Question

Radiation makes it impossible to stand close to a hot lava flow. Calculate the rate of heat transfer by radiation from 1.00 m^2 of 1250°C fresh lava into 34.0°C surroundings, assuming lava's emissivity is 1.00

Answer 1

To calculate the rate of heat transfer by radiation from lava, use the Stefan-Boltzmann law and the given values for temperature and emissivity.

Step-by-step explanation:

In order to calculate the rate of heat transfer by radiation, we can use the Stefan-Boltzmann law:

Q = εσA(T14 - T24)

where Q is the rate of heat transfer, ε is the emissivity, σ is the Stefan-Boltzmann constant (approximately 5.67 x 10-8 W/m2K4), A is the surface area, T1 is the temperature of the lava, and T2 is the temperature of the surroundings.

Plugging in the given values:

Q = 1 x (5.67 x 10-8) x (1.00) x (1250 + 273)4 - (34 + 273)4)

Solving this equation will give us the rate of heat transfer by radiation from 1.00 m² of 1250°C lava into 34.0°C surroundings.