if the temperature of a radiator is increased from 27ºc to 54ºc, by what factor does the radiating power change?

Answers

Answer 1

The power radiated by the radiator changes by a factor of 14.1573 when the temperature is increased from 27°C to 54°C.

The formula that relates the power radiated by an object with the fourth power of the temperature is known as the Stefan-Boltzmann Law. It is stated as follows: P = σA(T⁴), where P is the power radiated, σ is the Stefan-Boltzmann constant (5.67 × 10⁻⁸ W/m²K⁴), A is the surface area of the radiator, and T is the temperature in Kelvin.

We must first convert the temperature to Kelvin:

TK = T°C + 273.15

TK1 = 27°C + 273.15 = 300.15 K

TK2 = 54°C + 273.15 = 327.15 K

The factor by which the power radiated changes is the ratio of the power at the new temperature to the power at the original temperature. The equation is as follows:

P2/P1 = (T2/T1)⁴

Substituting the given values:

P2/P1 = (327.15/300.15)⁴

P2/P1 = 1.8856⁴

P2/P1 = 14.1573

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Related Questions

draw the structure for the product from the reaction of 1,3-cyclohexadiene and maleic acid (cis-2-butenedioic acid).

Answers

The reaction between 1,3-cyclohexadiene and maleic acid (cis-2-butene-dioic acid) leads to the formation of a Diels-Alder adduct.

The product formed is a bicyclic compound resulting from the cycloaddition reaction between 1,3-cyclohexadiene and maleic acid. The reaction involves the formation of a new six-membered ring fused with the cyclohexene ring of 1,3-cyclohexadiene.

The reaction proceeds via the concerted [4 + 2] cycloaddition mechanism, where the diene (1,3-cyclohexadiene) reacts with the dienophile (maleic acid) to form a new sigma bond and two new pi bonds. The resulting adduct exhibits a fused ring system with a double bond in the newly formed six-membered ring.

The specific arrangement of substituents and stereochemistry in the product can vary depending on the orientation of the reactants and the conditions of the reaction. It is important to consider the regioselectivity and stereochemistry when drawing the complete structure of the product.

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What is the process of splitting into two cells called?

Answers

That is Mitosis...Hope that helps

An unknown acid, HA, has a percent dissociation of 2.16%. If the initial concentration of the acid is 0.084 M. what is the pH of the solution? A.1.08 B.11.26 C.2.74 D.1233 E.1.67

Answers

When, unknown acid, HA, having a percent dissociation of 2.16%. If the initial concentration of the acid is 0.084 M. Then, the pH of the solution is approximately 2.74. Option C is correct.

To determine the pH of the solution, we first need to calculate the concentration of H⁺ ions in the solution. The percent dissociation is given as 2.16%, which means that 2.16% of the initial concentration of the acid dissociates into H⁺ ions.

Percent dissociation = (concentration of dissociated acid / initial concentration of acid) × 100

2.16% = (concentration of H⁺ / 0.084 M) × 100

Let's solve for the concentration of H⁺;

2.16/100 = concentration of H⁺ / 0.084

0.0216 = concentration of H⁺ / 0.084

Concentration of H⁺ = 0.0216 × 0.084

Concentration of H⁺ = 0.0018144 M

Now that we have the concentration of H⁺ ions, we can calculate the pH using the formula;

pH = -log10(concentration of H⁺)

pH = -log10(0.0018144)

pH ≈ 2.74

Therefore, the pH of the solution is approximately 2.74.

Hence, C. is the correct option.

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Which compound in each pair is more soluble in water? (a) Magnesium hydroxide or nickel(II) hydroxide (b) Lead(II) sulfide or copper(II) sulfide (c) Silver sulfate or magnesium fluoride

Answers

The more soluble compounds in water are: (a) Nickel(II) hydroxide over magnesium hydroxide, b) Copper(II) sulfide over lead(II) sulfide, (c) Magnesium fluoride over silver sulfate.

Solubility is the ability of a substance to dissolve in a solvent, such as water. It depends on several factors, including the nature of the solute and the solvent, as well as their respective chemical properties.

(a) Magnesium hydroxide (Mg(OH)2) and nickel(II) hydroxide (Ni(OH)2) are both metal hydroxides. However, nickel(II) hydroxide is more soluble in water than magnesium hydroxide. This is because nickel(II) hydroxide forms a more stable complex with water molecules, resulting in better solvation and higher solubility.

(b) Lead(II) sulfide (PbS) and copper(II) sulfide (CuS) are both metal sulfides. Copper(II) sulfide is more soluble in water than lead(II) sulfide. Copper(II) sulfide has a smaller lattice energy and forms a more stable complex with water, leading to higher solubility compared to lead(II) sulfide.

