A thin, square metal plate measures 14 cm on each side and has emissivity of 0.60. The plate is heated to a temperature of 745°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

Nikolai Montgomery

Physics

2 April, 22:48

A thin, square metal plate measures 14 cm on each side and has emissivity of 0.60. The plate is heated to a temperature of 745°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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Emerson Martinez · 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