Ethyl alcohol has a specific heat capacity that is about half that of water. If

Question

Ethyl alcohol has a specific heat capacity that is about half that of water. If equal amounts of heat are added to 50 g of alcohol and 100 g of water, how do the changes in the temperatures of the alcohol and water?

The ?T of the water is about 4 times that of the alcohol."

"The ?T of the water is about twice that of the alcohol."

"The ?T for both the water and the alcohol is about the same."

"The ?T of the alcohol is about twice that of the water."

"The ?T of the alcohol is about 4 times that of the water."

Please explain why.

Explanation / Answer

let Ethyl alcohol be denoted as ea and water as wa

given cp|ea = 0.5*cp|wa

given 50 gm(say m) of alcohol and 100gm(say 2m) of water and same heat is added

we know Q = m cp dT

dT = Q/(m*cp)

dT|al = Q/(m*cp|al)

dT|wa = Q/(2m*2cp|al)

therefore, dT|al = 4 *dT|wa

"The dT of the alcohol is about 4 times that of the water."

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