Question

Suppose that there are two very large reservoirs of water, one at a temperature of 95.0 °C, and one at a temperature of 11.0 ℃. These reservoirs are brought into thermal contact long enough for 36330 J of heat to flow from the hot water to the cold water. Assume that the reservoirs are large enough so that the temperatures do not change significantly What is the total change in entropy resulting from this heat exchange between the hot water and the cold water? Number J/K Calculate the amount of energy made unavailable for work by this increase in entropy. Number How much work could a Canot engine do if it took in the given amount of heat (36330 J) from the hot water reservoir, and exhausted heat to the cold water reservoir? Number

0 0
Add a comment Improve this question Transcribed image text
Answer #1

Solution :-

(A)
Change in entropy between the resrvoirs is

dS = Q*(TH-TC)/(TH*TC)

Q, amount of heat transfered = 36330 J

TH is the temaprature of hot rerservoir = 95 + 273 C = 368 K

TC is the temparature of cool reservoir = 11 + 273 = 284 K


dS = 36330*(368-284)/(368*284)
dS = 29.2j/K

(B)

Work unavailable, = 284 * 29.2J
Work unavailable, = 8292.8 J

(C)

Work done by Carnot Engine is given by -
W/Q = 1 - TC/TH
W = 36330* (1 - 284/368)
W = 8292.72 j

Add a comment
Know the answer?
Add Answer to:
Suppose that there are two very large reservoirs of water, one at a temperature of 95.0...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • Suppose that there are two very large reservoirs of water, one at a temperature of 95.0...

    Suppose that there are two very large reservoirs of water, one at a temperature of 95.0 °C and one at a temperature of 17.0 °C. These reservoirs are brought into thermal contact long enough for 42130 J of heat to flow from the hot water to the cold water. Assume that the reservoirs are large enough so that the temperatures do not change significantly. What is the total change in entropy resulting from this heat exchange between the hot water...

  • Suppose that there are two very large reservoirs of water, one at a temperature of 89.0...

    Suppose that there are two very large reservoirs of water, one at a temperature of 89.0 °C and one at a temperature of 13.0 °C. These reservoirs are brought into thermal contact long enough for 42530 J of heat to flow from the hot water to the cold water. Assume that the reservoirs are large enough so that the temperatures do not change significantly. What is the total change in entropy resulting from this heat exchange between the hot water...

  • Imagine you have a hot reservoir at a temperature of 89.0 °C, and cold reservoir at...

    Imagine you have a hot reservoir at a temperature of 89.0 °C, and cold reservoir at a temperature of 15.0 °C. Given their vast size, it is reasonable to assume the reservoirs\' temperatures will not change significantly if heat flows into or out of them. These reservoirs are then brought into thermal contact, during which 39210 J of heat flows from the hot reservoir to the cold reservoir. As a result of this heat exchange, what is the total change...

  • Consider a reversible heat engine that employs a hot reservoir at a temperature of 660 K...

    Consider a reversible heat engine that employs a hot reservoir at a temperature of 660 K and a cold reservoir at 230 K. (a) What is the entropy change of the hot reservoir during a period in which 4300 J is extracted from the hot reservoir? (b) What is the change in the entropy of the cold reservoir? (c) Find the change in the entropy of the engine itself during this time.

  • 4. A Carnot engine works between two heat reservoirs at temperatures Ty 300 K & Te...

    4. A Carnot engine works between two heat reservoirs at temperatures Ty 300 K & Te -77.0 a. What is its efficiency? b. If it absorbs c. How much heat does it release to the low- d. Wha 100 J of heat from the hot reservoir during each cycle, how much work does it do? t is the coefficient of performance of this engine when it works as a refrigerator between temperature reservoir during each cycle? these two reservoirs?

  • A heat engine operates with reservoirs at 650° C and 15° C, but it operates at...

    A heat engine operates with reservoirs at 650° C and 15° C, but it operates at 35% of its maximum possible efficiency. A. What is the maximum efficiency? B. What is the actual total efficiency? C. If 1500 J of work is done by the heat engine, how much energy is extracted from the hot reservoir? D. How much energy is exhausted?

  • A Carnot engine works between two heat reservoirs at temperatures Th = 360 K and Tc...

    A Carnot engine works between two heat reservoirs at temperatures Th = 360 K and Tc = 240 K. (a) What is its efficiency? % (b) If it absorbs 95 J from the hot reservoir during each cycle, how much work does it do? J (c) How much heat does it give off during each cycle? J (d) What is the COP of this engine when it works as a refrigerator between the same two reservoirs?

  • d Help? Read it 0-13 points 16.P.046 Consider a reversible heat engine that employs a hot...

    d Help? Read it 0-13 points 16.P.046 Consider a reversible heat engine that employs a hot reservoir at a temperature of 717 K and a cold reservoir at 253 K. (a) What is the entropy change of the hot reservoir during a period in which 4550 J are extracted from the hot reservoir? J/K (b) What is the change in the entropy of the cold reservoir? J/K (c) Find the change in the entropy of the engine itself during this...

  • A Carnot heat engine uses a hot reservoir consisting of a large amount of boiling water...

    A Carnot heat engine uses a hot reservoir consisting of a large amount of boiling water and a cold reservoir consisting of a large tub of ice and water. In 9.0 minutes of operation, the heat rejected by the engine melts 0.0520 kg of ice. During this time, how much work W is performed by the engine?

  • 2. For a heat engine shown below, the low temperature in the cycle increases from 275...

    2. For a heat engine shown below, the low temperature in the cycle increases from 275 to 285 K, while other temperatures (including the low temperature reservoir) and QH stay the same. What happens to the entropy change of the low-temperature reservoir? Explain for full credit hot reservoirTh500 K 1250. ー S,--2.50 JIK A. decreases QH1250. J B. increases TH 500 K C. does not change 0.43 Ws-538.J Tc 285K AStotal 0.09 J/K Qc -713. J ASc 2.59 J/K cold...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT