Question

Temperature Change and Phase Change - Specific Heat and Latent Heat - From COLD ICE to Warm Water The quantitative relationship between heat transfer and temperature change is Q = mcAT, where Q is heat transfer, m is the mass of the substance, and AT is the change in temperature. The symbol c stands for specific heat which depends on the material and phase (for exmample, water and ice have different specific heat). The specific heat c is the amount of heat necessary to change the temperature of 1.00 kg of mass by 1.00°C. The specific heat c is a property of the substance; its Sl unit is J/(kg. K) or J/(kg.°C). Recall that the temperature change (AT) is the same in units of kelvin and degrees Celsius. The heat Q required to change the phase of a sample of mass m is given by Q = ml (melting/freezing), Q = ml, (vaporization/condensation), where L is the latent heat of fusion, and L, is latent heat of vaporization. Ther units are J/kg. A 0.120 kg ice block at -10.2°C absorbs heat and enventually becomes warm water at 11.6°C. The specific heat capacity for ice is 2000 J/(kg °C). The latent heat of fusion for water is 3.4X105J/kg. The specific heat capacity for water is 4186 J/(kg °C). The cold ICE absorbs heat in 3 steps: Step 1: COLD ICE warms up from -10.2 °C. to 0.0 °C. (Remember: cold ice DOESN't Melt before reaching 0.0 °C.) Apply Q = mcAT, to the cold ice. Calculate the heat absorbed by the ICE in this step. Keep 2 decimal places. Report all heat as POSITIVE.
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Answer 1

AT 0-12 200) [13.2) = 2496J 40800 J O-12 (3.410 5826.91J 0.12 (4186) (6) m AT 3 F49074.9J