Answer:
Amount of necessary heat transfer, q =
Given:
Volume of liquid Nitrogen, V = 0.200 
Density of liquid Nitrogen, 
Temperature,
Temperature Rise, T' = 
Latent heat of Vaporization,
Specific heat capacity of gas, 
Solution:
Now, calculation of heat transfer required to evaporate liquid nitrogen and raise its temperature is given by:
(1)
Now, mass, m can be given by:

Now, from eqn (1):
q = 