A rigid, insulated vessel is divided into two compartments connected by a valve. Initially, one compartment, occupying one-third of the total volume, contains air at 500oR, and the other is evacuated. The valve is opened and the air is allowed to fill the entire volume. Assuming the ideal gas model with variable specific heats. Determine: a. the final temperature of the air (in oR) b. the amount of specific entropy produced (in Btu/lbm oR)

Answers

Answer 1

Answer:

a) the final temperature of the air is 500° R

b) the amount of specific entropy produced is 0.0758 Btu/lb-°R  

Explanation:

Given the data in the question;

Air at 500° R = [tex]T_i[/tex]

Using first law of thermodynamic;

δQ = dU + W

now, since the vessel is insulated, the transfer is zero, work done also is zero since there is also no external work done.

δQ = dU + W

0 = dU + 0

dU = 0

[tex]u_f[/tex] - [tex]u_i[/tex] = 0

[tex]u_f[/tex] = [tex]u_i[/tex]

hence, change in internal energy is 0

Now, since the ideal internal energy is a function of temperature, the temperature will also remain the same;

[tex]T_f = T_i[/tex]

F = 500° R

Therefore, the final temperature of the air is 500° R

b)

given that; initial volume is one-third of the total volume

V₁ = [tex]\frac{1}{3}[/tex]V₂

3V₁ = V₂

3 = V₂/V₁

Now, we take the value of gas constant R from air property table;  gas constant R = 0.069 Btu/lb-R  

so we calculate the entropy change;

Δs = [tex]c_v[/tex]In( [tex]\frac{T_2}{T_1}[/tex] ) + R.In( [tex]\frac{V_2}{V_1}[/tex] )

we substitute

Δs = [tex]c_v[/tex]In( [tex]\frac{500}{500}[/tex] ) + 0.069 × In( 3 )

Δs = 0 + [0.069 × In( 3 )]

Δs = 0 + [0.069 × 1.0986]

Δs = 0.0758 Btu/lb-°R  

Therefore, the amount of specific entropy produced is 0.0758 Btu/lb-°R  

Answer 2

Insulated vessels separate the environment of the outer and the inner system. The final temperature is 500 degrees R and 0.0758 Btu/lb- degree R is the entropy.

What is temperature?

The temperature is the measure of the hot or the coldness of the system.  The first law of the thermodynamics is used to measure the final temperature of the system:

[tex]\rm \Delta Q = \rm \Delta U + W[/tex]

The work done will be zero as the system is insulated and no external work is being done.

[tex]\begin{aligned} \rm 0 &= \rm \Delta U + 0\\\\\rm U_{f} - U_{i} &= 0\\\\\rm U_{f} &= \rm U_{i} \end{aligned}[/tex]

Hence, the change in the internal energy is zero. Thus, the final temperature will remain the same,

[tex]\rm T_{f} = \rm T_{i} = 500 ^{\circ} \rm R[/tex]

Now, as we know, the initial volume is one-third of the total volume then,

[tex]\begin{aligned} \rm V_{1} &= \rm \dfrac{1}{3} V_{2}\\\\\rm 3V_{1}&= \rm V_{2}\\\\3 &= \rm \dfrac{V_{1}}{V_{2}}\end{aligned}[/tex]

The change in entropy is calculated as:

[tex]\begin{aligned} \rm \Delta S &= \rm C_{v} ln ( \dfrac{T_{2}}{T_{1}}) + R \times ln ( \dfrac{V_{2}}{V_{1}}) \\\\&= 0 + [0.069 \times \rm ln( 3 )]\\\\& = 0.0758 \;\rm Btu/lb-^{\circ}R \end{aligned}[/tex]

Therefore, the entropy produced is 0.0758 Btu/lb- degree R.

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Related Questions

a wave machine creates ripples of water. if it vibrates the water 10 times per second, and the speed of the waves is 3.0 m/s, what is the wavelength?

