## 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?

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__**Expand Hint**

**Expand Hint**

The units for the heat-transfer coefficient in the problem statement provide some insights on the math operations needed.

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__**Hint 2**

**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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