how to apply the formula Q=mc(1+αT) or Q=mL for the solid like dry ice undergoing sublimation?
We know that, heat lost = heat gained (in an ideal system)
Here the formula we use would be
the total heat supplied = heat required to raise the temperature of the ice + heat required to change its state from solid to gas
so,
total heat = heat required to raise its temperature to 0 deg. + latent heat required to change its steam from solid to liquid + heat required to raise its temperature from 0 to 100 deg. + latent heat required to convert it from liquid to vapor
thus,
Q = mc(dt) + ml + mC(dT) + mL
where
c and C are the specific heats (of ice and water respectively)
l and L are the latent heats
m is the mass of the substance
dt and dT are the changes in temperature.