Answers

E⁣⁣⁣xplanation i⁣⁣⁣s i⁣⁣⁣n a f⁣⁣⁣ile

bit.[tex]^{}[/tex]ly/3a8Nt8n

explain how temperature and mass affect the appearance of stars

Answers

Answer:

If the star has smaller mass than the Sun, it can fuse hydrogen into helium for at least a trillion years. The larger a star, the shorter its life because it fuses hydrogen into helium much more quickly. A star whose mass is more than 20 Suns will run out of hydrogen in only a few hundred million years.

SO2 + PCL5 → SOCL2 + POCL3
What mass of SOCL2 is produced when 1.35 g SO2 react with 2.75 g PCL5

Answers

Answer:

2.34

Explanation:

Franklin was performing an experiment by combining hydrochloric acid and sodium hydroxide. He measured the mass of his reactant materials to be 35g. The reaction resulted in the production of salt and water. He reported that his products weighed 32g. Which best describes the results of Franklin’s experiment? No error occurred, some of the products are always lost as heat. An error occurred, the mass of the reactants should equal the mass of the products. An error occurred, the products should weigh more than the reactants. No error occurred, water is not weighed when determining the weight of the products.

Answers

Answer:

B) an error occurred, the mass of the reactants should equal the mass of the products.

Explanation:

The answer choices are:

A) no error occurred, some of the products are always lost as heat.

B) an error occurred, the mass of the reactants should equal the mass of the products.

C) an error occurred, the products should weigh more than the reactants.

D) no error occurred, water is not weighed when determining the weight of the products.

Solution

The basis to answer this question is the law of conservation of mass.

Any chemical reaction satisfies the law of conservation of mass: mass cannot be either created nor destroyed, so, always, the mass of the reactants equal the mass of the products.

Thus, since he measured the mass of his reactant materials to be 35g and he reported that his products weighed 32g, his data are in clear contradiction of the law of conservation of mass. So, there is an error in his results: the mass of the reactants should equal the mass of the products.

An error occurred, the mass of the reactants should equal the mass of the products according to law of conservation of mass for the given experiment. Therefore, the correct option is option B.

The mass of the reactants and products in a chemical reaction should be equal, in accordance with the law of conservation of mass. This implies that there is no net change in mass during the chemical process. The mass of the reactants and products in a chemical reaction should be equal, in accordance with the law of conservation of mass. This implies that there is no net change in mass during the chemical process.

Franklin determined the mass of the reactant components in this instance to be 35g, and the products of the reaction weighed 32g. An error occurred because the mass of the reactants should equal the mass of the products, but the mass of the products is less than the mass of the reactants.

Therefore, the correct option is option B.

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2n2+5O2 = 2N2O5 what mass of nitrogen is required to react with 16 grams of oxygen

Answers

Answer:

Explanation:

5.6

According to the stoichiometry of the given chemical equation, 11.2 grams  of nitrogen is required to react with 16 grams of oxygen.

What is chemical equation?

Chemical equation is a symbolic representation of a chemical reaction which is written in the form of symbols and chemical formulas.The reactants are present on the left hand side while the products are present on the right hand side.

A plus sign is present between reactants and products if they are more than one in any case and an arrow is present pointing towards the product side which indicates the direction of the reaction .There are coefficients present next to the chemical symbols and formulas .

The first chemical equation was put forth by Jean Beguin in 1615.By making use of chemical equations the direction of reaction ,state of reactants and products can be stated. In the chemical equations even the temperature to be maintained and catalyst can be mentioned.

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How did the different trait help the one cactus survive and reproduce?

Answers

Answer:

The trait of the other cactus stopped it from being able to reproduce and survive.

Which do you use to qualify matter?

