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(a) On a winter day, a certain house loses $5.00 \times 10^{8} \mathrm{J}$ of heat to the outside (about $500,000$ Btu). What is the total change in entropy due to this heat transfer alone, assuming an average indoor temperature of $21.0^{\circ} \mathrm{C}$ and an average outdoor temperature of $5.00^{\circ} \mathrm{C} ?$ (b) This large change in entropy implies a large amount of energy has become unavailable to do work. Where do we find more energy when such energy is lost to us?

$9.78 \times 10^{4} \mathrm{J} / \mathrm{K}$

Physics 101 Mechanics

Chapter 15

Thermodynamics

Thermal Properties of Matter

The First Law of Thermodynamics

The Second Law of Thermodynamics

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so not changing. Entropy is equal to change in entropy, off environment, just changing entropy off house. Let's find change in entropy of So let's do this all to be there. Change in entropy of environment is heat gain by environment at the temperature off environment, which is same for it lost Bye House, which is now negative cube divided by temperature of house so you can see the factor of Q is constant. So let's take it out and right. One divided by T environment minus one divided by tea house. Now let's substitute on the values. Q. Is five times 10 power. Eight T c is not t c T E. The environmental temperature is five degree sense use, so that is to 78 minus one, divided by the temperature off house, which is 21 degrees Celsius to 94. If you perform this calculation, you'll find the answer is 9.78 times 10 power for juiced for Kelly. See that all that matters everywhere is changing entropy, not absolute value. So that's why we couldn't do this, because this queue here is in reality is changing heat, so we don't know how much heat environment actually has. So all that matters is changing entropy and hard. Be asks us if entropy changed so much. It means that some amount of energy is not available to work. How do we find more energy? So house loses heat you. So to gain this heat back houses have heat from or huge generator, which is radiator or some appliances, which which keeps house more. So also, humans reduce heat constantly because off the moment that we do or because of the energy we spend to stay alive like breathing. So there are many ways to keep your house warm in winter by using many appliances. Thank you.

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