A 27 kg iron block initially at 375 C is quenched in an insulated tank that contains 130kg of water at 26 C. Assume the water that vaporizes during the process condenses back in the tank and the surroundings are at 12 C and 125 kPa. The specific heats of iron and water are 0.45 kJ/kgK and 4.18 kJ/kgK, respectively. a: Determine the final equilibrium temperature. b: Determine the entropy change of the combined system at the initial state. c: Determine the exergy of the combined system at the initial state. d: Determine the waste work potential during this process.

Answers

Answer 1

Solution :

a). Applying the energy balance,

[tex]$\Delta E_{sys}=E_{in}-E_{out}$[/tex]

[tex]$0=\Delta U$[/tex]

[tex]$0=(\Delta U)_{iron} + (\Delta U)_{water}$[/tex]

[tex]$0=[mc(T_f-T_i)_{iron}] + [mc(T_f-T_i)_{water}]$[/tex]

[tex]$0 = 27 \times 0.45 \times (T_f - 375) + 130 \times 4.18 \times (T_f-26)$[/tex]

[tex]$t_f=33.63^\circ C$[/tex]

b). The entropy change of iron.

[tex]$\Delta s_{iron} = mc \ln\left(\frac{T_f}{T_i} \right)$[/tex]

           [tex]$ = 27 \times 0.45\ \ln\left(\frac{33.63 + 273}{375 + 273} \right)$[/tex]

           = -9.09 kJ-K

Entropy change of water :

[tex]$\Delta s_{water} = mc \ \ln\left(\frac{T_f}{T_i} \right)$[/tex]

           [tex]$ = 130 \times 4.18\ \ln\left(\frac{33.63 + 273}{26 + 273} \right)$[/tex]

           = 10.76 kJ-K

So, the total entropy change during the process is :

[tex]$\Delta s_{tot} = \Delta s_{iron} + \Delta s_{water} $[/tex]

        = -9.09 + 10.76

         = 1.67 kJ-K

c). Exergy of the combined system at initial state,

[tex]$X=(U-U_{0}) - T_0(S-S_0)+P_0(V-V_0)$[/tex]

[tex]$X=mc (T-T_0) - T_0 \ mc \ \ln \left(\frac{T}{T_0} \right)+0$[/tex]

[tex]$X=mc\left((T-T_0)-T_0 \ ln \left(\frac{T}{T_0} \right)\right)$[/tex]

[tex]$X_{iron, i} = 27 \times 0.45\left(((375+273)-(12+273))-(12+273) \ln \frac{375+273}{12+273}\right)$[/tex]

[tex]$X_{iron, i} =63.94 \ kJ$[/tex]

[tex]$X_{water, i} = 130 \times 4.18\left(((26+273)-(12+273))-(12+273) \ln \frac{26+273}{12+273}\right)$[/tex]

[tex]$X_{water, i} =-13.22 \ kJ$[/tex]

Therefore, energy of the combined system at the initial state is

[tex]$X_{initial}=X_{iron,i} +X_{water, i}$[/tex]

            = 63.94 -13.22

            = 50.72 kJ

Similarly, Exergy of the combined system at initial state,

[tex]$X=(U_f-U_{0}) - T_0(S_f-S_0)+P_0(V_f-V_0)$[/tex]

[tex]$X=mc\left((T_f-T_0)-T_0 \ ln \left(\frac{T_f}{T_0} \right)\right)$[/tex]

[tex]$X_{iron, f} = 27 \times 0.45\left(((33.63+273)-(12+273))-(12+273) \ln \frac{33.63+273}{12+273}\right)$[/tex]

[tex]$X_{iron, f} = 216.39 \ kJ$[/tex]

[tex]$X_{water, f} = 130 \times 4.18\left(((33.63+273)-(12+273))-(12+273) \ln \frac{33.63+273}{12+273}\right)$[/tex]

[tex]$X_{water, f} =-9677.95\ kJ$[/tex]

Thus, energy or the combined system at the final state is :

[tex]$X_{final}=X_{iron,f} +X_{water, f$[/tex]

            = 216.39 - 9677.95

            = -9461.56 kJ

d). The wasted work

[tex]$X_{in} - X_{out}-X_{destroyed} = \Delta X_{sys}$[/tex]

