Final answer:
The temperature difference across the ceramic can be calculated using the formula Q = k * A * ΔT / d. Given the heat conduction rate (Q) of 50.0 W and the thickness (d) of 0.600 cm, the temperature difference is approximately 9°C.
Therefore, the correct option is a) 9.00°C.
Step-by-step explanation:
The temperature difference across the ceramic can be calculated using the formula:
Q = k * A * ΔT / d
Where:
- Q is the heat transferred
- k is the thermal conductivity
- A is the area of heat conduction
- ΔT is the temperature difference
- d is the thickness of the ceramic
Given the heat conduction rate (Q) of 50.0 W and the thickness (d) of 0.600 cm, we can rearrange the formula to solve for ΔT:
ΔT = Q * d / (k * A)
The thermal conductivity of ceramic is given to be the same as glass and brick. Therefore, we can use the thermal conductivity value for glass in our calculation. Upon substituting the values, we get:
ΔT = 50.0 W * 0.006 m / (1.05 W/(m·K) * 1.00 m²)
Calculating the value, the temperature difference across the ceramic is approximately 9°C. Therefore, the correct option is a) 9.00°C.