Because the steam is H2O in the gaseous phase, it undergoes a heat-releasing process of condensation. This must be added into your calculations. q(heat)=nH where n is the number of moles of H2O and H is the enthalpy of condensation for water. You then add this into your earlier calculation of q=mcT. giving you q(total)= (m x specific heat x change in temp) + (moles x enthalpy of condensation)
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