Ice at 0°c is placed in a Styrofoam cupcontaining 0.32 kg of lemonade at 27°C . The specific1.heat capacity of the lemonade is virtually the same asthat of water, c = 4186 J/kg °C. After the ice andlemonade reached the equilibrium temperature, some%Dice still remains. The latent heat of fusion for water isL-3.35 x105 J/kg. Assume that the mass of the cupis so small that it absorbs a negligible amount ofheat, and ignore any heat lost to the surroundings.Determine the mass of ice that has melted.

Given: The temperature of ice is 0 C. The mass of lemonade is 0.32 kg. The initial temperature of…

1. Ice at 0°c is placed in a Styrofoam cup containing 0.32 kg of lemonade at 27°C. The specific heat capacity of the lemonade is virtually the same as that of water, c = 4186 J/kg °C. After the ice and lemonade reached the equilibrium temperature, some %3D ice still remains. The latent heat of fusion for water is Lf=3.35 x105 J/kg. Assume that the mass of the cup is so small that it absorbs a negligible amount of heat, and ignore any heat lost to the surroundings. Determine the mass of ice that has melted.

1. Ice at 0°c is placed in a Styrofoam cup containing 0.32 kg of lemonade at 27°C. The specific heat capacity of the lemonade is virtually the same as that of water, c = 4186 J/kg °C. After the ice and lemonade reached the equilibrium temperature, some %3D ice still remains. The latent heat of fusion for water is Lf=3.35 x105 J/kg. Assume that the mass of the cup is so small that it absorbs a negligible amount of heat, and ignore any heat lost to the surroundings. Determine the mass of ice that has melted.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: 1. A human hand is approximately 0.4 kg. Suppose an average rotisserie chicken has mass 1 kg and…

A: mass of hand = 0.4 kg mass of chicken = 1 kg specific heat of chicken = 2720 J/kg-K change in…

Q: You are moving into an apartment and take the elevator to the 6th floor. Suppose your weight is 690…

A: Given that, weight of person (w1 ) = 690N weight of belongings w2 = 1040 N height of floor h =…

Q: Five people, all about equal masses, are in a perfectly sealed room in which the air conditioner is…

A: Five people, all about equal masses, are in a perfectly sealed room in which the air conditioner is…

Q: A 0.521 g sample of steam at 106.6 °C is condensed into a container with 5.35 g of water at 17.0 °C.…

A: According to principle of calorimetry Heat given by hot body = heat taken by cold body

Q: The mass of an object is 0.201 kg. The object requires 15.0 J of heat to raise its temperature by…

Q: An automobile with mass 2000 kg is traveling at 20 m/sec. How much heat is developed in the brakes…

A: Given, mass of automobile m= 2000kg , speed v = 20m/s

Q: A high pressure gas cylinder contains 45.5 L of toxic gas at a pressure of 1.2X10^7 N/m^2 and a…

A: Since you have uploaded a question with multiple sub-parts, we will solve the first three sub-parts…

Q: 8. Consider a cubical building with sides of length 7 m. The walls are made of concrete with a…

A: Given : The sides of the cubical building is l=7 m. The thickness of a wall is w=0.25 m. The thermal…

Q: steam having a dryness fraction of 0.9, a volume of 2m^3 and a pressure of 2bar is compressed in a…

A: Solution:-Given thatx1=0.9V1=2 m3P1=2 bar=200 kPaPvn=CP2=10 bar=1000 kPaT2=200°C

Q: A slab of metal has a mass of 5.269 kilogram, an initial temperature of 37.9°C and a melting point…

Q: 1. Most automobiles have a coolant reservoir to catch radiator fluid that may overflow when the…

A: To determine if the fluid will overflow, we need to calculate the change in volume of both the fluid…

Q: The temperature of water in a swimming pool decreases by 5.0 K during the night. The mass of the…

A: Given, The temperature of water decreases by 5 k mass of water in the pool is 560,000 kg specific…

Q: 8. Concrete sidewalks are always laid in sections, with gaps between each section. For example, the…

Q: At 4:00 p.m., you place a pizza stone at 20°C inside an oven whose temperature is maintained at…

