Entropy Change in Heat Pump: House Heating and Exterior Effects

[3ephemeralwnd]

Homework Statement

A heat pump heats a house in winter by extracting heat from the cold outdoors and releasing it into the warm interior. for the transfer of a given amount of heat, (a) how do the entropies of the interior and exterior of the house change (increase or decrease)
b)which change is greater? Assume that the temperatures inside and outside the house do not change. explain your answers.

Homework Equations

delta S = detal H / T

The Attempt at a Solution

since change in entropy is proportional to chnange in enthalpy, if the house is being heated, there is a positive change in enthalpy, and therefore an increase in entropy

but for part b, the answer in the book says change in entropy is greater OUTside of the house. why is that? the heat lost from outside is the heat gained inside, so shouldn't this be the case for entropy as well?

 

[Mapes]

but for part b, the answer in the book says change in entropy is greater OUTside of the house. why is that? the heat lost from outside is the heat gained inside, so shouldn't this be the case for entropy as well?

Not if the temperatures are different.