In an insulated vessel, 239 g of ice at 0°C is added to 635 g of water at 15.0°C. (Assume the latent heat of fusion of the water is 3.33 x 10° J/kg and the specific heat is 4,186 J/kg · °C.) (a) What is the final temperature of the system? °C (b) How much ice remains when the system reaches equilibrium?
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- Two 20.0 g ice cubes at -13.0 °C are placed into 245 g of water at 25.0 °C. Assuming no energy is transferred to or from the surroundings, calculate the final temperature, T₁, of the water after all the ice melts. heat capacity of H,O(s) heat capacity of H₂O(1) enthalpy of fusion of H₂O 37.7 J/(mol-K) 75.3 J/(mol-K) 6.01 kJ/mol 7₁- 45.1 Incorrect 'CYou mix mI = 1.2 kg of ice at TI = -19°C with mW = 3.4 kg of water at TW = 86°C in an insulated container. The specific heats of ice and water are cI = 2.10×103 J/(kg⋅°C) and cW = 4.19×103 J/(kg⋅°C), respectively, and the latent heat of fusion for water is Lf = 3.34 × 105 J/kg. Enter an expression for the final equilibrium temperature of the mixture in terms of the defined quantities. Solve for Tf Please give all the detailed workYou mix mI = 1.2 kg of ice at TI = -19°C with mW = 3.4 kg of water at TW = 86°C in an insulated container. The specific heats of ice and water are cI = 2.10×103 J/(kg⋅°C) and cW = 4.19×103 J/(kg⋅°C), respectively, and the latent heat of fusion for water is Lf = 3.34 × 105 J/kg. Enter an expression for the final equilibrium temperature of the mixture in terms of the defined quantities. Hints : Heat problems involving phase changes generally need to be dealt with step by step, taking into account that when there is no temperature difference, there will be no heat transfer. In the present case, the first step might be to consider whether the ice warms to 0°C before or after the water cools to 0°C.-In an isolated system all the heat lost by any components of the system is gained by the system’s other components.-Use the relation among heat, mass, specific heat, and temperature change.-First, the ice reaches 0°C. Then it starts melting while the warmer water continues cooling. Now consider…
- Approximately how long should it take 9.5 kg of ice at 0 °C to melt when it is placed in a carefully sealed Styrofoam ice chest of dimensions 25 cm × 35 cm x 55 cm whose walls are 1.1 cm thick? Assume that the conductivity of Styrofoam is double that of air and that the outside temperature is 35 °C. Express your answer using two significant figures. VE ΑΣΦ ? STo help prevent frost damage, 4.77 kg of 0°C water is sprayed onto a fruit tree. The latent heat of fusion of water is 79.8 kcal/kg. (a) How much heat will be released by the water as it freezes?(b) How much would the temperature of the 260-kg tree decrease if it lost this amount of heat, given its specific heat is 0.800 kcal/(kg · °C), and no phase change occurs?How many joules are needed to change 50g of ice at 0°C to steam at 120°C?The latent heat of fusion of ice is 3.35 x 10°J/kg; latent heat of vaporization of water is 2.26 x 10°J/kg. The specific heat capacities of ice; water, and steam, respectively, are 2093 J/(kg. K), 4186 J/(kg. K) and 2010 J/(kg. K). out of Select one: A. 50.68 kJ B. 63.96 kJ O C. 227.6 kJ D. 53.96 kJ E. 20.5 kJ F. 800.2 kJ G. 153.7 kJ H. 22.76 kJ
- Find the total heat required (in kJ) to raise the temperature of a 0.5 kg of ice from −5.0°C to 132°C, including the heat needed for phase changes. (Assume the substance remains at a constant volume throughout each stage of the heating process.) Use the following constants: Specific heat capacities: 4.187 kJ/kgK, 2.108 kJ/kgK, 1.996 kJ/kgK for water, ice, and water vapor (steam) respectively. Latent heat of fusion=334 KJ/Kg, Latent heat of vaporization=2256 KJ/Kgassume that for any movement, 10.0% of energy used by human muscles goes into performing the movement, with the rest going into heat. If so, how much does a 72.0 kg person's body temperature go up when they use their muscles to speed up from 0 to 3.00 m/s? (The average specific heat capacity of a body is about 3.45 kJ/kg degress celsius)In an insulated vessel, 255 g of ice at 0°C is added to 585 g of water at 19.0°C. (Assume the latent heat of fusion of the water is 3.33 x 105 J/kg and the specific heat is 4,186 J/kg · °C.) (a) What is the final temperature of the system? °C (b) How much ice remains when the system reaches equilibrium? Need Help? Read It
- Suppose you place 0.265 kg of 24.5°C water in a 0.45 kg aluminum pan with a temperature of 147.5°C, and 0.0125 kg of the water evaporates immediately, leaving the remainder to come to a common temperature with the pan. What would be the final temperature, in degrees Celsius, of the pan and water? The heat of vaporization of water is Lv = 2256 kJ/kg. You may neglect the effects of the surroundings and the heat required to raise the temperature of the vaporized water. Te =It’s possible to boil water by adding hot rocks to it, a technique that has been used in many societies over time. If you heat a rock in the fire, you can easily get it to a temperature of 500°C. If you use granite or other similar stones, the specific heat is about 800 J/kg ⋅ K. If 5.0 kg of water at 10°C is in a leak-proof vessel, what minimum number of 1.0 kg stones must be added to bring the water to a boil?An ice tray is removed from a freezer, where the ice was at a temperature of -11°C, and left on a countertop. If the mass of the ice is 0.29 kg, how much heat must be added in k to turn all the ice into room temperature water (that is, liquid water at 20°C)? The specific heat of water is 4.2 kgC kJ the heat of fusion of water is 335 kg kJ and the specific heat of ice is 2.1 kg°C* 133.69 This is a change of phase question. There are 3 cases we have to consider: 1. The heat required to increase the temperature of the ice, Q1 2. The heat required to turn the ice into a liquid (a phase change), Q2 3. The heat required to raise the temperature of the now liquid water, Q3 For Q1, you will use the equation Q = mcATusing the c=2.1 kJ/(kg*C). Keep in mind that the hp