What Happens When Ice Meets Steam?

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When 1 kg of ice at 0 degrees Celsius is mixed with 1 kg of steam at 100 degrees Celsius, heat transfer occurs, leading to a phase change. The ice absorbs heat to melt into water, while the steam releases heat to condense into water. The specific latent heats and heat capacities are crucial for calculating the final temperature of the mixture. The resulting mixture will consist of water at a temperature that can be determined by balancing the heat lost and gained. Ultimately, the final state will be a mixture of water at a temperature between 0 and 100 degrees Celsius.
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Excuse me, I have a question about heat.

1kg of 0 degree celsius ice is mixed with 1kg of 100 degree celsius vapour, what is the final temperature? What is the state of the mixture?
[specific latent heat of fusion=334000J/kg
specific latent heat of vapourization=2260000J/kg
specific heat capacity of water=4200J/kg]
Use the information above if necessary, you can also use the information which is not provided above(eg. specific heat capacity of ice, specific heat capacity of vapour etc.)
 
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Do not double post!
 
Please consider the following equation:

mass of water * c of water * change of temperature of water = mass of water * c of water * change of temperature of water + mass of ice * specific latent heat of fusion
 

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