6. (II) A real heat engine working between heat reservoirs at 400 K and 850 K produces 600 J of work per cycle for a heat input of 1600 J. (a) Compare the efficiency of this real engine to that of a Carnot engine. (b) Calculate the total entropy change of the universe for each cycle of the real engine. (c) Calculate the total entropy change of the universe for a Carnot engine operating between the same two temperatures. (d) Show that the difference in work

icon
Related questions
Question

P-7 Please I need help with this question needed very clearly and step by step explanation and NEEDED ONLY TYPED SOLUTIONS PLEASE NO HANDWRITTEN please, will be really appreciated for your help.

NEEDED ONLY TYPED SOLUTIONS

NEEDED ONLY PROBLEM 66

66. (II) A real heat engine working between heat reservoirs at
400 K and 850 K produces 600 J of work per cycle for a heat
input of 1600 J. (a) Compare the efficiency of this real
engine to that of a Carnot engine. (b) Calculate the total
entropy change of the universe for each cycle of the real
engine. (c) Calculate the total entropy change of the
universe for a Carnot engine operating between the same
two temperatures. (d) Show that the difference in work
done by these two engines per cycle is T AS, where T is
the temperature of the low-temperature reservoir (400 K)
and AS is the entropy increase per cycle of the real engine.
(See also Problem 49 and Section 20-8.)
Do not do the following boxed problem (49), but since 66 cites it, here it is:
49. (III) A general theorem states that the amount of energy
that becomes unavailable to do useful work in any process
is equal to T AS, where T is the lowest temperature avail-
able and AS is the total change in entropy during the
process. Show that this is valid in the specific cases of (a) a
falling rock that comes to rest when it hits the ground;
(b) the free adiabatic expansion of an ideal gas; and (c) the
conduction of heat, Q, from a high-temperature (TH) reser-
voir to a low-temperature (T) reservoir. [Hint: In part
(c) compare to a Carnot engine.]
Transcribed Image Text:66. (II) A real heat engine working between heat reservoirs at 400 K and 850 K produces 600 J of work per cycle for a heat input of 1600 J. (a) Compare the efficiency of this real engine to that of a Carnot engine. (b) Calculate the total entropy change of the universe for each cycle of the real engine. (c) Calculate the total entropy change of the universe for a Carnot engine operating between the same two temperatures. (d) Show that the difference in work done by these two engines per cycle is T AS, where T is the temperature of the low-temperature reservoir (400 K) and AS is the entropy increase per cycle of the real engine. (See also Problem 49 and Section 20-8.) Do not do the following boxed problem (49), but since 66 cites it, here it is: 49. (III) A general theorem states that the amount of energy that becomes unavailable to do useful work in any process is equal to T AS, where T is the lowest temperature avail- able and AS is the total change in entropy during the process. Show that this is valid in the specific cases of (a) a falling rock that comes to rest when it hits the ground; (b) the free adiabatic expansion of an ideal gas; and (c) the conduction of heat, Q, from a high-temperature (TH) reser- voir to a low-temperature (T) reservoir. [Hint: In part (c) compare to a Carnot engine.]
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Similar questions
  • SEE MORE QUESTIONS