(c) Silver sulfate (Ag2SO4) and magnesium fluoride (MgF2) are both ionic compounds. However, magnesium fluoride is more soluble in water than silver sulfate. This is due to the higher lattice energy of silver sulfate and the stronger ion-dipole interactions between magnesium fluoride and water molecules, resulting in greater solubility for magnesium fluoride.

The more soluble compounds in water are:

(a) Nickel(II) hydroxide over magnesium hydroxide

(b) Copper(II) sulfide over lead(II) sulfide

(c) Magnesium fluoride over silver sulfate.

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Did Dalton believe that atoms could be created or destroyed? Explain

Answers

Dalton proposed his atomic theory in 1804. ... Atoms cannot be subdivided, created, or destroyed. Atoms of different elements can combine in simple whole number ratios to form chemical compounds. In chemical reactions, atoms are combined, separated, or rearranged.

☁️ Answer ☁️

Yes.

"In so doing, he became the first scientist to explain the behavior of atoms in terms of the measurement of weight. He also uncovered the fact that atoms couldn't be created or destroyed. Dalton's theory additionally examined the compositions of compounds, explaining that the tiny particles (atoms) in a compound were compound atoms"

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Have a nice day noona/hyung.

34.56 + 42.235 x 0.0123 – 0.001

with correct sig figs

Answers

Answer: 35.078 to 3 significant figures

Explanation:

Solving;

34.56 + 42.235 * 0.0123 - 0.001

We solve the multiplication first according to the BODMAS rule.

So,

42.235 * 0.0123 = 0.51949

Doing the addition,

34.56 + 0.51949 - 0.001

This gives;

35.079 - 0.001

And finally the subtraction gives;

= 35.078


Please help help help help

Answers

Answer:

50000 dollars or 5 e5

Explanation:

Mr. Garibay has [tex]5.0 * 10^4[/tex] dollars in his bank.

Scientific notation represents the data in the format of expanded number or with e character.

For instance, 5.0 * 10^4 dollars = 50000 dollars or 5 e5

what is a chemical equation

Answers

Answer:

"Symbolic representation of a chemical reaction in the form of symbols and formulae"

Answer:

A chemical equation is the symbolic representation of a chemical reaction in the form of symbols and formulas.

Explanation:

Example- Zinc metal reacts with dilute sulphuric acid to form zinc sulphate and hydrogen gas. This equation is written as: Zn+H2SO4→ZnSO4+H2.

Explain how scientists study the Earth’s interior. PLEASE HELP :))))!

Answers

Answer:

Scientists study Earth's interior by studying

seismic waves. Seismic waves are waves of energy that travel

through Earth.

Explanation:

here ya goooooooo!!!!!!!!!!!!

Answers

Answer:

Thank youuuuu bestie, you really pulling through

Answer:

yessss

Explanation:

WILL GIVE BRANLIEST!! EASY BUT I WAS TO LAZY TO LEARN!! WILL FOREVER BE GREATFUL!!! WILL GIVE BRANLIEST!! EASY BUT I WAS TO LAZY TO LEARN!! WILL FOREVER BE GREATFUL!!!

8. How much of a 25ml, closed, container would 5g of gas fill?


A) 15 ml

B) 10 ml

C) 25 ml

D) 20 ml

12. What is the pressure of a gas if 8.04 mol occupies 31.8 L at 308 K?

A) 6.39 atm

B) 5 atm

C) 3 atm

D) 7 atm

Answers

Answer:

The gas will fill the entire 25 mL of the container. Hope this helps

Explanation:

A solution is made by mixing 38 mL of ethanol and 100 mL of toluene. What is the volume percentage of ethanol in the solution? Select the correct answer below: a) 28% b) 35% c) 38% d) 46%

Answers

The correct answer is option A) 28%. The volume percentage of ethanol = (volume of ethanol / total volume of solution) x 100Volume percentage of ethanol = (38 mL / 138 mL) x 100Volume percentage of ethanol = 0.2754 x 100Volume percentage of ethanol = 27.54 % ≈ 27.6 %

The volume percentage of ethanol in the solution is 27.6%. The volume percentage is the ratio of the volume of solute to the volume of the solution multiplied by 100. It is denoted by (v/v)% and it is used in chemistry to measure the volume of a solute dissolved in a solution. To find the volume percentage of ethanol in the solution, we first need to calculate the total volume of the solution. The total volume of the solution = volume of ethanol + volume of toluene= 38 mL + 100 mL= 138 mL.