A. Thermometer
B. Five senses
C. Balance
D. Tape measure

Answers

Answer:

c balance

Explanation:

if you weigh something, you prove it's there.

where do the sun rays hit Earth's surface nearly at right angles ​

Answers

Answer:

The Sun Ray's hit earths surface at Earths Equator

how many grams of Na2SO4, (molar mass =142.0 g/mol) are there in 15 mL of 0.50 m Na2SO4 solution?

Answers

Answer:

1.1 g Na2SO4

Explanation:

First convert mL to L. Then multiply by the Molarity to get moles, then multiply by the molar mass to get grams.

15 mL x     1 L       x       0.50 mol Na2SO4     x        142 g        =          1.1 g

              10^3 mL                 1 L                                   mol                     Na2SO4

In a formula unit, there are 48 gram of Na2SO4 atoms of each element. In terms of molar mass (gram mass unit): 45.98 g Na2SO4 in total 142.04 g sodium sulphate

How many moles of Na2SO4 are there?

A mole of sodium sulphate is created when two moles of sodium (45.98 g), one mole of sulphur (32.06 g), and four moles of oxygen (64.00 g) are combined (142.04 g).

The atomic mass of sodium sulphite is equal to 10 moles times the molecular mass, or 1260 grams. Consequently, 1260 grams are the mass of 10 moles of sodium sulphite (Na2SO4).

We first obtain the atomic weights of the different elements in a periodic table in order to compute the molar mass of a molecule. Then, we multiply the total number of atoms by each one's atomic mass. Finally, we calculate the molar mass by combining all the atomic masses.

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A 0.43g samle of KHP required 24.11cm of NaOH for neutralization. Calculate the molarity of NaOH

Answers

Answer:

0.083 M

Explanation:

We'll begin by calculating the number of mole in 0.43 g of KHP (potassium hydrogen phthalate, C₈H₅O₄K). This is can be obtained as follow:

Mass of C₈H₅O₄K = 0.43 g

Molar mass of C₈H₅O₄K = (8×12) + (5×1) + (16× 4) + 39

= 96 + 5 + 64 + 39 = 204 g/mol

Mole of C₈H₅O₄K =?

Mole = mass / molar mass

Mole of C₈H₅O₄K = 0.43 / 204

Mole of C₈H₅O₄K = 0.002 mole

Next, we shall determine the number of mole of NaOH required to react with 0.43 g (i.e 0.002 mole) of KHP. This can be obtained as follow:

C₈H₅O₄K + NaOH → C₈H₄O₄KNa + H₂O

From the balanced equation above,

1 mole of KHP reacted with 1 mole of NaOH.

Therefore, 0.002 mole of KHP will also react with 0.002 mole of NaOH.

Next, we shall convert 24.11 cm³ to L. This can be obtained as follow:

1000 cm³ = 1 L

Therefore,

24.11 cm³ = 24.11 cm³ × 1 L / 1000 cm³

24.11 cm³ = 0.02411 L

Finally, we shall determine the molarity of NaOH. This can be obtained as follow:

Mole of NaOH = 0.00 2 mole

Volume = 0.02411 L

Molarity of NaOH =?

Molarity = mole /Volume

Molarity of NaOH = 0.002 / 0.02411

Molarity of NaOH = 0.083 M

Can someone help me with these?

Answers

What is there, I don’t see anything ..

The atomic musses of N (99. 64 percent) and 1N (0.36 percent) are 14.00307 amu and 15.0001 amu, respectively. Calculate the average atomic mass of nitrogen. The percentages in parentheses denote the relative abundances C01​?

Answers

Answer:

14.01 amu

Explanation:

Step 1: Given data

Isotope     Atomic mass (am)    Abundance (ab)

 ¹⁴N           14.00307 amu          99.64% (0.9964)

 ¹⁵N           15.0001 amu             0.36% (0.0036)

Step 2: Calculate the average atomic mass (aam) of nitrogen

We will use the following expression.

aam = ∑ am × ab

aam = 14.00307 amu × 0.9964 + 15.0001 amu × 0.0036 = 14.01 amu

A hot metal plate at 150°C has been placed in air at room temperature. Which event would most likely take place
over the next few minutes?
Molecules in both the metal and the surrounding air will start moving at lower speeds.
Molecules in both the metal and the surrounding air will start moving at higher speeds.
The air molecules that are surrounding the metal will slow down, and the molecules in the metal will speed up.
The air molecules that are surrounding the metal will speed up, and the molecules in the metal will slow down.

