant and copper - 65 is 30.83% abundant.
5. lithium - 6 is 4% abundant and lithium - 7 is 96% abundant. what is the average mass of lithium?

Explanation:

Step1: <Formula for atomic mass>

The formula for calculating the atomic mass of an element with isotopes is \( \text{Atomic Mass}=\sum(\text{Mass of Isotope}\times\text{Abundance of Isotope}) \)

Step2: <Calculate for Europium>

For Europium (\(Eu\)):

$$
LATEXBLOCK0
$$

Step3: <Calculate for Strontium>

For Strontium (\(Sr\)):

$$
LATEXBLOCK1
$$

Step4: <Calculate for Titanium>

For Titanium (\(Ti\)):

$$
LATEXBLOCK2
$$

Step5: <Calculate for Copper>

For Copper (\(Cu\)):

$$
LATEXBLOCK3
$$

Step6: <Calculate for Lithium>

For Lithium (\(Li\)):

$$
LATEXBLOCK4
$$

Answer:

1. The atomic mass of Europium is \(152.04\)
2. The atomic mass of Strontium is \(87.712\)
3. The average atomic mass of Titanium is \(47.923\)
4. The atomic mass of Copper is \(63.62\)
5. The average mass of Lithium is \(6.96\)