## Change in Temp

Consider a square block with a surface area of 10 m^2 has a heat-transfer coefficient of 100 W/m^2∙K. What is the block’s change in temperature (K) if 40 kW is applied?

Expand Hint
The units for the heat-transfer coefficient in the problem statement provide some insights on the math operations needed.
Hint 2
$$\dot{Q}=hA\Delta T$$$where $$h$$ is the convection heat transfer coefficient of the fluid, $$A$$ is the convection surface area, $$\Delta T$$ is the change in temperature. Newton's Law of Cooling: $$\dot{Q}=hA\Delta T$$$
where $$h$$ is the convection heat transfer coefficient of the fluid, $$A$$ is the convection surface area, $$\Delta T$$ is the change in temperature.
$$40,000W=(100\frac{W}{m^2\cdot K})(10m^2)\Delta T$$$$$\Delta T=\frac{40,000K}{1,000}=40\:K$$$
40 K
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