Final answer:
The amount of infrared radiation emitted by an object is directly proportional to the fourth power of its absolute temperature, with increased surface area also leading to increased radiation.
Step-by-step explanation:
The relationship between the temperature of an object and the amount of infrared radiation emitted is directly proportional. More specifically, according to the Stefan-Boltzmann law, the radiation rate is directly proportional to the fourth power of the object's absolute temperature. This means that if the temperature of an object increases, the amount of infrared radiation it emits also increases significantly. Additionally, the radiated heat is proportional to the surface area of the object, thus when you increase the surface area, such as by spreading the coals of a fire, the radiation also increases noticeably.