(a) The probability that a molecule in the atmosphere is at a height between z and z + dz above the surface of the Earth is proportional to e-z/^ dz (capital Greek lambda). Determine the constant of proportionality. Sketch this distribution.

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A: The poisson probability distribution is given by:P(X=x)=e-λ×λxx!.......(1)

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A: Given: The measured value: P=1.543780 Pa The uncertainty: ∆P=0.055000

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A: Given data: Density, ρs=4a3πs2e-as2 Here, a=m2kT

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A: Number of microstates,Ω= Ae{B(VE)1/2}Now the entropy is,S=kBln Ω= kBln [Ae{B(VE)1/2}]or S= kBln A+…

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A: Ans:- Image-1

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A: The Taylor expansion provided here is correct. As per the figure provided -0 See, In the first…

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