[tex]$0-X_{destroyed} = $[/tex]

[tex]$X_{destroyed} = X_{initial} - X_{final}$[/tex]

                = 50.72 + 9461.56

                = 9512.22 kJ


Related Questions

You have three solutions of nickel complex ions, one is blue, one is violet, and one is green. Match the complex ion with the correct solution color.
A. [Ni(en)3]2+
B. [Ni(H2O)6]2+
C. [Ni(NH3)5]2+

Answers

Answer:

Explanation:

A. [Ni(en)₃]²⁺  --------- Violet

B. [Ni(H₂O)₆]⁺² -------Green

C. [Ni(NH₃)₅]⁺² ---------Blue .

PLEASE HELP! 80 POINTS
Create a VESPR drawing for
NH3
CH20
N3
SO2CI2
BrF5

Answers

Answer:

hope it helps you

Find the molarity of a solution in which 0.99 mol of NaCl are dissolved in 2.5 L of solution.

Answers

Answer:

0.369M

Explanation:

[tex]\boxed{Molarity = mole \div volume}[/tex]

☆ Volume has to be in litres

Molarity of solution

= 0.99 ÷2.5

= 0.369 M

why is heat or thermal energy considered a form of kinetic energy

Answers

because of the motion, the faster the particles move , the higher temperature goes
Thermal energy comes from a substance whose molecules and atoms are vibrating faster due to a rise in temperature. Kinetic energy is the energy of a moving object. As thermal energy comes from moving particles, it is a form of kinetic energy.

What mass of ocean water in grams contains 50.8 g of NaCl?

Answers

Answer:

1451.42 g

Explanation:

Let assume that the mass of ocean water comprises 3.5%

NaCl = 3.5%

[tex]3.5 = \dfrac{50.8}{mass \ of \ ocean \ water } \times 100[/tex]

[tex]mass \ of \ ocean \ water = \dfrac{50.8}{3.5 } \times 100[/tex]

mass of the ocean water = 1451.42 g

At 25.0° C, a 10.00 L vessel is filled with 5.25 moles of Gas A and 7.75 moles of Gas B. What is the total pressure in atm?

Answers

Answer:

23.12 atm

Explanation:

First, add together the moles of the two samples:

5.25 moles + 4.20 moles = 9.45 moles

273 + 25 = 298 K for the temperature

volume is 10.0 L

Since we have moles now, we have to rearrange our ideal law equation to solve for pressure:

[tex]P = \frac{nRT}{V}[/tex]

[tex]\frac{(9.45 moles) X (0.08206) X (298 K)}{10.0 L}[/tex]

9.45 X .08206 X 298 all divided by 10.0 = 23.09202 atm (or 23.12)

g h g jg jh gj h g jhg u iga ff f. f. f f f

Answers

Hhdudndhxskksjdidnenziakjqjeidemdnjcdlekcoemdikdnsksndksmsidndisodmxidmdisnshiajwmdjfbfndhljcgrxrykjyrxxfxhvfguhijvvytxtdjgjvnccgtstdyfivxttdyfuvuvjdjienejdjdnslskndudejddnndjdndhdudndjdndiskandhcunssksoudndid7dbdjfhrhuehe7d7e7773)menhenkeje;dje’3)$)s)#’2i2iq72ww2www22222jejejeue

What is the best way to avoid bacterial contaminantion?

Answers

Answer:

Wash hands and surfaces often. Harmful bacteria can spread throughout the kitchen and get onto cutting boards, utensils, and counter tops. To prevent this: Wash hands with soap and hot water before and after handling food, and after using the bathroom, changing diapers; or handling pets.

Wash hands with soap and hot water before and after handling food, and after using the bathroom, changing diapers; or handling pets.

why is carbon IV oxide and water removed before liquefication of air?​

Answers

Answer:

Because when they unfreeze and are cooled they would block pipes of the air liquefaction plant and make the air colder, hope this helps!!

Pls help with question a and b.

Answers

a) 1 - Trigonal planar 2 - Trigonal planar

b) 1- Linear  2 - Tetrahedral  3 - Tetrahedral

c) 1 - Trigonal planar 2 - Tetrahedral

What are the shapes?

