A 50g ice cube at 0 degrees celcius is added to a glass containing 400g of water at 45 degrees celcius. What is the final temperature of the system? You may assume that no heat is lost to the surroundings.

Question

Chemistry

Taylor Merritt

27 September, 05:01

A 50g ice cube at 0 degrees celcius is added to a glass containing 400g of water at 45 degrees celcius. What is the final temperature of the system? You may assume that no heat is lost to the surroundings.

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Sky · Answer 1

In a system, heat that is gained and lost should be conserved. We calculate as follows:

Heat from phase change + sensible heat from the change in tempeture of the ice = sensible heat from the change in temperature of water

mH (fusion) + mCpΔT = mCpΔT

.05 (335) +.050 (4.184) (T - 0) =.4 (4.184) (45 - T)

T = 34.8 °C