In: Chemistry
Four ice cubes at exactly 0 ?C with a total mass of 52.5g are combined with 145g of water at 75?C in an insulated container. (?H?fus=6.02 kJ/mol, cwater=4.18J/g??C)
If no heat is lost to the surroundings, what is the final temperature of the mixture?
T=?
heat released = heat absorbed
Let T2 be the final temperature
heat released by the water = m * Cp * (T2-T1)
= 145g * 4.18J/goC * (T2-75)
heat absorbed by the water = m * Cp * (T2-T1) + Hfus
* number of moles of ice
number of moles of ice = 145/18 = 8.06 moles
heat absorbed by the water = m * Cp * (T2-T1) + Hfus
* number of moles of ice
= 52.5g * 4.18J/goC * (T2-0) + 6.02 kJmol-1*8.06
= 219.45 (T2-0) + 48.52
-[219.45 (T2-0) + 48.52] = 145g * 4.18J/goC * (T2-75)
T2 = 55 oC
final temperature is 55 oC