We have to know that the shapes at the various carbon atoms and other atoms would depend on the number of the electron pairs and the hybridization of the atom.

We must have to note that the shape of the atom can be found on the basis of the valence shell electron pair repulsion theory which deals with the arrangement of that electrons around the outermost shell of the central atom.

Learn more about shapes of molecules:https://brainly.com/question/20366815

#SPJ1

What is the molarity of a solution containing 2 moles of sodium hydroxide (NaOH) dissolved in 4.0 L of solution?

Answers

Answer:

0.5M

Explanation:

Molarity = Mols/ Liters

so 2/4

0.5 M

Students performed an investigation on how aluminum cans taken to a recyle center were able to be reused. They found out an aluminum can undergoes which type of change?

a physical change because the can is heated
a chemical change because new metal is formed
a physical change because the material remains the same
a chemical change because an old can is changed into a new can

Answers

Answer:

The correct answer is - a physical change because the material remains the same.

Explanation:

A chemical change is the change that results in the formation of the new element or the substance whereas the physical change remains the same material or substance even after the change.

The physical change can be a change in density, size, shape, or volume, and other properties. In the recycling of the aluminum can the material remain the same only shape or size of the aluminum change order to reuse.

Answer:

its D i promise

Explanation:

A chemist morning commute is 40.2 kilometers. Given an average speed pf 60.5 mph, how many minutes will it take him to arrive at work?

Answers

A chemist morning commute is 40.2 kilometers. Given an average speed pf 60.5 mph, 0.66 minutes will it take him to arrive at work.

What is average speed ?

The overall distance the object covers in a given amount of time is its average speed. A scalar value represents the average speed. It has no direction and is indicated by the magnitude.

If you know how far something has travelled and how long it took to get there, you can calculate its average speed. Speed is calculated as follows: speed = distance * time.

Distance = speed × time

40.2 = 60.5 × time

time = 40.2 / 60.5

= 0.66 minutes

Thus, A chemist morning commute is 40.2 kilometers. Given an average speed pf 60.5 mph, 0.66 minutes will it take him to arrive at work.

To learn more about an average speed, follow the link;

https://brainly.com/question/12322912

#SPJ1

In "The Philosophy of the Manufacturers" by Andrew Ure, the author compares a factory worker to a handmade
worker. The author leads the reader to the idea that the factory worker is better off. Choose evidence (a quote
from the text) to support this idea.

a. Certainly no muscular fatigue to sustain, while it procures for him good, unfailing wages, besides a
healthy workshop gratis.
b. The lot of mankind, have been too little dwelt upon; while, on the other har, it has been accused of
lending itself to the rich capitalists as an instrument for harassing the poor.
c. The principle of the factory system then is, to substitute mechanical science for hand skill, and the
partition of a process into its essential constituents.

Answers

"Certainly no muscular fatigue to sustain, while it procures for him good, unfailing wages, besides a healthy workshop gratis."

What idea does the quote supports?The concept that factory workers have it better than handcrafted workers is supported by this textual quotation since it implies that factory work is less physically taxing and offers better pay and working conditions.The author is suggesting that factory worker is in better position than hand worker.This is beneficial for the worker, as it means they can work for longer periods of time without experiencing the same level of exhaustion.Finally, the quote states that a factory provides a "healthy workshop gratis" which means that the factory provides a healthy and clean working environment for the worker without any additional costs. This is beneficial for the worker, as it means they can work in a safe and healthy environment, which is not always the case for hand workers.

To know more about healthy workshop conditions quote, check out :

brainly.com/question/10588742

#SPJ1

What contributes to water's properties?