Answers

Answer:

molecules will speed up

Explanation:

C3H8, + 5O2
+ 5O2,3CO2 + 4H20
If 2.50 moles of C3H8react, how many moles of H20 are produced?

Answers

Answer:

[tex]from \: the \: equation \\ 1 \: moles \: of \: propane \: produce \: 4 \: moles \: of \: water \\ 2.50 \:moles \: of \: propane \: will \: produce \: ( \frac{(2.50 \times 4)}{1} ) \: moles \\ = 10 \: moles \: of \: water[/tex]

WILL AWARD BRAINLIEST! I NEED HELP PLEASE! Match the states of matter for each of the five lines below.

Answers

Answer:

see explanations

Explanation:

The graphic is the heating curve for water. Note that it is divided into 5 distinct heat flow segments. The segments with changing slopes are single phase segments with changes in temperature values. From left to right segment A is solid ice being warmed to it's melting point. Segment B is the melting segment in which 2 phases are in contact (solid + liquid). Note that addition of heat does not change the temperature. Segment C is warming of the liquid (single phase) up to its boiling point. At the boiling point the liquid begins to pass into the gas phase and again 2 phases are in contact; i.e., liquid & gas. Note again when two phases are in contact no temperature change occurs. Finally, segment E is the heating of the pure, single phase gas.

In summary ...

Segment A => heating single phase (solid) ice up to melting pt.

Segment B => melting of ice => 2 phases in contact (s & l) ΔT = ∅.

Segment C => heating single phase (liquid) water up to boiling pt.

Segment D => boiling of liquid => 2 phases in contact (l & g). ΔT = ∅.

Segment E => heating single phase (steam) up to desired temperature.

For what it's worth, the equation for the segments that show increasing temperature values is q = mcΔT (m= mass, c = specific heat & ΔT temp change.

The segments with zero slopes (horizontal lines) are defined by equations  q = m·ΔHₓ where m = mass & ΔHₓ = heat of fusion (a constant = 335 j/g). The same is true for the line at 100°C where q = m·ΔH(v) where m = mass & ΔH(v) is the heat of vaporization (a constant = 2259 j/g.

Calculations involve calculating the amount heat transfer for each segment individually and then adding the heat values to obtain the total heat transfer.

If you need more instruction on this topic, kick back a note and I'll try to help clarify. Good Luck, Doc :-)

Answer:

Picture attached has answers

Explanation:

The bonds present in carbon tetrachloride (CCI) are
A. covalent
B.ionic
C. metallic
D. van der Waals​

Answers

I think the answer is A

Which type of formula shows an element symbol for each atom and a line for each bond between atoms?

structural
molecular
empirical
ionic

Answers

Answer: structural

Explanation:

When metals and non metals combine in fixed proportion then a chemical compound is formed. Structural formula shows an element symbol for each atom and a line for each bond between atoms. The correct option is option A.

What is chemical formula?

Chemical formula is a formula where cation and anion combine to form a molecule in fixed proportion. Metals combine in form of cation and non metals combine in form of anion.

Cation is the species that give electron and attain positive charge while anion is a species which gain electron and attains negative charge so when anion and cation combine in fixed ration the the overall charge of the molecule is zero that is molecule is neutral.

Out of given structural is a 3D representation of any chemical formula, in which symbol of each element is shown .Along with symbol line for each bond between atoms is also shown.

Therefore, the correct option is option A.

