## Heat Transferring

If the heat transfer coefficient is 80 W/[(m^2)(°C)], what is the heat transfer rate for 400°C hot air flowing across a 4 m^2 surface that is at 100°C?

##
__
__**Hint**

**Hint**

$$$\dot{Q}=hA\Delta T$$$

where
$$h$$
is the convection heat transfer coefficient of the fluid,
$$A$$
is the convection surface area,
$$\Delta T$$
is the change in temperature.

##
__
__**Hint 2**

**Hint 2**

You don’t need to convert to Kelvin units.

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.

$$$\dot{Q}=80\frac{W}{m^2C}(4m^2)(400^{\circ}C-100^{\circ}C)=96,000\:W$$$

96,000 W