How Do You Calculate the Specific Latent Heat of Fusion of Nitrogen?

[henry ballantyne]

Homework Statement

The graph below shows the result of an investigation in which an initially solid specimen of nitrogen absorbs heat a constant rate. Nitrogen melts at 63 K and the specific heat capacity of solid nitrogen is 1.6 kJ kg^-1 K^-1.

Homework Equations

shc od solid nitrogen = 1.6 kJ kg^-1 K^-1.
a) Calculate the specific latent heat of fusion of nitrogen.
b) Calculate the specific heat capacity for liquid nitrogen

The Attempt at a Solution

I'm guessing that the temp vs time graph will give me the rate at which heat is being absorbed in the stage before melting by giving you the temperature rise per second.
Assuming heat is being absorbed at the same rate during the change from solid to liquid, I know, from the time on the graph, how much heat was needed to melt it.
I've worked that much out but don't where to go from there.

 

[Chestermiller]

You can get the heating rate from the 1.6 kJ/kg-K in conjunction with the 10 degree rise for the solid in 160 sec. (Assume 1 kg).