A: Recall that Newton's Law of Cooling is defined as follows: (source:…

Q: A vegetable soup, with specific heat capacity 4000 J/(kg. K), is being heated from 16 to 95 °C…

A: We know the formula of rate of heat transfer in the heat exchanger are Q = UA∆TlmWhere U =…

Q: A18-kgpiece of aluminum (which has a specific heat of900 J/kg·°C) is warmed so that its…

Q: Consider a 0.63 kg sample of metal at room temperature of 20 deg C. The addition of 642,000 J…

A: Given data: Mass (m) = 0.63 kg Initial temperature (Ti) = 20 °C Heat addition to increase the…

Q: 5. Block A has a heat capacity of 800J/K and starts 15°C; block B has a heat capacity of 300J/K and…

A: a) Let final temperature of system be T. Since heat in = heat out we have,…

Q: 1. How much heat energy is required to raise the temperature of 3 kg of aluminium by 10°C? 2. 3 kJ…

A: We can use the specific heat capacity (c) of each material to calculate the amount of heat energy…

Q: 10. Concrete sidewalks are always laid in sections, with gaps between each section. For example, the…

Q: A 0.515 g sample of steam at 105.0 °C is condensed into a container with 5.87 g of water at 14.6 °C.…

A: mass of steam m1 = 0.515 g = 0.515*10-3 Kgmass of water m2 = 5.87 g = 5.87*10-3 KgThe initial…

Q: A 2.7 kg lump of aluminum is heated to 92°C and then dropped into 12.0 kg of water at 5.2°C.…

Q: A circular pipe of OD 20 cm is enclosed centrally in a square section insulation of 36 cm side. The…

A: Given-Outer Diameter= 20cm or 0.2mSide of square section=36cm or 0.36mThermal Conductivity (K)…

Q: 5. A 200-g metal container insulated on the outsiden holds 100 9 of water in thermal equilibrium at…

A: As given, Mass of the metal container, mm=200 g=0.2 kg Mass of water, mw=100 g=0.1 kg Mass of ice,…

Q: 1. A rigid vessel contains 5kg of wet steam (water) at 0.4 MPa. After the addition of 9585 kJ of…

Q: A solution is made by mixing 247.0 mL of ethanol initially at 10.9 °C with 247.0 mL of water…

Concept explainers

Human Metabolism

Being described as the most complicated machine ever encountered by humans, the human body and the cell metabolism is nothing less than a wonder. Metabolism is the set of life-sustaining chemical reactions within organisms.

Question

Ice at 0°c is placed in a Styrofoam cup
containing 0.32 kg of lemonade at 27°C . The specific
1.
heat capacity of the lemonade is virtually the same as
that of water, c = 4186 J/kg °C. After the ice and
lemonade reached the equilibrium temperature, some
%D
ice still remains. The latent heat of fusion for water is
L-3.35 x105 J/kg. Assume that the mass of the cup
is so small that it absorbs a negligible amount of
heat, and ignore any heat lost to the surroundings.
Determine the mass of ice that has melted.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

At high noon, the Sun delivers 990 W to each square meter of a blacktop road. What is the equilibrium temperature of the hot asphalt, assuming its emissivity e = 1? (σ = 5.67 × 10−8 W/m2?K4) . a. 364°C b. 637°C c. 90.5°C d. 181°C e. 136°C
Problem 6: Suppose you pour 0.0125 kg of 20.0°C water onto a 1.1-kg block of ice, sitting in a large bowl, which is initially at -15.0°C. The latent heat of fusion for water is Lf = 334 kJ/kg. What is the final temperature of this system? You may assume that the water cools so rapidly that effects of the surroundings are negligible.
5. A 0.400-kg of ice is initially at temperature of -12.0 °C. How much heat is required to melt two-third the mass of the ice only? J
4. A well-insulated styrofoam bucket contains 150 g of ice at 0 °C. If 21 g of steam at 100 °C is injected into the bucket, what is the final equilibrium temperature of the system?(cwater=4186 J/kg.°C, Lf=3.35 × 10° J/kg, Ly=2.26 × 10° J/kg) °C ssf60ss ssf60 ss 60 ssf6u
13. Solve