How to determine the temperature of the transitioning of ice and steam?

If I have ice at -10C and Steam at 120C in a container, what would be the temperature of the water when the two transition from their current states?

Update:

If I have ice at -10C and Steam at 120C in a container, what would be the temperature of the water when the two transition from their current states? This question deals with endothermic and exothermic energy use. I need to know how to calculate the temperature of the final product of the transition of ice and steam to water.

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  • 2 years ago
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    you need quantities of each to solve this. If I assume M = mass of ice and m = mass of steam...

    specific heat of water is 4.186 kJ/kgC

    specific heat of ice is 2.06 kJ/kgC

    specific heat of steam is 2.1 kJ/kgK

    heat of fusion of ice is 334 kJ/kg

    heat of vaporization of water is 2256 kJ/kg

    at then end, the energy required to raise the ice to 0º and melt it and then raise it to the final temp has to equal:

    energy to cool the steam to 100º, then condense it, then cool it to the final temp.

    Let T be final temp.

    in order...

    E1 = 2.06 kJ/kgC x M x 10ºC

    E2 = 334 kJ/kg x M

    E3 = 4.186 kJ/kgC x M x (T–0º)C

    and

    E4 = 2.1 kJ/kgK x m x (120–100)C

    E5 = 2256 kJ/kg x m

    E6 = 4.186 kJ/kgC x m x (100–T)C

    now

    E1 + E2 + E3 = E4 + E5 + E6

    plug in numbers and crank your calculator, solve for T

    • Ryan2 years agoReport

      How do you find T?

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