how can i find specific heat of saturated steam at constant pressure as a function of temperature? The temperature varies but the pressure remains constant.
It depends on what you mean. The specific heat of compressed liquid near but below the saturation temperature is well defined as is the specific heat of superheated vapor near but above the saturation temperature. The specific heat *at* the saturation temperature (either liquid or vapor) is undefined because h (or u) can change with dT=0. Consider this page from the 1984 steam tables. Similar figures appear in the others too.
I dont know what do you mean? But I think at saturated phase, both the pressure and temperature remains contant for steam. Because the heat addition is just used to change the phase not the temperature and it is called as latent heat.