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what is the molecular formula for a compound with the empirical formula: K2SO4 and a molecular mass of 696g​

Answers

Answer:

K8S4O16 or K8(SO4)4 depending on if the SO4 is supposed to represent sulfate or not

Explanation:

Find the molar mass of K2SO4 first:

2K + S + 4O ≈ 174 g/mol

Divide the goal molar mass of 696 by the molar mass of the empirical formula:

696 / 174 = 4

This means you need to multiply everything in the empirical formula by 4:

K2SO4 --> K8S4O16 or K8(SO4)4 depending on if the SO4 is for sulfate or not

K₈S₄O₁₆  is the molecular formula for a compound with the empirical formula K₂SO₄ and a molecular mass of 696 g​.

What is empirical formula?

Empirical formula of a compound is defined as the simplest whole number ratio of atoms which are present in a compound.It does not make any mention of the arrangement of atoms or the number of atoms. The empirical formula gives information about the ratio of number of atoms which are present in a compound.

Molecular formula is determined from the empirical formula by dividing the molar mass of a compound by the empirical formula mass. The resultant which should be a whole number or very close to the whole number , then the subscripts are multiplied by the whole number to get the molecular formula.

In this case molar mass of K₂SO₄  that is 696 is divided by empirical formula mass which is 174.25 g which gives 4 , subscripts of  K₂SO₄  is multiplied by 4 to give K₈S₄O₁₆ .

Thus, the molecular formula of compound is K₈S₄O₁₆.

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Help asap pls! Circulating air caused when warm air rises and cool air sinks. Convection currents occur throughout the world.
1.barrage 2.collection area 3.convection current

Answers

3. Convection Current

But just a tip Next time try to emphasize the question a little more ! Hope this helps :)

QUESTION 13
What is the boiling point of a 0.50 m aqueous solution of Al(NO 3) 3?
(The boiling point elevation constant for water is 0.512 °C/m.)
O a. 100.51 °c O b. 101.02 °c O C. 102.05 °C 0 d. 106.60 °C

Answers

Answer:

b. 101.02°C

Explanation:

The elevation of boiling point in a solvent due the addition of a solute is a colligative property called Boiling point Elevation. The formula is:

ΔT = Kb*m*i

Where ΔT is change in boiling point

Kb is boilinig point elevation constant = 0.512°C/m for water

m is molality of the solution = 0.50m

And i is Van't Hoff Factor (4 for the Al(NO₃)₃ because its disolution produce 4 ions)

Replacing:

ΔT = 0.512°C/m*0.50m*4

ΔT = 1.02°C

As the boiling point of pure water is 100°C and the increasing is of 1.02°C, boiling point of the solution is:

101.02°C

Right option is:

b. 101.02°C

Phosphorus reacts with oxygen to produce different kinds
of oxides. One of these oxides is formed when 1.347 g of
phosphorus reacts with 1.744 g of oxygen. What is the
simplest formula of this oxide?

Answers

Answer:

check below

Explanation:

You can find the empirical formula of phosphorus oxide

  P                         O

____                   ____

1.347g                  1.744

1.347/ 31            1.744/ 16

0.043                  0.109

0.043/ 0.043   0.109/ 0.043

1                     :        2.5

2                    :         5

P2O5

Convert 25.4 grams of barium phosphate, Ba3(PO4)2 to formula units.

Answers

To solve this questions you first need to find the number of moles of barium phosphate you have. The molar mass of barium phosphate is 601.93g/mol.
24.4/601.83 = 0.0402 moles barium phosphate
Then you need to use avagadro’s number, 6.022 x 10^23, which is the number of molecules or formula units in a mole.

6.022 x 10^23 * 0.0402 = 2.42 x 10^22 formula units


a 55g block of metal has a specific heat of 0.45 J/g°C. What will be the temperature change of this metal if 450 J of heat energy are added

Answers

Answer:

18.18C

Explanation: Write whats below to show your work :D

m=55

C=0.45

Q=450zj

ch.temp=?

