Question

A cube at 86 °C radiates heat at a rate of 71 J/s. If its surface temperature is increased to 175 °C, the rate at which it will now radiate is closest to​

Answer 1

To calculate the rate at which the cube will radiate heat when its surface temperature is increased, we can use the Stefan-Boltzmann law. According to the law, the rate of heat radiation is proportional to the fourth power of the absolute temperature.

Let's denote the initial temperature as T₁ = 86 °C + 273.15 (converting to Kelvin) and the final temperature as T₂ = 175 °C + 273.15.

To find the ratio of the rates, we can use the following formula:

(Rate₂ / Rate₁) = (T₂ / T₁)⁴

Now, let's substitute the values and calculate the rate at which the cube will radiate heat when its surface temperature is increased.