Physics
Physics
1st Edition
Walker
ISBN: 9780133256925
Textbook solutions

All Solutions

Page 406: Lesson Check

Exercise 33
Step 1
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This is the statement of the second law of thermodynamics.
Result
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Exercise 34
Step 1
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It says that this is impossible since it is impossible in a cyclic process to convert all of the absorbed heat to work.
Result
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Exercise 35
Step 1
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It does not because you have to put in work in order to freeze the water which increases entropy elsewhere at least for the amount it decreased when ice formed from liquid water.
Result
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Exercise 36
Step 1
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The increase in entropy increases the randomness of the system.
Result
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Exercise 37
Step 1
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We here always decide in favor of the system that has less order in it

a) Resulting popcorn

b) Omelet

c) a pile of bricks

d) ash.

Result
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Exercise 38
Step 1
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The efficiency is calculated using $eta=1-T_{c}/T_{h}$ which gives the required order:

B($4.5%$),D($17.7%$),C($25%$),A($50%$).

Result
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Exercise 39
Step 1
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The maximum efficiency is that of a Carnot’s engine working on these reservoirs and it is

$$
eta = 1-frac{T_c}{T_h} = 21%.
$$

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Exercise 40
Step 1
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This is the Carnot’s engine and its’ efficiency is calculated using

$$
eta = 1-frac{T_c}{T_h}
$$
which yields

$$
T_c = (1-eta)T_h = 311.6text{ K}.
$$

Result
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Exercise 41
Step 1
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We can calculate this using the following sequence

$$
eta = frac{W}{Q_{received}} = frac{W}{Q_{exhausted} + W} = 28.1%.
$$

Result
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Exercise 42
Step 1
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a) We know that for ideal heat engine
$$
frac{Q_c}{Q_h} = frac{T_c}{T_h}.
$$
Knowing that
$$
Q_h=W+Q_c
$$
we get

$$
frac{Q_c}{Q_c+W}=frac{T_c}{T_h}.
$$
Last two equations give us

$$
Q_c = Wfrac{T_c}{T_h-T_c} =1920text{ J}quad Q_h = 3120text{ J}
$$

so we need to add $Q_h = 3120text{ J}$

b) The heat discarded is simply
$$
Q_c=1920text{ J}.
$$

Result
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Exercise 43
Step 1
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The change in entropy $Delta S$ is defined as the heat divided by the temperature,

$$
begin{align*}
Delta S &= dfrac{text{heat}}{text{temperature}}\
\
Delta S &= dfrac{Q}{T}\
end{align*}
$$

First we need to find the heat:

$$
Q = m cdot L_f
$$

Where $L_f = -33.5 cdot 10^4 text{ }dfrac{text{J}}{text{kg}}$

And $m = 3.1 text{ kg}$

Therefore,

$$
begin{align*}
Q &= 3.1 cdot (-33.5 cdot 10^4)\
\
Q &= -103.85 cdot 10^4 text{ J}\
end{align*}
$$

Temperature is $T = 0^circtext{C}$ which can be written as $T = 273text{ K}$
The change in entropy will be:

$$
begin{align*}
Delta S &= dfrac{-103.85 cdot 10^4}{273}\
\
Delta S &= -3.8 cdot 10^3 text{ J}\
\
Delta S &= boxed{-3.8 text{ kJ}}\
end{align*}
$$

Result
2 of 2
$$
Delta S = -3.8 text{ kJ}
$$
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