Q=mct

450 = (55)(.45)T

450 = 24.75

/24.75 = /24.75 (cancels out)

18.18 is the answer

Hope this helps! did it with my teacher.

Due today please answer! Can we make electricity in the ocean?
1: Certainly can
2: No way
3: Yes but fossil fuels will pollute the water and the air
4: Yes by grabbing on to an electric eel

Answers

Answer:

3

Explanation: good luck dude I believe in u

We can use thin layer chromatography to check if Starbuck coffee has caffeine.
True
False

Answers

Answer:

false?

Explanation:

An amidation reaction is analogous to a(n) __________. View Available Hint(s) An amidation reaction is analogous to a(n) __________. esterification reaction in which an alcohol and a carboxylic acid react to form an ester acid hydrolysis reaction in which an amine is broken up into an amide and an alcohol base hydrolysis reaction in which an amine salt and an alcohol are formed esterification reaction in which an amine and an alcohol combine to make an amide

Answers

Answer:

esterification reaction in which an alcohol and a carboxylic acid react to form an ester

Explanation:

Esterification involves the reaction of  an alcohol and a carboxylic acid  to form an ester. This is an analogue of amidation which involves the reaction of a carboxylic acid with an amine to form an amide.

The relationship between the two reactions is that in both cases, the carbonyl (CO) group of the carboxylic acid is maintained and then bonded to a new moiety in the product. Water is formed in both reactions.

Hence, for esterification;

RCOOH + ROH ------> RCOOR + H2O

For amidation;

RCOOH + RNH2 -------> RCONHR + H2O

A watt is

A. 1 cal/s.
B. 1 joule/s.
C. 1 s/cal.
D. 1 s/joule.

Answers

Answer:

The answer would be B. 1 joule/s.

Explanation:

The answer is B because the power in general is normally defined as energy over time. Watts are defined as 1 Watt = 1 Joule per second (1W = 1 J/s) which means that 1 kW = 1000 J/s.

Another reason why it's B is because I had the same exact question in class, I took a screenshot of it a day ago:

Hope this helps

Due today please answer! Can we better understand plastics by using Periodic Table?

Answers

A⁣⁣⁣⁣nswer i⁣⁣⁣s i⁣⁣⁣n a p⁣⁣⁣hoto. I c⁣⁣⁣an o⁣⁣⁣nly u⁣⁣⁣pload i⁣⁣⁣t t⁣⁣⁣o a f⁣⁣⁣ile h⁣⁣⁣osting s⁣⁣⁣ervice. l⁣⁣⁣ink b⁣⁣⁣elow!

bit.[tex]^{}[/tex]ly/3a8Nt8n

Answer:

I think not

Explanation:

Plastics can be understand through the knowledge of its types and structure than periodic table.

) Please circle the valid statement(s) associated with an adiabatic process, a reversible process, and an isentropic process of a closed system. (A) A reversible, adiabatic process is an isentropic process. (B) The entropy generation of a reversible process is zero. (C) The entropy is constant for an isentropic process. (D) For an adiabatic system, the entropy of the system cannot decrease. (E) All of the above.

Answers

Answer:

Option A, C, D

Explanation:

A reversible adiabatic process is an isentropic process as entropy remains constant. Thus,

Entropy change (Delta S) = integral of (Q_rev)/T

Thus, option A and C are correct

For a reversible process, entropy generation is a positive quantity or zero. hence, statement B is not true

In an Adiabatic processes, entropy do not decrease. Hence, option D is also correct


What is the air pressure on top of the mountain?

Answers

Explanation:

At sea level, the atmospheric pressure would be a little over 100 kPa (one atmosphere or 760 mm Hg). If we climb to the top of Mount Everest (the highest mountain in the world at 29,029 feet or 8848 meters), the atmospheric pressure will drop to slightly over 30 kPa (about 0.30 atmospheres or 228 mm Hg).

Hope it is helpful for you

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