Polar molecule

Shape of the molecule

All of the other options are correct

Oxygen is more electronegative than hydrogen


Answers

I think its B but I’m not totally sure

Matthew added a sample of sodium chloride to water and
found the poH to be 2,55. What is the pH of the salt solution?
pH

Answers

Answer:

11.45

Explanation:

The ph is just 14-pOH so

14-2.55=ph=11.45

A gas occupies 12.5 ft at - 173 °C. At what Celsius temperature will its volume be 16.0
it? Assume that pressure remains constant

Answers

Answer:

T₂ = 128.19 K

Explanation:

Given that,

The initial volume, V₁ = 12.5 ft³

Initial temperature, T₁ = -173 °C = 100.15 K

Final volume, V₂ = 16 ft³

We need to find the new temperature. The relation between temperature and volume is given by :

[tex]V\propto T\\\\\dfrac{V_1}{V_2}=\dfrac{T_1}{T_2}[/tex]

Put all the values,

[tex]T_2=\dfrac{T_1V_2}{V_1}\\\\T_2=\dfrac{100.15\times 16}{12.5}\\\\T_2=128.19\ K[/tex]

So, the new temperature is 128.19 K.

CHEMISTRY - DOES ANYONE KNOW HOW TO DO THIS QUESTION???

Answers

Cathode: 2 Ag+ (aq) + 2 e- → 2 Ag (s). Anode: 2 H+ (aq) → H2 (g) + 2 e-.

What is cathode ?

A cathode is an electrode in an electrical circuit from which electrons flow out. It is usually made of metal and is negatively charged. Cathodes are commonly used in electronic devices such as batteries, lamps, and vacuum tubes. In a battery,

the cathode is the terminal which provides a negative charge and is usually connected to the negative terminal of the battery. In a vacuum tube, the cathode is the source of electrons which flow through the tube to the anode, which is the positive terminal.

To learn about more cathode .

https://brainly.com/question/4052514

#SPJ1

Hello!
please help me!
The nerve gas phosgene decomposes according to COC12(g) - CO(g) + Cl2(g), K = 0.32 at 1000 K. If
the initial concentration of phosgene is 0.015 M. what are the equilibrium concentrations of all gases?

Answers

Answer:

[tex][CO]=[Cl_2]=0.01436M[/tex]

[tex][COCl_2]=0.00064M[/tex]

Explanation:

Hello there!

In this case, according to the given chemical reaction at equilibrium, we can set up the equilibrium expression as follows:

[tex]K=\frac{[CO][Cl_2]}{[COCl_2]}[/tex]

Which can be written in terms of x, according to the ICE table:

[tex]0.32=\frac{x^2}{0.015M-x}[/tex]

Thus, we solve for x to obtain that it has a value of 0.01436 M and therefore, the concentrations at equilibrium turn out to be:

[tex][CO]=[Cl_2]=0.01436M[/tex]

[tex][COCl_2]=0.015M-0.01436M=0.00064M[/tex]

Regards!

If the temperature of 85.0 g of copper changes from 28.0°C to 99.0°C, how much
heat was absorbed? The specific heat capacity of copper is 0.385 J/K:g. Write your
answer to 3 sig figs.

Answers

Answer:

2320 J

Explanation:

We'll begin by calculating the change in temperature of the copper. This can be obtained as follow:

Initial temperature (T₁) = 28.0 °C

Final temperature (T₂) = 99.0 °C

Change in temperature (ΔT) =?

ΔT = T₂ – T₁

ΔT = 99 – 28

ΔT = 71 °C

Finally, we shall determine the heat absorbed by the copper. This can be obtained as follow:

Mass of copper (M) = 85 g

Change in temperature (ΔT) = 71 °C

Specific heat capacity (C) = 0.385 J/K.g

Heat (Q) absorbed =?

Q = MCΔT

Q = 85 × 0.385 × 71

Q = 2320 J

Thus, the heat absorbed is 2320 J

What is the molarity of a solution composed
of 4.27 g of potassium iodide (KI) dissolved in
enough water to make 0.304 L of solution?
Answer in units of M.

Answers

Answer:

0.0845 M

Explanation:

First we convert 4.27 grams of potassium iodide into moles, using its molar mass:

Molar Mass of KI = 166 g/mol4.27 g ÷ 166 g/mol = 0.0257 mol

Now we calculate the molarity of the solution, using the number of moles and the given volume:

Molarity = moles / litersMolarity = 0.0257 mol / 0.304 L = 0.0845 M

20. A compound's empirical formula is C,H,O. If the molecular mass of the compound is
162.2g, what is the molecular formula?
NO LINKS PLEASE THIRD TIME IM POSTING THIS ITS DUE IN 8min

Answers

Answer:

Just use a text book.. So that you get the concept

Which of the living things in the pond system uses the energy from sunlight
to make its own food?



