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Heat loss by radiation depends on temperature. if we double the temperature of an object the rate of heat loss by radiation increases by a factor of:

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The rate of heat loss is proportional to T^4 where T is the temperature Hence, if we double the Temperature, T, then rate of heat loss will be 2^4 faster, or 16 times faster. Hence the rate of heat loss by radiation will increase by a factor of 16

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