Question

In: Physics

An open container holds ice of mass 0.535 kg at a temperature of -16.7 ?C ....

An open container holds ice of mass 0.535 kg at a temperature of -16.7 ?C . The mass of the container can be ignored. Heat is supplied to the container at the constant rate of 770 J/minute .

The specific heat of ice to is 2100 J/kg?K and the heat of fusion for ice is 334×103J/kg.

1. How much time tmelts passes before the ice starts to melt? in minutes

2. From the time when the heating begins, how much time trise does it take before the temperature begins to rise above 0?C? in minutes

Solutions

Expert Solution

Specific heat of ice = C = 2100 J/(kg.K)

Latent heat of fusion for ice = L = 334 x 10³ J/kg

Rate at which heat is supplied = H = 770 J/min

Mass of ice = m = 0.535 kg

Initial temperature of ice = T₁ = -16.7 ^oC

Melting point of ice = T₂ = 0 ^oC

Heat energy required so that the ice starts to melt = Q₁

For the ice to start melting all of the ice should reach 0 ^oC.

Q₁ = mC(T₂ - T₁)

Q₁ = (0.535)(2100)(0 - (-16.7))

Q₁ = 18762.45 J

Time period before the ice starts to melt = t₁

Q₁ = Ht₁

18762.45 = (770)t₁

t₁ = 24.37 min

Heat required before the temperature begins to rise above 0 ^oC = Q₂

For the temperature to rise above 0 ^oC the whole ice should reach 0 ^oC and the whole ice should melt into water.

Q₂ = mC(T₂ - T₁) + mL

Q₂ = (0.535)(2100)(0 - (-16.7)) + (0.535)(334x10³)

Q₂ = 197452.45 J

Time period for the temperature begins to rise above 0 ^oC = t₂

Q₂ = Ht₂

197452.45 = (770)t₂

t₂ = 256.4 min

a) Time taken for the ice to start melting = 24.37 min

b) Time taken for the temperature to rise above 0 ^oC = 256.4 min

genius_generous answered 2 years ago

Next > < Previous

Related Solutions

An open container holds ice of mass 0.570 kg at a temperature of -13.7 ∘C. The...

An open container holds ice of mass 0.570 kg at a temperature of -13.7 ∘C. The mass of the container can be ignored. Heat is supplied to the container at the constant rate of 730 J/minute. The specific heat of ice to is 2100 J/kg⋅K and the heat of fusion for ice is 334×10^3 J/kg. A) How much time [tmelts] passes before the ice starts to melt? B)From the time when the heating begins, how much time [trise]does it take...

An open container holds ice of mass 0.525 kg at a temperature of -18.2 ∘C ....

An open container holds ice of mass 0.525 kg at a temperature of -18.2 ∘C . The mass of the container can be ignored. Heat is supplied to the container at the constant rate of 830 J/minute . The specific heat of ice to is 2100 J/kg⋅K and the heat of fusion for ice is 334×103J/kg.ow much time tmelts passes before the ice starts to melt? From the time when the heating begins, how much time trise does it take...

An open container holds ice of mass 0.560 kg at a temperature of -19.6 ∘C ....

An open container holds ice of mass 0.560 kg at a temperature of -19.6 ∘C . The mass of the container can be ignored. Heat is supplied to the container at the constant rate of 760 J/minute . The specific heat of ice to is 2100 J/kg⋅K and the heat of fusion for ice is 334×103J/kg. a. How much time tmelts passes before the ice starts to melt? b. From the time when the heating begins, how much time trise...

An open container holds ice of mass 0.550 kg at a temperature of -11.4 ∘C ....

An open container holds ice of mass 0.550 kg at a temperature of -11.4 ∘C . The mass of the container can be ignored. Heat is supplied to the container at the constant rate of 890 J/minute . The specific heat of ice to is 2100 J/kg⋅K and the heat of fusion for ice is 334×103J/kg. Part A How much time tmelts passes before the ice starts to melt? View Available Hint(s) tmelts tmeltst_melts = minutes SubmitPrevious Answers Incorrect; Try...

An open container holds ice of mass 0.575kg at a temperature of -12.2?C . The mass...

An open container holds ice of mass 0.575kg at a temperature of -12.2?C . The mass of the container can be ignored. Heat is supplied to the container at the constant rate of 780J/minute . Part A How much time tmelts passes before the ice starts to melt? Part B. From the time when the heating begins, how much time does it take before the temperature begins to rise above 0 Degrees Celsius

An open container holds ice of mass 0.565kg at a temperature of -13.5?C . The mass...

An open container holds ice of mass 0.565kg at a temperature of -13.5?C . The mass of the container can be ignored. Heat is supplied to the container at the constant rate of 740J/minute . The specific heat of ice to is 2100 J/kg?K and the heat of fusion for ice is 334

A piece of ice having a mass of 2 kg and an initial temperature of −272...

A piece of ice having a mass of 2 kg and an initial temperature of −272 ℃ (very cold!) is dropped into a container of water at 25 °C. Remember that: The specific heat of water is ?? = 4186 ? ??℃ , The specific heat of ice is 2100 ? ??℃ The latent heat of fusion for water is ?? = 333000 ? ?? . a. Very soon after the piece of ice was dropped into the water, all...

A 1.5 kg of -5 °C ice is introduced into a container holding 400. L of...

A 1.5 kg of -5 °C ice is introduced into a container holding 400. L of 110 °C steam. What is the final temperature of the system in equilibrium? Assume no heat is exchanged with the container or the surroundings. Use 0.598 kg/m3 for the density of steam.

1.45 kg of ice at -5 ∘C is dropped into 31 kg of water at temperature 15.3 ∘C . Part...

1.45 kg of ice at -5 ∘C is dropped into 31 kg of water at temperature 15.3 ∘C . Part A - Final Temperature What is the final temperature of the system? (If I've set the problem up right, you should be given numbers such that all of the ice has melted.) Tf = ∘C Part B - Entropy of Warming Ice What is the change in entropy of the ice, as it warms up before melting? S = J/K Part C - Entropy...

A block of ice, mass 3.20 kg and initial temperature of -8 oC, is placed in...

A block of ice, mass 3.20 kg and initial temperature of -8 oC, is placed in an insulating container. 5.00 kg of water at temperature 13 oC, is added to the container. The water and ice exchange heat, but no other heat flows into or out of the container. In the process of the water and ice reaching equilibrium, how much ice melts? Give your answer in kg to three digits. Note: It is possible that the answer is zero.

Subjects