Solution to Thermo Ice Melting Problem

Therefore, the correct equation should be:[0.325 * 4190 * (39-69.9)] / (2100 * -15 -334*10^3-4190*39) = 0.2155 kgIn summary, the problem is asking for the amount of ice at -15.0 C that needs to be added to 0.325 kg of liquid water at 69.9 C in order to reach a final temperature of 39.0 C. Using the equations Q=mcT and Q=mL, the equation [0.325 * 4190 * (39-69.9)] / (2100 * -15 -334*10^3-4190
  • #1
mysticjbyrd
18
0

Homework Statement


An insulated beaker with negligible mass contains liquid water with a mass of 0.325 \rm{kg} and a temperature of 69.9 C.

How much ice at a temperature of -15.0 C must be dropped into the water so that the final temperature of the system will be 39.0 C?
Take the specific heat of liquid water to be 4190 , the specific heat of ice to be 2100 , and the heat of fusion for water to be 334

Homework Equations


Q = mcT
Q = mL

The Attempt at a Solution


m = mass of ice

Melt Ice = 334 * m
Heat Ice = 2100 * (0--15) * m
Heat ice water = m*4190 * (39-0)

Cool Water = 0.325 * 4190 (39-69.9) = 42078.075

Solve for m
42078.075 = 334 * m + 2100 * (0--15) * m + m*4190 * (39-0)

m= 0.2155 kgFound another equation and used it and got the same answer... not sure where I am going wrong.

Mice = Mwater * Cwater (Tf - Twater)/(Cice * Tice -Lf - Cwater * Tf)

[0.325 * 4190 * (39-69.9)] / (2100 * -15 -334-4190*39) =0.2155kg
 
Last edited:
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  • #2
Anyone got an idea what's up? When I plugged in the answer it told me "Dont forget the energy needed to melt the ice. ?
 
  • #3
The heat of fusion if Ice is actually 334 KJ/kg or 334*10^3 J/kg
 

1. What is the Thermo Ice Melting Problem?

The Thermo Ice Melting Problem is a scientific puzzle that involves finding the most efficient and effective solution to melting ice using heat energy. This problem is often used as a real-world example in thermodynamics and heat transfer studies.

2. How is the Thermo Ice Melting Problem relevant in real life?

The Thermo Ice Melting Problem is relevant in various aspects of our daily lives, such as understanding the process of ice melting in refrigerators, the melting of ice on roads and sidewalks, and the melting of polar ice caps due to global warming. Finding a solution to this problem can help improve energy efficiency and reduce environmental impacts.

3. What are the key factors that affect the solution to the Thermo Ice Melting Problem?

The key factors that affect the solution to the Thermo Ice Melting Problem include the type and thickness of the ice, the temperature of the environment, the amount of heat energy applied, and the surface area of the ice. Other factors such as humidity and wind speed may also play a role.

4. What are some common methods for solving the Thermo Ice Melting Problem?

Some common methods for solving the Thermo Ice Melting Problem include using salt or other substances to lower the melting point of ice, using heat lamps or heated surfaces to transfer heat to the ice, and using mechanical methods such as scraping or crushing the ice. Each method has its own advantages and disadvantages, and the most appropriate solution will depend on the specific situation.

5. How can the Thermo Ice Melting Problem be applied to other scientific problems?

The principles and concepts used in solving the Thermo Ice Melting Problem can be applied to other similar scientific problems, such as the melting of other substances or the transfer of heat energy in different scenarios. This problem serves as a practical example for understanding thermodynamics and heat transfer, which are important concepts in many fields of science and engineering.

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