Molecular Physics | Thermodynamics Answers

Consider four uniformly charged plates oriented normal to the x-axis as shown. The drawing scale exaggerates the size of the

lengths along x compared to sizes along y

and z. Let L=1.0m, d=1.0mm, Q1=3.0C,

Q2=-3.0C, Q3=8.0C, and Q4=-6.0C. The positions of the plates are at x1, x2, x3 and x4.

1. a) Find the 2D charge density of each plate
2. b) Findthenetelectricfieldinregion
3. x2 <x<x3. 

35g of water at 0 degree Celsius is completely converted to ice at 0 degree Celsius by extracting 2 kilo joules of heat from it. If the specific heat capacity of water is 4200 joules per kilogram per Kelvin, calculate the specific latent heat of fusion of ice

In the figure here, a block of ice slides down a frictionless ramp at angle θ=59.0 ˚ while an ice worker pulls on the block (via a rope) with a force that has a magnitude of 52.0 N and is directed up the ramp. As the block slides down through distance d = 0.500 m along the ramp, its kinetic energy increases by 84.0 J. How much greater would its kinetic energy have been if the rope had not been attached to the block?

Two indistinguishable particles are to be placed in five cells. Enumerate the possible macrostates and the corresponding microstates. 

For a Bose-Einstein system, the expression for the thermodynamic probability is + − =  − ( 1)! !( 1)! i i i i g N W N g Derive an expression for the Bose-Einstein distribution function

Calculate the partition function, free energy, entropy, C_v and Cp of N linear

harmonic oscillators.

Two indistinguishable particles are to be placed in five cells. Enumerate the

possible macrostates and the corresponding microstates

A box of volume 1 cm³ contains 5.2×10²¹ electrons. Calculate their Fermi

momentum and Fermi energy. Take m_e=9.1*10^-28g ,m_n=1.67×10^-24g 1.67×10^-27 ergs.

For a Bose-Einstein system, the expression for the thermodynamic probability is

W=(3.14)((g_i+N_i-1)!/(N_i!(g_i-1)!))

Derive an expression for the Bose-Einstein distribution function.

Derive Clausius-Clapeyron equation. Explain why the boiling point of water

increases with increasing pressure.