A0.0811 kg ice cube at 0 °c is dropped into a styrofoam cup holding 0.397 kg of water at 14.8 °c. calculate the final temperature of the system. assume the cup and the surroundings can be ignored.

The final temperature of the system is 16.4°C.

Explanation:

Given that,

Mass of ice cube = 0.0811 kg=81.1 g

Mass of water = 0.397 kg = 397 g

Initial temperature of ice cube = 0°C=273 K

Initial temperature of water = 14.8°C = 14.8+273=287.8 K

We need to calculate the final temperature

We know that,

Specific capacity of solid = 2.09 J/g°C

Using formula of energy

Put the value into the formula

Hence, The final temperature of the system is 16.4°C.  

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