Question

In: Physics

IP A 1.4-kg block of ice is initially at a temperature of -5.0 ∘C. Part A...

IP A 1.4-kg block of ice is initially at a temperature of -5.0 ∘C.

Part A

If 2.5×10⁵ J of heat are added to the ice, what is the final temperature of the system?

Part B

Find the amount of ice, if any, that remains.

Expert Solution

Mass m = 1.4 kg

Initila tmepearture t = -5 ^o C

Heat added Q = 2.5 x10 ⁵ J

Specific heat of ice C = 2060 J / kg ^o C

Amount of heat required to raise the temperature of ice from -5 ^o C to 0 ^o C is Q ' = mC(0-(-5))

Q ' = 1.4x2060x5

= 14420 J

Remaining heat Q " = Q - Q '

= 235580 J

Latent heat of fusion of ice L = 333.55x10 ³ J/ kg

Amount of ice melted due to Q " heat is M = Q " / L

M = (235580) /(333.55x10 3)

= 0.7062 kg

Final temperature of the system = 0 ^o C

(B). Amount ice remained = m - M

= 1.4 - 0.7062

= 0.6937 kg

genius_generous answered 2 years ago

A vessel initially contains 5.0 kg of liquid water and 2.0 kg of ice at 0...

A vessel initially contains 5.0 kg of liquid water and 2.0 kg of ice at 0 C. Energy is added until the ice has just melted. The temperature at the boundary where heat transfer occurs is taken to be the system temperature during the process. The enthalpy of melting ice is 333.5 kJ/kg. Consider the following processes used to melt the ice. a.) Heat is added to from the environment at 20 C. Determine the entropy flux and the total...

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-How much heat is required to convert 5.0 kg of ice from a temperature of -10...

a-How much heat is required to convert 5.0 kg of ice from a temperature of -10 C to water vapor at a temperature of 220F? b-You have 200 g of coffee at 55 C, Coffee has the same specific heat as water. How much ice at -5 C do you need to add in order to reduce the coffee’s temperature to 27C.

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.

A 40 kg block of ice begins at -40°C. The specific heat of ice is 2090...

A 40 kg block of ice begins at -40°C. The specific heat of ice is 2090 J/kg*C and the specific heat of water is 4186 J/kg*C. The latent heat of fusion of water is 3.3×10^5 j/kg and the latent heat of vaporization is 2.3×10^6 j/kg. A) How much energy is required to heat ice to the melting point, 0°C?B) How much energy is required to heat the ice from -50°C to the melting point and melt ice?C) How much energy...

a) A block ice of mass 1kg has a temperature of -5°C and gets placed in...

a) A block ice of mass 1kg has a temperature of -5°C and gets placed in Calorimeter A, filled with 10l of water at a temperature of 15°C. Determine the temperature Teq at equilibrium. b) An identical block of ice gets placed in calorimeter B, filled with 2l of water at a temperature of 15°C. Determine the amount of ice, Mice, left at equilibrium. Cwater = 4190J/kg*K, Cice = 2100J/kg*K, Lf= 3.34*10^5 J/kg

Calculate the final temperature of a mixture of 180.0 g of ice initially at -16.00 °C...

Calculate the final temperature of a mixture of 180.0 g of ice initially at -16.00 °C and 377.0 g of water initially at 92.50 °C

A nickel block that weighs 30 kg and with an initial temperature of 200 ⁰C is...

A nickel block that weighs 30 kg and with an initial temperature of 200 ⁰C is dropped into an insulated tank that contains 150 L of water at 25 ⁰C. a. Briefly state what the definition of entropy is. [2 marks] b. State two relevant assumptions for this question. [2 marks] c. Calculate the final equilibrium temperature for this system. Assume that the density and specific heat of water at 25 ⁰C are ρ= 997 kg/m3 and cp = 4.18...

If you pour 0.0350 kg of 25.0°C water onto a 1.18 kg block of ice (which...

If you pour 0.0350 kg of 25.0°C water onto a 1.18 kg block of ice (which is initially at −15.0°C), what is the final temperature (in °C)? You may assume that the water cools so rapidly that effects of the surroundings are negligible.

A copper block of mass 6.8 kg is originally at a temperature of 18°C and 1...

A copper block of mass 6.8 kg is originally at a temperature of 18°C and 1 atm. It is then heated to a temperature of 69°C without any change in pressure. The specific heat of copper is 387 J/(kg · °C), its density is 8.94 103 kg/m3, and the coefficient of linear expansion is 17 ✕ 10 −6 /°C. (a) Determine the work done by the copper block. J (b) How much heat energy is transferred during this process? J...