kingdomxiii said:Homework Statement
Ice at 0°C is added to a 1 kg of lemonade cooling it from 20°C to 0°C. How much ice melts? (The heat capacity of lemonade equals that of water.)
Homework Equations
Q = mcΔT
The Attempt at a Solution
Found the heat in of the lemonade to the ice... = 83.38 kJ and don't know where to go from there. c of water is 4.169.
kingdomxiii said:A phase change occurs, but the problem does not give the mass of the ice.
kingdomxiii said:gneill: Ok, so the formula that pertains to that phase is ΔQ = Lm. I know that L is the latent heat of fusion for water so it is 333 kJ/kg. Would the change in heat be the 3.38 kJ?
Chestermiller: I found the change in heat for the lemonade form 20-0 °C to be 83.38 kJ.
The amount of ice that can melt in water depends on the temperature of the water and the amount of ice being added. The general rule is that for every liter of water at 0 degrees Celsius, one kilogram of ice can melt. However, this can vary depending on the purity of the ice and the temperature of the water.
The main factors that affect how much ice melts in water are the temperature of the water, the amount of ice being added, and the purity of the ice. Other factors that can play a role include the salinity of the water and any impurities present in the water.
The temperature of the water plays a significant role in how much ice can melt. The colder the water, the more ice it can melt. This is because colder water has a higher capacity to absorb heat, which is necessary for melting ice. However, once the water reaches a certain temperature, it will not be able to melt any more ice.
The shape of the ice can affect how much melts in water, but it is not a significant factor. Ice cubes, for example, have a larger surface area compared to a large block of ice, so they may melt faster in water. However, the difference is minimal and does not greatly impact the amount of ice that can melt in water.
The time it takes for ice to melt in water can vary depending on the factors mentioned above. However, in general, it takes around 30 minutes for a liter of water to melt one kilogram of ice at 0 degrees Celsius. This time can decrease if the water is warmer or if there is a larger amount of ice being added.