A thin, square metal plate measures 15 cm on each side and has emissivity of 0.80. The plate is heated to a temperature of 605°C. What is the rate at which the plate radiates energy? The Stefan-Boltzmann constant is 5.67 * 10-8 W / (m2 ∙ K4). Remember that the plate will radiate energy from both its top and bottom surfaces.

Question

Physics

Cristal

26 January, 14:22

A thin, square metal plate measures 15 cm on each side and has emissivity of 0.80. The plate is heated to a temperature of 605°C. What is the rate at which the plate radiates energy? The Stefan-Boltzmann constant is 5.67 * 10-8 W / (m2 ∙ K4). Remember that the plate will radiate energy from both its top and bottom surfaces.

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Belen Massey · Answer 1

L = 15cm = 0.15m

A = 0.15 * 0.15 = 0.0225

Sradiation is transfered from bottom

σ = 5.67 * 10⁻⁸ W/m²k

T = 605 c = 878k

Rate of energy transfer

Q = σ * A * E * T⁴

5.67 * 10⁻⁸ * 0.0225 * 2 * 0.8 * 878⁴

1792.17 W