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A large electrical power station generates 1000 MW of electricity with an efficiency of 35.0$\%$ (a) Calculate the heat transfer to the power station, $Q_{\text { h }},$ in one day. (b) How much heat transfer $Q_{c}$ occurs to the environment in one day? (c) If the heat transfer in the cooling towers is from $35.0^{\circ} \mathrm{C}$ water into the local air mass, which increases in temperature from $18.0^{\circ} \mathrm{C}$ to $20.0^{\circ} \mathrm{C},$ what is the total increase in entropy due to this heat transfer? (d) How much energy becomes unavailable to do work because of this increase in entropy, assuming an $18.0^{\circ} \mathrm{C}$ lowest temperature? (Part of $Q_{\mathrm{c}}$ could be utilized to operate heat engines or for simply heating the surroundings, but it rarely is.)

a) $Q_{h}=2.47 \cdot 10^{14} \mathrm{J}$b) $Q_{c}=1.6 \cdot 10^{14} \mathrm{J}$c) $\Delta S=2.85 \cdot 10^{10} \mathrm{J} / \mathrm{K}$d) $E=8.29 \cdot 10^{12} \mathrm{J}$

Physics 101 Mechanics

Chapter 15

Thermodynamics

Thermal Properties of Matter

The First Law of Thermodynamics

The Second Law of Thermodynamics

Cornell University

University of Washington

Simon Fraser University

McMaster University

Lectures

03:15

In physics, the second law…

03:25

The First Law of Thermodyn…

02:22

A 35$\%$ efficient power p…

08:52

An electric generating sta…

07:30

A typical coal-fired power…

06:24

02:45

A nuclear power plant gene…

06:59

A 38$\%$ efficient power p…

07:58

A certain heat engine oper…

04:07

A heat engine receives hea…

08:21

An air conditioner operate…

05:21

A 33$\%$ efficient power p…

03:16

A Carnot engine has a powe…

04:18

A biology laboratory is ma…

02:25

A Carnot engine operating …

13:22

06:45

Suppose a power plant deli…

03:33

32. Practical steam engine…

04:05

06:14

08:25

20.52. A typical coal-fire…

18:46

A steam power plant operat…

we can write. Ah, the pull you off the air heated in a bar day Israel a t t. Four time we for William is equal to the Q l Divided by Tini Times birthday t divided by, uh, density. Done specific ead types. Lt. Engine temperature plugging the values for each drum. We have 1.709 times 10 to the bower. My four. Que el over tea. We find this value from the efficiency formula times Ah, number of seconds in the birthday, which is 8.64 times 10 to the power four seconds and day divided by a density which is a 1.2 times this place for a kid, 10 to the power three, uh, times the change in temperature Aries are seven. So deriding these numbers we get here 0 17 0.57 57 care kilometer cube in a birthday. So this amount off air off a William is heated in a birdie. Um, in but be we had us to find this the area that we can find the idea by dividing the William Ah, or the thickness off air. Take this where we found already a volume, which is 17.57 where the tick list is given in a problem which is Ah, zero point 15 kilometer. This gives us the audio for 1 20 1 20 kilometers square, killing me too. Square also You were this cube. This is square Here. End off the problem. Thank you for watching.

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