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300s School/302. NUCE 2100 - Fundamentals of Nuclear Engineering/2024-09-03 Homework 1.md

@@ -27,3 +27,24 @@ Complete the problems below being sure to show your work. If you need to lookup
 $\frac{ ^{59}\text{Co}}{^{12}\text{C}} = \frac{58.93319}{12.00000} = 4.91110 \text{ times larger}$
 
 **3. How many atoms are there in 10g of $^{12}\text{C}$?**
+$10 \text{g} \times \frac{1 \text{ mol } ^{12}\text{C}}{12 \text{g}} \times \frac{0.6022045 \times 10^{24} \text{ atoms}}{1 \text{ mol } ^{12}\text{C}} = 5.0184 \times 10^{23} \text{ atoms of } ^{12} \text{C}$
+**4. A beaker contains 50 g of ordinary water.**
+	*a. How many moles of water are present?*
+	*b. How many hydrogen atoms?*
+	*c. How many deuterium atoms?*
+**5. Find the mass of an atom of $^{235}\text{U}$**
+	*a. in amu;*
+	*b. in grams.*
+**6. The complete combustion of 1 kg of bituminous coal releases about $3\times 10^7 \text{J}$ in heat energy. The conversion of 1 g of mass into energy is equivalent to the burning of how much coal?**
+**7. Tritium ($^3\text{H}$) decays by negative beta decay with a half-life of 12.26 years. The atomic weight of $^3\text{H}$ is 3.016.**
+	*a. To what nucleus does $^3\text{H}$ decay?*
+	*b. What is the mass in grams of 1 mCi of tritium?*
+**8. Approximately what mass of $^{90}\text{Sr}$ (T-1/2 = 28.8 years) has the same activity as 1g of $^{60}\text{Co}$ (T-1/2 = 5.26 years)?**
+**9. Using the chart of the nuclides, complete the following reactions. If a daughter nucleus is radioactive, indicate the complete decay chain:**
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