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How much faster does a cup of coffee coo...

How much faster does a cup of coffee cool off from `100^(@)C` than from `30^(@)C`? Assume the coffee to act as a black body and temp. of surrounding = `20^(@)C`.

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To determine how much faster a cup of coffee cools from `100°C` compared to `30°C`, we can use the Stefan-Boltzmann law, which relates the rate of heat loss to the temperature difference between the object and its surroundings. ### Step-by-Step Solution: 1. **Convert Temperatures to Kelvin**: - For `100°C`: \[ T_1 = 100 + 273 = 373 \, K ...
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