Problem 9 You have 975 grams of liquid water in a 275 gram glass container. Initially, the water and the container both have a temperature of 22.5 °C. You would like to cool the water and the container to a final temperature of 10.5 °C. You have a large supply of ice, which is initially at 0 °C. How much ice would you need to add to the container in order to get the desired final temperature after the ice melts and thermal equilibrium is reached? Give your answer in grams. The specific heat of liquid water is 4,186 J kg-1 °C-!, the specific heat of glass is 845 J kg-1 °C-1, and the latent heat of fusion of water is 333,500 J kg-1. Assume that the glass + liquid water + ice is an isolated system (i.e., no heat flows in or out of the system during this process).
Energy transfer
The flow of energy from one region to another region is referred to as energy transfer. Since energy is quantitative; it must be transferred to a body or a material to work or to heat the system.
Molar Specific Heat
Heat capacity is the amount of heat energy absorbed or released by a chemical substance per the change in temperature of that substance. The change in heat is also called enthalpy. The SI unit of heat capacity is Joules per Kelvin, which is (J K-1)
Thermal Properties of Matter
Thermal energy is described as one of the form of heat energy which flows from one body of higher temperature to the other with the lower temperature when these two bodies are placed in contact to each other. Heat is described as the form of energy which is transferred between the two systems or in between the systems and their surrounding by the virtue of difference in temperature. Calorimetry is that branch of science which helps in measuring the changes which are taking place in the heat energy of a given body.
You have 975 grams of liquid water in a 275 gram glass container. Initially, the water and the container both have a temperature of 22.5 ̊C. You would like to cool the water and the container to a final temperature of 10.5 ̊C. You have a large supply of ice, which is initially at 0 ̊C. How much ice would you need to add to the container in order to get the desired final temperature after the ice melts and thermal equilibrium is reached? Give your answer in grams. The specific heat of liquid water is 4,186 J kg−1 ̊C−1, the specific heat of glass is 845 J kg−1 ̊C−1, and the latent heat of fusion of water is 333,500 J kg−1. Assume that the glass + liquid water + ice is an isolated system (i.e., no heat flows in or out of the system during this process).
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
