A 100g cube of ice at 0C is dropped into 1.0kg of water thatwas originally at 80C. What is the final temperature of thewater after the ice has melted? Q=\pm mL ? or ?Qk=0 ???and ifso, how?

Tammy Todd

Tammy Todd

Answered question

2020-10-18

A 100g cube of ice at 0C is dropped into 1.0kg of water thatwas originally at 80C. What is the final temperature of thewater after the ice has melted? 
Q=±mL? or ?Qk=0 ???and ifso, how?

Answer & Explanation

Elberte

Elberte

Skilled2020-10-19Added 95 answers

Here in this problem there are three stages.
One is the energy required to melt ice.
Second one to rise the temperature of melted ice from0 0 C to the final temperatureT f .
And third one is the energy lost by the water to from thetemperature 80 0 C to the finaltemperature(T f ). Now according to the law of conservation of energy the amountof heat taken is equal to the amoount of heat lost.
So miceLf+miceCwater(Tf00C)=mwaterCwater(800Tf)
Here c water = 4186J/kg. 0
C
L
f=3.33×105 J/kg And m ice = 100g = 0.1kg
mwater =1.0kg
Now substitute all the given values in the above mentionedformula and then solve for the value of the finaltemperature(Tf).

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