If you were floating around in empty space, how long would it take before most of your body freezes into ice, assuming that no biochemical processes take place in the body?

**Details and Assumptions**:

The human body can be modeled as \(70 \text{ kg}\) of water, around \(310 \text{ K}\), that is \( 37\text{ K}\) above the freezing point of water, radiating like a blackbody.

The surface area of the body is about \(2\ \text{m}^2\).

Useful constants include \(c_w = 4180\ \text{J kg/K}\) and \(\sigma = 5.67\times 10^{-8}\ \text{W/m}^2\ \text{K}^4\).

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