Welcome to PF raymondmorrow,raymondmorrow said:Homework Statement
A 50-g of ice, initially at 0.0C, is dropped into 200 g of water in an 80-g
aluminum container, both initially at 30C. What is the final equilibrium
temperature? (Specific heat for aluminum is 900 J/Kg*C, the specific heat of
water is 4186 J/Kg*C, and Lf=3.33 X10^5).
Homework Equations
The Attempt at a Solution
I am trying to help my wife with this. I have no clue what to do. Can you help me find somewhere it will show me what I need to do?
Can you write this expression more explicitly? What are Q ice and Q water for example?raymondmorrow said:heat gained by ice-water= (Q ice + Q water)+ m water*C water* change in temperature
raymondmorrow said:Heat lost by mutual:
(0.08kg)(900 j/kg*C)(30C-T)
=72 J/C(30C-T)
Ice to melt:
Q=(M ice)(lf)
=(0.05)(3.33x10^5)
=16650J
0.05kg * 0.2kg = 0.25kg
heat gained by water from ice:
(16650) + (0.25)(4.19 x 10 ^ 3)(T-0C)
16650+1047.5(T--0C)
16650+1047.5T
72 J/C(30C-T)=16650+1047.5T
2160-72J/CT=16650+1047.5T
-72 J/CT=14490+1047.5T (after subtracting 2160 from both sides)
-1195T=14490 (After subtracting 1047.5T from both sides)
=1.29
The relationship between water, ice, and metal in terms of temperature is that they all have specific temperature ranges at which they exist in different states. Water can exist as a liquid, solid (ice), or gas (water vapor) depending on its temperature. Metal, on the other hand, does not change state but its temperature can affect its properties such as its strength and conductivity.
Temperature greatly affects the properties of water, ice, and metal. For water, temperature determines whether it is liquid, solid, or gas. It also affects its density, heat capacity, and ability to dissolve other substances. In the case of ice, temperature affects its stability and ability to exist in its solid form. For metal, temperature affects its strength, ductility, and electrical conductivity.
Temperature can be measured using various instruments such as thermometers, infrared cameras, and thermocouples. For water and ice, a thermometer is commonly used to measure their temperature. For metal, a thermocouple is often used as it can withstand high temperatures and provide accurate readings.
Yes, there are many factors that can influence the temperature of water, ice, and metal. These include the surrounding environment, such as air temperature and pressure, as well as the amount of heat energy applied or removed from the substances. Other factors like impurities, motion, and chemical reactions can also affect temperature.
Specific heat is the amount of heat energy required to raise the temperature of a substance by a certain amount. Water has a higher specific heat compared to ice and metal, meaning it requires more energy to change its temperature. This is why water is often used to regulate and maintain temperature in systems, such as in heating and cooling systems. Metal, on the other hand, has a lower specific heat, making it easier to heat up or cool down compared to water and ice.