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Heat of fusion The amount of energy needed to melt 1 kg of a substance is called the heat of fusion of that substance For example, the heat of fusion of ice is 334 105 J/kg If 1 kg of ice at its melting point, 273 K, absorbs 334 105 J, the ice becomes 1 kg of water at the same temperature, 273 K The added energy causes a change in state but not in temperature The horizontal distance in Figure 12-10 from point B to point C represents the heat of fusion Heat of vaporization At normal atmospheric pressure, water boils at 373 K The thermal energy needed to vaporize 1 kg of a liquid is called the heat of vaporization For water, the heat of vaporization is 226 106 J/kg The distance from point D to point E in Figure 12-10 represents the heat of vaporization Every material has a characteristic heat of vaporization Between points A and B, there is a definite slope to the line as the temperature is raised This slope represents the specific heat of the ice The slope between points C and D represents the specific heat of water, and the slope above point E represents the specific heat of steam Note that the slope for water is less than those of both ice and steam This is because water has a greater specific heat than does ice or steam The heat, Q, required to melt a solid of mass m is given by the following equation Heat Required to Melt a Solid Q mHf

1 Label two foam cups A and B 2 Measure and pour 75 mL of room-temperature water into each cup Wipe up any spilled liquid 3 Add an ice cube to cup A, and add ice water to cup B until the water levels are equal 4 Measure the temperature of the water in each cup at 1-min intervals until the ice has melted 5 Record the temperatures in a data table and plot a graph Analyze and Conclude 6 Do the samples reach the same final temperature Why

3:

The heat required to melt a solid is equal to the mass of the solid times the heat of fusion of the solid

Similarly, the heat, Q, required to vaporize a mass, m, of liquid is given by the following equation Heat Required to Vaporize a Liquid Q mHv

The heat required to vaporize a liquid is equal to the mass of the liquid times the heat of vaporization of the liquid

When a liquid freezes, an amount of heat, Q mHf , must be removed from the liquid to turn it into a solid The negative sign indicates that the heat is transferred from the sample to the external world In the same way, when a vapor condenses to a liquid, an amount of heat, Q mHv , must be removed from the vapor The values of some heats of fusion, Hf , and heats of vaporization, Hv, are shown in Table 12-2

.

Heat Suppose that you are camping in the mountains You need to melt 150 kg of snow at 00 C and heat it to 700 C to make hot cocoa How much heat will be needed

By Default, Measures Are Not Sorted Using Order Explicit Ascend Descending Sort The Sort Only Works for a Few Rows Breaking Hierarchies Order with desc on User Hierarchy

Sketch the relationship between heat and water in its solid and liquid states Sketch the transfer of heat as the temperature of the water increases Known:

Unknown:

Calculate the heat needed to melt ice Qmelt ice mHf (150 kg)(334 105 J/kg) 501 105 J 501 102 kJ Calculate the temperature change T Tf Ti 700 C 00 C 700 C