2 litres of water have have reached the temperature of 103°C, without beginning to boil. However after throwing in a small piece of ice (with insignificant mass), the water began to boil. What is the mass of water that transformed into water vapor?

1 Answer
A08
Apr 29, 2018

Let is take mass of two liters of water #~~2\ kg#. Also let us assume that specific heat of water which is #=4.186\ kJkg^-1C^-1# is also valid for water at temperatures above #100^@C#

Water is heated to temperature without boiling #=103^@C#.
Extra heat given to raise temperature from #100^@# to #103^@C#

#Q=msDeltaT#
#Q=2xx4.186xx(103-100)#
#Q=25.116\ kJ#

Latent heat of vaporization of water #= 2260\ kJkg^-1#
Mass of water which will evaporate using extra heat#=25.116/2260#
#=0.011\ kg#

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