5 points total) The latent heat of vaporization (boiling) of helium at a pressure of 1 atm and a temperature of 4.2 K is 21.8 kJ kg-1 . The densities at 4.2 K of the liquid and vapor are 125 kg m-3 and 19 kg m-3 respectively. a. (2 points) What proportion of latent heat is involved in work against the interatomic attraction? b. (2 points) Estimate the depth e of the potential well which results from the forces between two helium atoms. Give your answer in Joules, electron-volts (eV) and kelvin (K), where the answer in kelvin corresponds to an energy kT. (Take the average number of nearest neighbors to be z = 10 and note that the atomic number of helium is 4.) c. (1 point) Why does helium turn into a gas at such low temperatures?

a) proportion of latent heat involved in work against the interatomic attraction = 0.794

b)Depth of the well in Joules = 23 * 10^-24 J

ii) In eV, E = 0.000144 eV

III) in Kelvin, E = 1.67 K

C) Check the explanation section for C

Explanation:

a) Latent heat, Q = 21.8 kJ/kg

Vapor density, Vd = 19 kg/m^3

Liquid density, Ld = 125 kg/ m^3

Pressure, P = 1 atm = 1 * 10^5 Pa

Volume change from liquid to vapor = (1/Vd) - (1/ Ld)

Volume change = (1/19) - (1/125)

Volume change = 0.045 m^3

Work done in converting from liquid to vapor, W = P * (Volume change)

W = 1 *0.045 * 10^5

W = 4.5 kJ

Let the proportion of latent heat involved in work against the interatomic attraction be Pr

Pr = (Q - W)/Q

Pr = (21.8 - 4.5)/21.8

Pr = 0.794

b) To calculate the depth of the potential well :

I) In joules

n(L-W) = 0.5 z Na E

z = 10

Where E = depth of the well

4(21.8-4.5) = 0.5 * 10 * 6.02 * 10^23 * E

E = 23 * 10^-24 J

ii) In eV

E = ( 23 * 10^-24)/(1.6 * 10^-19)

E = 0.000144 eV

III) In Kelvin

E = ( 23 * 10^-24)/(1.38 * 10^-23)

E = 1.67 K

C) Helium turns to a gas at that low temperature because of the large workdone (4.5 kJ) against the interatomic attraction.

that would be b i just took the test : )

b) returns freshwater to the earth.

c) returns freshwater to the earth.c) occurs after condensation.

d) returns freshwater to the earth.c) occurs after condensation.d) roughly equal to the amount of evaporation.

happy to

pls mark as brainliest.