An object with a mass of #1 kg#, temperature of #155 ^oC#, and a specific heat of #17 (KJ)/(kg*K)# is dropped into a container with #15 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 · 2017-04-22T13:37:27

The water does not evaporate and the change in temperature is #=33ºC#

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=155-T#

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

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

#C_o=17kJkg^-1K^-1#

#1*17*(155-T)=15*4.186*T#

#155-T=(15*4.186)/(1*17)*T#

#155-T=3.69T#

#4.69T=155#

#T=155/4.69=33ºC#

As #T<100ºC#, the water does not evaporate.