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kiruha [24]
3 years ago
12

What is a Planck Distribution and how is it used to solve for black body radiation problems?

Engineering
1 answer:
zvonat [6]3 years ago
4 0

Answer:

Planks law:

   Planks law gives the theoretical distribution for emissive power of black body.The emissive power for is given as follows

Planks distribution as a function of wavelength for different temperature.

E_{\lambda,b}=\dfrac{C_1}{\lambda^5 [exp{\frac{C_2}{\lambda T}-1}]}

Where C_1 andC_2 is the constant.

Important points for Planks distribution

1.At the given wavelength when temperature increases then emissive power will increase.

2.When temperature is increases then then distribution shift towards the left side.

3. We can assume that sun as a black body at  5800 K.

 

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Explanation:

GIVEN DATA:

\dot m = 5000 kg/s

Assume Mechanical energy at exist is negligible

A) Take lake bottom as reference, and then kinetic and potential energy  are taken as zero.

change in mechanical energy is givrn as

e_{in} - e_{out} = \frac{P}{\rho} - 0 = gh = 9.81 \times 50( \frac{1 kJ/kg}{1000 m^2/s^2}

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B) \eta -{gen} = \frac{\eta_{overall}}{\eta_{gen}} = \frac{0.76}{0.95} = 0.80

c) \dot W_{shaft} = \eta_{overall} \left | \Delta \dot E_{mec} \right | = 0.80(2455)

\dot W_{shaft} = 1964 kW

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