Thank you for visiting A small micro reactor utilizes thin UO2 plate fuel elements that measure 1x25x25 cm² The fuel elements are sandwiched between layers of steel clad such. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
The temperature drop across the fuel plate is 375,000 K. The power density of each fuel plate is 300,000 W/m³.
To calculate the temperature drop across the fuel plate, we can use the formula for one-dimensional steady-state heat conduction:
Q = kA (dT/dx)
Where:
Q = Heat flux (W/m²)
k = Thermal conductivity (W/m·K)
A = Cross-sectional area (m²)
dT/dx = Temperature gradient (K/m)
Given:
Heat flux (Q) = 75,000 W/m²
Cross-sectional area (A) = 0.01 m² (1 cm x 25 cm)
Thermal conductivity of UO2 (k) = 5.0 W/m·K
We need to calculate the temperature drop (dT/dx) across the fuel plate.
Rearranging the equation:
dT/dx = Q / (k A)
Substituting the given values:
dT/dx = 75,000 W/m² / (5.0 W/m·K × 0.01 m²)
Simplifying the equation:
dT/dx = 1,500,000 K/m
The temperature drop (dT) across the fuel plate is the temperature gradient multiplied by the thickness (x):
dT = (dT/dx)x
Given that the thickness of the fuel plate is 25 cm = 0.25 m, we can calculate the temperature drop:
dT = (1,500,000 K/m) × 0.25 m
dT = 375,000 K
Therefore, the temperature drop across the fuel plate is 375,000 K.
Now, let's calculate the power density of each fuel plate.
Power density is defined as the power per unit volume. In this case, we can calculate it as the heat flux divided by the thickness:
Power density = Q / x
Substituting the given values:
Power density = 75,000 W/m² / 0.25 m
Power density = 300,000 W/m³
Therefore, the power density of each fuel plate is 300,000 W/m³.
To know more about temperature:
https://brainly.com/question/7510619
#SPJ4
Thank you for reading the article A small micro reactor utilizes thin UO2 plate fuel elements that measure 1x25x25 cm² The fuel elements are sandwiched between layers of steel clad such. We hope the information provided is useful and helps you understand this topic better. Feel free to explore more helpful content on our website!
- You are operating a recreational vessel less than 39 4 feet long on federally controlled waters Which of the following is a legal sound device
- Which step should a food worker complete to prevent cross contact when preparing and serving an allergen free meal A Clean and sanitize all surfaces
- For one month Siera calculated her hometown s average high temperature in degrees Fahrenheit She wants to convert that temperature from degrees Fahrenheit to degrees
Rewritten by : Jeany
