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The latent heat of vaporization (Lv) is similar to the latent heat of fusion (Lf), except...

The latent heat of vaporization (Lv) is similar to the latent heat of fusion (Lf), except that it relates to boiling rather than melting. For water Lv = 2.26 x 10^6 J/kg. .970 kg of steam at 100 degrees celsius (the boiling point of water) is put in contact with a 13.5 kg piece of metal. The initial temperature of metal piece is 70.0 degree celsius. When the piece of metal reaches 100 degrees celsius, .0420 kg of steam has condensed.

a. How much heat was transferred to the metal by the steam?

b. What is the specific heat capacity of this metal?

c. The specific heat capacity of steam (constant pressue) is 2.02 x 10^3 J/kg degrees celsius. If the steam had started out at 105 degrees celsius, all other things being the same as above, how many kilograms of steam would have condensed?
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