Three 20.0 g ice cubes are dropped into 200 g of water in a thermally insulated container. If the water is initially at 20.0°C, and the ice comes directly from a freezer at -18.0°C, what is the final temperature in °C at thermal equilibrium? Heat of transformation for ice is L=79.5 cal/g. Specific heat for water is 1.00 cal/gK, and for ice 0.530 cal/gK.

Three 20.0 g ice cubes are dropped into 200 g of water in a thermally insulated container. If the water is initially at 20.0°C, and the ice comes directly from a freezer at -18.0°C, what is the final temperature in °C at thermal equilibrium? Heat of transformation for ice is L=79.5 cal/g. Specific heat for water is 1.00 cal/gK, and for ice 0.530 cal/gK.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter17: Energy In Thermal Processes: The First Law Of Thermodynamics

Section: Chapter Questions

Problem 9OQ

See similar textbooks

Similar questions

Consider the latent heat of fusion and the latent heat of vaporization for H2O, 3.33 105 J/kg and 2.256 106 J/kg, respectively. How much heat is needed to a. melt 2.00 kg of ice and b. vaporize 2.00 kg of water? Assume the temperatures of the ice and steam are at the melting point and vaporization point, respectively. (a). UsingEq21.9, Q = mLF = (2.00 kg) (3.33l05 J/kg) = 6.66105 J (b).UsingEq21.10. Q = mLV = (2.00kg) (2.256106 J/kg) = 14.51106 J
Two concrete spans that form a bridge of length L are placed end to end so that no room is allowed for expansion (Fig. P16.63a). If a temperature increase of T occurs, what is the height y to which the spans rise when they buckle (Fig. P16.63b)?
One of a dilute diatomic gas occupying a volume of 10.00 L expands against a constant pressure of 2.000 atm when it is slowly heated. If the temperature of the gas rises by 10.00 K and 400.0 J of heat are added in the process, what is its final volume?
A 405-g sample of lead with specific heat cPb = 128 J/(kg · °C) at 87.0°C and a 220-g sample of silver with specific heat cAg = 230.0 J/(kg · °C) at 38.0°C are added to 0.500 kg of water at 22.0°C where specific heat of water cW = 4190 J/(kg · °C) in an insulated container. Assuming the system is thermally isolated, what is its final equilibrium temperature?
A thirsty nurse cools a 2.40 L bottle of a soft drink (mostly water) by pouring it into a large aluminum mug of mass 0.249 kg and adding 0.122 kg of ice initially at -14.3 ∘C. If the soft drink and mug are initially at 21.0 ∘C, what is the final temperature of the system, assuming no heat losses? Express your answer in degrees Celsius.
Initially you have mwater=4.2kg of water at Twater=66 degrees celcius in a insulated container. You add ice at T ice= -18 degrees celcius to the container and the mix reaches a final, equillibrium temperature of Tf=27 degrees celcius. The specific heat of ice and water are c ice= 2.10×10^3 J/kg×°C) and c water= 4.19×10^3, respectivly, and the latent heat of fusion of water is Lf= 3.34×10^5 J/kg. A.) What is the expression for the mass of ice you added, in terms of the defined quantities? B.) What is the mass of ice, in Kg?
The value of specific heat for copper is 390 J/kgC for aluminum is 900 J/kgC and for water is 4186 J/kgC. What will be the equilibrium temperature when a 265g block of copper at 255 degrees Celsius is placed in a 155 g aluminum calorimeter cup containing 845 g of water at 14
Carbon steel balls (r = 7833 kg/m3, k = 54 W/m·K, cp = 0.465 kJ/kg·°C, and a = 1.474 * 1026 m2/s) 8 mm in diameter are annealed by heating them first to 900°C in a furnace and then allowing them to cool slowly to 100°C in ambient air at 35°C. If the average heat transfer coefficient is 75 W/m2·K, determine how long the annealing process will take. If 2500 balls are to be annealed per hour, determine the total rate of heat transfer from the balls to the ambient air.
A thirsty nurse cools a 2.00 L bottle of a soft drink (mostly water) by pouring it into a large aluminum mug of mass 0.256 kg and adding 0.121 kg of ice initially at -14.8 ∘C. If the soft drink and mug are initially at 20.1 ∘C, what is the final temperature of the system, assuming no heat losses?
A thirsty nurse cools a 2.30 LL bottle of a soft drink (mostly water) by pouring it into a large aluminum mug of mass 0.257 kgkg and adding 0.123 kgkg of ice initially at -14.0 ∘C∘C. If the soft drink and mug are initially at 20.9 ∘C∘C, what is the final temperature of the system, assuming no heat losses?
You have mW = 3.7 kg of water in an insulated container. You add mI = 0.75 kg of ice at TI = -21°C to the water and the mix reaches a final, equilibrium temperature of Tf = 12°C. 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. Calculate the initial temperature of the water, in degrees Celsius.
In a manufacturing facility, 5-cm-diameter brass balls (r = 8522 kg/m3 and cp = 0.385 kJ/kg · °C) initially at 120°C are quenched in a water bath at 50°C for a period of 2 min at a rate of 100 balls per minute. If the temperature of the balls after quenching is 74°C, determine the rate at which heat needs to be removed from the water in order to keep its temperature constant at 50°C.