Question

Suppose that there are two very large reservoirs of water, one at a temperature of 87.0...

Suppose that there are two very large reservoirs of water, one at a temperature of 87.0 ∘C and one at a temperature of 19.0 ∘C. These reservoirs are brought into thermal contact long enough for 40210 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, Δ?tot, resulting from this heat exchange between the hot water and the cold water?

Calculate the amount of energy made unavailable for work by this increase in entropy.

How much work could a Carnot engine do if it took in the given amount of heat (40210 J) from the hot water reservoir and exhausted heat to the cold water reservoir?

Science   Physics   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Given.

The temperature of Hot reservoir Th = 87∘C = 360 K

The temperature of Cold reservoir Tc = 19∘C = 292 K

Heat flow from the hot water to the cold water. Q = 40210 J

Therefore for the Carnot engine, the change in entropy can be calculated as

Now to determine the work a Carnot engine could do if it took in the given amount of heat (40210 J) from the hot water reservoir and exhausted heat to the cold water reservoir.

We have to first determine the efficiency of the engine. Ef

Now work done can be calculated as follows.

Hence The work done is 7574.656 J

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
2) A heat engine operates between two fixed temperature reservoirs, TH = 127 0C, TC =...
2) A heat engine operates between two fixed temperature reservoirs, TH = 127 0C, TC = 7 0C. In each cycle 5 J are extracted from the hot reservoir and 4 J are deposited into the cold reservoir. [ 0 0C = 273 K] (a) How much work is performed by the engine per cycle ? (4) (b) What is the efficiency of the engine ? (4) (c) What is the entropy change of the hot reservoir during one cycle...
A Carnot engine is operated between constant temperature reservoirs, TC and TH. The operator wishes to...
A Carnot engine is operated between constant temperature reservoirs, TC and TH. The operator wishes to increases the efficiency of the engine. If only one reservoir can be changed by a given amount for either reservoir, which is better: lowering the cold reservoir or raising the hot reservoir? (Hint: Think about how the efficiency changes when you change one of the two temperature reservoirs.)
We have a Carnot engine operating between a hot reservoir A and a cold reservoir B....
We have a Carnot engine operating between a hot reservoir A and a cold reservoir B. The work produced in the engine is used to power a flywheel. The hot reservoir is boiling water at p0 = 1 bar and Ta = 373K. The cold reservoir is a block of ice at p0 and Tb = 273K (latent heat = 3.3E5 J/kg). For the flywheel we know that Inertiamoment = 2kg m^2, mass = 6kg, c = 418J/kg K. Final...
The hot reservoir for a Carnot engine has a temperature of 933 K, while the cold...
The hot reservoir for a Carnot engine has a temperature of 933 K, while the cold reservoir has a temperature of 326 K. The heat input for this engine is 7160 J. The 326-K reservoir also serves as the hot reservoir for a second Carnot engine. This second engine uses the rejected heat of the first engine as input and extracts additional work from it. The rejected heat from the second engine goes into a reservoir that has a temperature...
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 5 minutes of operation of the engine, the heat rejected by the engine melts a mass of ice equal to 4.05×10−2 kg . Throughout this problem use Lf=3.34×105J/kg for the heat of fusion for water. A Carnot heat engine uses a hot reservoir consisting of a large amount of boiling...
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 5 minutes of operation of the engine, the heat rejected by the engine melts a mass of ice equal to 2.45×10?2 kg . Throughout this problem use L_f=3.34×105J/kg for the heat of fusion for water. A) During this time, how much work W is performed by the engine?
Consider two bodies with temperature independent heat capacities C1 and C2, and initial temperatures T1 >...
Consider two bodies with temperature independent heat capacities C1 and C2, and initial temperatures T1 > T2. (a) If the two bodies are brought into contact such that the only heat exchange is between them, what is the final temperature Tfinal , and what is the change in entropy. (b) Suppose instead that the difference in temperature between the two bodies is used to drive an ideal heat engine (Carnot cycle). In one operation of the cycle some amount of...
10)When a metal bar is temporarily connected between a hot reservoir at Th and a cold...
10)When a metal bar is temporarily connected between a hot reservoir at Th and a cold reservoir at Tc, the energy transferred by heat from the hot reservoir to the cold reservoir is Qh. In this irreversible process, find expressions for the change in entropy of the following. (Use any variable or symbol stated above as necessary.) (a) the hot reservoir ΔSh =      (b) the cold reservoir ΔSc =      (c) the Universe ΔSU =   12)A Carnot engine operates...
Consider a Carnot-type engine driven by two heat reservoirs at 450 K and 280 K, respectively....
Consider a Carnot-type engine driven by two heat reservoirs at 450 K and 280 K, respectively. Heat can flow from the hot reservoir to the engine at 80,000 BTU/hr (BTU=British Thermal Unit= 1054 J). What is the maximum efficiency of this engine? What is the maximum power, in watts, that can be generated by the engine?
Consider three engines that each use 1650 J of heat from a hot resevoir (temperature =...
Consider three engines that each use 1650 J of heat from a hot resevoir (temperature = 550 K). These three engines reject heat to a cold resevoir (temperature 330 K). Engine I rejects 1380 J of heat. Engine II rejects 990 J of heat. Engine III rejects 785 J of heat. One of the engines operates reversibly, and two operate irreversibly. However, of the two irreversible engines, one violates the second law of thermodynamics and could not exist. What is...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT