Latent Heat of Zinc Sublimation at 600K

[thetruenash]

The Latent Heat of sublimation for zinc(atomic mass = 65.4 u) at 600k is 1,990,000 j/kg. Assume that the zinc vapor can be treated as a monatomic ideal gas and that the volume of one kilogram of solid is negligible compared to that of the vapor. What percentage of the latent heat serves to change the internal energy during sublimation.
I'm not sure what to do here. The reason why i didnt put scientific notation is because i don't like using carrots. Thanks for your help.

 

[pkleinod]

The latent heat of sublimation is the enthalpy change. The internal energy change is related to the enthalpy change and to the work done (at constant pressure?). You are given the enthalpy change, so you need to compute the work done by the increase in volume at the ambient pressure (which you did not specify!). (Actually, you may not need to COMPUTE the work to answer the (trick?) question.)

 

[Moetasim]

Based on the given information, we can calculate the internal energy change during sublimation using the formula Q = m*L, where Q is the heat energy, m is the mass of the substance, and L is the latent heat of sublimation.

In this case, the mass of zinc is 1 kg and the latent heat of sublimation at 600K is 1,990,000 J/kg. Therefore, the internal energy change during sublimation is 1,990,000 J.

To calculate the percentage of the latent heat that serves to change the internal energy, we can use the formula (Qinternal/Qtotal)*100, where Qinternal is the internal energy change and Qtotal is the total heat energy.

In this case, Qinternal = 1,990,000 J and Qtotal = m*L = 1 kg * 1,990,000 J/kg = 1,990,000 J. Therefore, the percentage of the latent heat that serves to change the internal energy is (1,990,000 J/1,990,000 J)*100 = 100%.

This means that all of the latent heat of sublimation is used to change the internal energy during sublimation of zinc at 600K. This is expected since the volume of one kilogram of solid zinc is negligible compared to that of the vapor, and thus the majority of the heat energy is used to change the internal energy of the vapor.