Compare the rate of loss of heat by one degree from a cup of hot coffee when it is at `100^@C` and at `40^@C` , in a room at `10^@C` . Consider the coffee to act as a black body.

Explanation

To compare the rate of loss of heat by one degree from a cup of hot coffee at two different temperatures (100°C and 40°C) in a room at 10°C, we can use the Stefan-Boltzmann law for black bodies. The rate of heat loss can be expressed as:

\[ H = \sigma A (T^4 - T_0^4) \]

Where:
- \( H \) is the rate of heat loss,
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