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Question

how to apply the formula Q=mc(1+αT) or Q=mL for the solid like dry ice undergoing sublimation?

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Solution

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.


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