vault backup: 2024-09-03 15:11:34

.obsidian/workspace.json

@@ -6,6 +6,7 @@
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@@ -185,8 +187,7 @@
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300s School/302. NUCE 2100 - Fundamentals of Nuclear Engineering/2024-09-03 Homework 1.md

@@ -50,6 +50,10 @@ $\left(8.98755 \times 10^{13} \text{ J } \right) \times \frac{1 \text{ kg }}{3 \
 	*a. To what nucleus does $^3\text{H}$ decay?*
 	[Helium-3](https://people.physics.anu.edu.au/~ecs103/chart/)
 	*b. What is the mass in grams of 1 mCi of tritium?*
+	First we need to find the decay constant for tritium:
+	$\lambda = \frac{0.693}{t_{1/2}}$
+	$\lambda_{^3H} = \frac{0.693 \text{ decays}}{12.26 \text{ years}} \times \frac{1 \text{ year}}{365 \text{ days}} \times \frac{1 \text{ day}}{24 \text{ hours}} \times \frac{1 \text{ hour}}{3600 \text{ seconds}} =\frac{0.693 \text{ decays}}{386631360 \text{ s}}$
+	$1 \text{ mCi } \times$
 	
 **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:**