What is the minimum amount of steam initially at(100 o C), that one needs to add

Question

What is the minimum amount of steam initially at(100oC), that one needs to add to a 10g ice (initally at-10oC) in order for ALL the ice to be melted? The relevant constants are: Lf = 3.33 * 102 J/g Lv = 22.6 * 102 J/g Cwater = 4.186 J/g oC Cice = 2.1 J/g oC Pls help me someone, and I promise to give the highest rates:D What is the minimum amount of steam initially at(100oC), that one needs to add to a 10g ice (initally at-10oC) in order for ALL the ice to be melted? The relevant constants are: Lf = 3.33 * 102 J/g Lv = 22.6 * 102 J/g Cwater = 4.186 J/g oC Cice = 2.1 J/g oC Pls help me someone, and I promise to give the highest rates:D

Explanation / Answer

The basic eqn is conservation of energy.                    Heat gained by the ice     =   Heat lost by the steam.             mice cice T + mice Lf       =      msteam Lv    (10) (2.1) (10 )   +    (10) (333)    =      m (2260 ) Solve for mass of steam to get    m = 1.57grams.

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