Water has a very high specific heat capacity when compared to most other common

Question

Water has a very high specific heat capacity when compared to most other common materials. In fact, wood has a specific heat that is only about one-half that of water, while the specific heat of lead is about 1/30th that of water. Suppose that you have equal-mass samples of each material above, and that each sample is at the same initial temperature. You then carefully transfer the same amount of heat into each sample, and measure the resulting final temperature of each. Rank the final temperature of each sample from highest to lowest.

Explanation / Answer

heat transfered is dQ = m*S*dT

m is the mass

S is the specific heat

dT is the change in temparature =(Tf-Ti)

since dQ_water = dQ_lead = dQ_wood

mw*Sw*(Tf-Ti)_water = m_lead*S_lead*(Tf-Ti)_lead = m_wood*S_wood*(Tf-Ti)_wood

mw = m_lead = m_wood

S_lead =Sw/30
S_wood = Sw/2
and let Ti = O K

then Sw*Tf_water = (Sw/30)*Tf_lead = (Sw/2)*Tf_wood

Tf_water = Tf_lead/30 = TF_wood/2

Tf_lead = 30*Tf_water

Tf_wood = 2*Tf_water

So the rank is Tf_lead , Tf_wood,Tf_water

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