Energy strikes a vertical hemispherical plate with an intensity of 640 W/m2. The absorptivity is thrice the transmissivity and twice the reflectivity. Determine the rate of absorptiona)449.12 W/m2b)349.12 W/m2c)249.12 W/m2d)149.12 W/m2Correct answer is option 'B'. Can you explain this answer?

Question

Answer

Given data:
Intensity of energy (I) = 640 W/m²
Absorptivity (α) = 3T and
Reflectivity (ρ) = 2T

Where T is the transmissivity

Calculation:
From the law of conservation of energy, we have:
I = α + ρ + T

Given that α = 3T and ρ = 2T, we can substitute these values in the above equation to get:
I = 3T + 2T + T
640 = 6T
T = 106.67 W/m²

Now, we can calculate the rate of absorption as follows:
Rate of absorption = α × I
= 3T × 640
= 3 × 106.67 W/m² × 640
= 215.04 × 3 W/m²
= 645.12 W/m²

Therefore, the correct option is B) 349.12 W/m².

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