A:water lily

B:insect

C:frog

D:small fish

Answers

A. water lily

It is a plant. Plants are autotrophs. They make their own food.

Answer:

i am not sure with the answer.

but i think it will be water lily Or insects

The ionization energies of Calcium are (in KJ/mol): 1st: 589.8 2nd: 1145.4 3rd: 4912.4
Explain why there is such a large jump from 2nd to 3rd ionization energy.
pleaseeee i need help, my brain is just not getting it

Answers

Answer:

See whole explanation to understand

Explanation:

the reason why there is such a large jump from 2nd to 3rd ionization energy for calcium is because to remove the third electron, a larger amount of energy is required, since the shell is closer to the nucleus, and higher attraction exists between them. This is why the second ionization energy is 1125.4 and then the third IE is 4912.4 which is a very big difference. It's all about the elections and energy!!

Atoms of different element can not have same atomic number because only same type of atoms combine to form element. Atoms belonging to different element can have different atomic number. Therefore, higher attraction between shell and nucleus, there is such a large jump from 2nd to 3rd ionization energy.

What is element?

Element generally consist of atoms or we can atoms combine to form element. Atoms of an element is always same, means all the properties of all atoms of one type of element is same. Two or more than two atoms with different physical or chemical properties can not combine together to form an element.

The reason why there is such a large jump from 2nd to 3rd ionization energy for calcium is because to remove the third electron, a larger amount of energy is needed, since the shell is closer to the nucleus, and higher attraction exists between them.

Therefore, higher attraction between shell and nucleus, there is such a large jump from 2nd to 3rd ionization energy.

To know more about element, here:

https://brainly.com/question/8460633

#SPJ2

Q)A certain mass of gas occupies a volume 2.5 L at 90atm. What pressure would the gas exert if it were placed in a 10 L container at the same temperatur?​

Answers

Answer:

23 atm

Explanation:

Step 1: Given data

Initial volume (V₁): 2.5 LInitial pressure (P₁): 90 atmFinal volume (V₂): 10 LFinal pressure (P₂): ?

Step 2: Calculate the final pressure of the gas

If we assume constant temperature and ideal behavior, we can calculate the final pressure of the gas using Boyle's law.

P₁ × V₁ = P₂ × V₂

P₂ = P₁ × V₁ / V₂

P₂ = 90 atm × 2.5 L / 10 L = 23 atm

As expected, since the volume increased, the pressure decreased.

If hydrogen diffuses at the rate of 10 cm³ per second from a given apparatus under given conditions of temperature and pressure, calculate under same conditions: a) the volume of oxygen (O₂) which diffuses in 20 seconds ​

Answers

Answer:

Volume of O₂ = 200cm³

Explanation:

Rate of diffusion of gas is directly and inversely proportional to the volume and time taken for the gas to diffuse completely.

Volume

R = -----------

time

let R₁ represent the rate at which the given volume of hydrogen gases diffuses and R₂ represent the rate at which the the volume of the oxygen gas diffused.

V₁, V₂, T₁ and T₂ follows the same process

If the two gases diffuses at the same rate, then;-

R₁ = R₂

V₁ V₂

---------- = ------------

T₁ T₂

V₂

10 = ----------------

20

V₂ = 20•10

V₂ = 200cm³

Therefore, the volume of oxygen that could diffuse in 20 seconds is 200cm³

__PbSO4 → __ PbSO3 +__O2

Balance the equation and indicate the type of reaction

Answers

Answer :2PbSO4 → 2PbSO3 + O2

please no links and round two decimal places

Answers

Answer:

https://vm.tiktok.com/ZMet3FuC2/

How many grams of KCl, are soluble in 100 g of water at 60 ºC?

a)15g
b)35g
c)45g
d)90g

Answers

45 g

the solubility of KCl in water at 60 degree c is 45.5g per 100g of water

a gas occupies a volume of 95 mL when the pressure is 400 mmHg .what volume does the gas occupy at 1200 mmhg if the temperature

