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Latent Heat of Ice

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Submitted By julieshin
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Executive Summary The goal of this experiment was to measure the latent heat of ice. The value of the latent heat of ice was obtained by measuring the amount of boiling water needed to melt a given mass of ice. After repeating the procedure three times, the latent heat of ice was calculated for each test, and then averaged. The heat released by the boiling water is the product of specific heat, mass, and temperature change, while the heat required to melt the ice is the product of the mass of ice and the latent heat. (1) Einitial = Mwatercpwater (Tw) + Micecpice (Tice) (2) Efinal = Mwatercpwater (Tw) + Micecpice (Tice) + MiceLice, where M is defined as mass, cp is specific heat, and Lice is the latent heat of ice. Then, the First Law of Thermodynamics dictates that the change in Energy is equal to zero, and the final Energy is equal to the initial Energy. Thus, latent heat was calculated by substituting experimental values for mass and the literature values for specific heat. The averaged values of the latent heat of ice was computed to be 233.6 kJ/kg—a percent error of 30.1% from the literature value of 334 kJ/kg. These equations and relationships are based on several assumptions. The heat transfer from the boiling water is assumed to only melt the ice, and that no heat had been lost to the environment. It is also assumed that the temperature after melting the ice was 0 oC, and so the change in temperature is the full range between 0oC and 100oC. Lastly, there is no net work and mass flow. Also, the final volume of ice and water was not to exceed 250mL. Although these assumptions allow the latent heat to be solved more easily, they do not necessarily coincide with experimental factors. The heat does transfer from the boiling water to the beaker, and the final temperature after the melting of the ice was higher than 0 oC. In conclusion, the latent heat of ice could…...

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