An object with a mass of #4 kg#, temperature of #244 ^oC#, and a specific heat of #33 (KJ)/(kg*K)# is dropped into a container with #16 L # of water at #0^oC #. Does the water evaporate? If not, by how much does the water's temperature change?

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Answer 1 · 2017-03-17T09:45:55

The water evaporates.

The heat is transferred from the hot object to the cold water.

Let #T=# final temperature of the object and the water

For the cold water, # Delta T_w=T-0=T#

For the object #DeltaT_o=244-T#

# m_o C_o (DeltaT_o) = m_w C_w (DeltaT_w)#

#C_w=4.186kJkg^-1K^-1#

#C_o=33kJkg^-1K^-1#

#4*33*(244-T)=16*4.186*T#

#244-T=(16*4.186)/(132)*T#

#244-T=0.51T#

#1.51T=244#

#T=244/1.51=161.6ºC#

As #T>100ºC#, the water evaporates.