Answers

Answer:31.7ml

Explanation:

Other Questions
ive tried everything and cant get the answer to be called a hospital, a facility must have at least ____ beds. The theory stating that knowledge acquired through observation is influenced by behavior, personal factors, and environment is the __________. A. theory of classical conditioning B. social cognitive theory C. cognitive theory of operant learning D. latent learning theory Please select the best answer from the choices provided A B C D help i have to turn this in today ! Rosa is 402 meters from a tall skyscraper in Chicago. Your line of sight to the top of the skyscraper is a 20 elevation angle to the ground. How tall is the skyscraper to the nearest decimal? In the figure, d || m. What is the value of x?I WILL MARK BRAINLIEST!! | | (2x - 20)| | 86 | - | Corn plants and milkweed plants grow in the same area. Over several years, the milkweed plants have taken over the field and the corn plants no longer have space to grow. Order the following number from greatet to leat. When entering fraction pleae ue "/". For example 1/2 or 3 2/3-0. 44, -3/8, -0. 5, -2/5 In a firm that uses special journals, an allowance given for damaged merchandise is recorded in the A. cash payments journal.B. cash receipts journal. 4. Abuelos, tenemos cebollas, zanahorias y tomates.Crtalos.Cortanlos.Cortenlos.Cortelos. Solve the following quadratic equation for all values of xx in simplest form.4(x^2-5)-1=4(x 2 5)1=\,\,33 Read the passage from chapter 17 of The Prince.Among the wonderful deeds of Hannibal this one is enumerated: that having led an enormous army, composed of many various races of men, to fight in foreign lands, no dissensions arose either among them or against the prince, whether in his bad or in his good fortune. This arose from nothing else than his inhuman cruelty, which, with his boundless valour, made him revered and terrible in the sight of his soldiers, but without that cruelty, his other virtues were not sufficient to produce this effect.How does the authors diction affect the tone in this passage?Words like inhuman, cruelty, and terrible support a tone of fear.Words like wonderful, boundless, valour, revered, and virtues support a tone of admiration.Words like sufficient, enumerated, virtues, and dissensions support a critical tone.Words like dissensions, bad, inhuman, cruelty, an Select ALL composite numbers with their correct prime factors(I need help) pls i need to know what the answer is!!! A teacher is helping a withdrawn child to increase his interaction with other students. The teacher has the other children in the classroom smile and compliment the child when he talks to them. The teacher also instructs the other children not to laugh when the withdrawn child has problems speaking. Which strategy for promoting generalization is the teacher using?a. Modifying contingencies of reinforcement and punishment in the natural environment. B. Training skills that contact natural contingencies of reinforcement. C. Incorporating a variety of relevant stimulus situations in training. D. Teaching a range of functionally equivalent responses The length of ome material i 8. 3m correct to 1 decimal place. Write the error interval for the length ,x, of the material Katie says that if a number is a multiple of 8, it is also a multiple of 4. Is Katie correct? Explain. Katie is correct. Any number that has 4 as a factor will also have 8 as a factor; therefore, any number that has 8 as a factor will have 4 as a factor. Katie is correct. Since 4 is a factor of 8, any multiple of 8 will also be a multiple of 4. Katie is incorrect. 80 is a number that has 8 as a factor but not 4. Katie is incorrect; just because 4 is half of 8 does not mean that a number that has 8 as a factor will also have 4 as a factor. HELP PLS ASAP PLS AND THANK U An online furniture store sells chairs for $200 each and tables for $450 each. Every day, the store can ship a maximum of 20 pieces of furniture and must sell at least $4800 worth of chairs and tables. If xx represents the number of tables sold and yy represents the number of chairs sold, write and solve a system of inequalities graphically and determine one possible solution. Inequality 1 What was the cause of the holocaust happen and explain the political, cultural, economic reasons why as well because I am curious ????? URGENT The time it takes Susan to drive to work each day is normally distributed with a mean of 42 minutes and a standard deviation of 4 minutes.Approximately what percent of workdays does it take Susan between 38 and 46 minutes to drive to work?50%68%95%99.7% Breeding can mean "producing offspring" or "good upbringing or good training. " How would you explain the double meaning of the word in line 8?