Now, we can calculate the volume percentage of ethanol in the solution. The volume percentage of ethanol = (volume of ethanol / total volume of solution) x 100. The volume percentage of ethanol = (38 mL / 138 mL) x 100. The volume percentage of ethanol = 0.2754 x 100Volume percentage of ethanol = 27.54 % ≈ 27.6 %Therefore, the correct answer is option A) 28%.

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Look at the following enthalpy diagram. Select all that apply.
1. The products have more energy than the reactants.
2. This is an addition reaction.
3. A large activation energy is required for this reaction to take place.
4.The products are more stable than the reactants.
5. This is a substitution reaction.

Answers

Answer:

Option 2 and 4 are correct

Explanation:

The reactants in the attached image have more enthalpy and hence less stability as they are more reactive. Thus, Product is more stable than the reactants.

This is an addition reaction in which two reactants add up to form the product.

Very less activation energy is required as the reactants themselves are unstable, possess high energy and hence are very reactive.

Reactants have more energy than the products.  

This type of fungi is used to make bread as it converts sugar into carbon dioxide, causing the bread dough to rise.

baking soda

yeast

mold

cyanobacteria

Answers

Answer: Ik its too late but the answer is yeast.

Explanation: Sugar is yeasts food. If you mix sugar with yeast, and put it in something such as bread, a bottle with a balloon over it, or etc. It will cause it to rise.

How does viscosity affect boiling point?

A. Higher viscosity = Lower boiling point

B. Lower viscosity = Higher boiling point

C. Higher viscosity = Higher boiling point

D. Viscosity has no effect on boiling point

Answers

D- viscosity has no effect on boiling point

Write balanced half-reactions for the following redox reaction: Cr2O72−(aq)+14H+(aq)+3Zn(s)→2Cr3+(aq)+7H2O(1)+3Zn2+ (aq) reduction:___ oxidation: ___

Answers

Balanced half-reactions for the given redox reaction are Reduction: Cr2O72-(aq) + 14 H+(aq) + 6 e- → 2 Cr3+(aq) + 7 H2O(l), Oxidation: Zn(s) → Zn2+(aq) + 2 e-. As the reaction proceeds, Zn is oxidized and Cr2O72- is reduced. It is a redox reaction because it involves both oxidation and reduction.

In the half-reaction of oxidation, zinc atoms donate two electrons to become zinc ions. Therefore, oxidation occurs at the anode, which produces electrons that flow into the external circuit. In the reduction half-reaction, Cr2O72- accepts six electrons and seven hydrogen ions to become Cr3+ and water. Therefore, reduction occurs at the cathode, which consumes the electrons produced by the anode. Therefore, the overall balanced redox reaction is Cr2O72-(aq) + 14 H+(aq) + 3 Zn(s) → 2 Cr3+(aq) + 7 H2O(l) + 3 Zn2+(aq). The reaction can be explained as follows: zinc atoms donate two electrons to each hydrogen ion present in the acidic solution to form hydrogen gas, which causes slow corrosion of the zinc electrode. The dichromate ion acts as the oxidizing agent by accepting electrons from the zinc electrode to form zinc ions.

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Given the reaction below, which of the following gives the expressions relating the rates of consumption of the reactants and the rates of formation of the products? 2LaCl3 3Na2 CO3 - La2(CO3)3 6NaCl Select the correct answer below: A[La2(CO3)3] A[NaCI] 6 Δ/ A[LaCl3] 2 At A[Na2CO3] 3 At 1 A[Na2CO3] At 1 ΔNaCi] Δ/ 1 A[LaCl3] At A[La2(CO3)3] At 1 ΔNaaCO:] 1 A[LaCl3] 2 At A[La2(CO3)3] 1 ΔNaC1] At At At 3A[NA2CO3] At A[La2(CO3)3] A[NaCI] 6 At A[LaCl3] -25 At At

Answers

The correct expression relating the rates of consumption of reactants and the rates of formation of products for the given reaction is A[[tex]LaCl_{3}[/tex]] / 2Δt = A[La_{2}(CO_3){3}] / 3Δt = A[[tex]Na_{2}CO_{3}[/tex]] / Δt.

The balanced chemical equation for the reaction is 2LaCl_{3}+ 3[tex]Na_{2}CO_{3}[/tex]→ La_{2}(CO_3){3} + 6NaCl. To determine the expressions relating the rates of consumption of reactants and the rates of formation of products, we can use the stoichiometric coefficients from the balanced equation. According to the stoichiometry of the reaction, for every 2 moles of [tex]LaCl_{3}[/tex]consumed, 1 mole of La_{2}(CO_3){3}is formed. Therefore, the expression relating the rates of consumption of LaCl3 and formation of La_{2}(CO_3){3}is A[LaCl_{3}] / 2Δt = A[[tex]La_{2}(CO_3){3}[/tex]] / Δt. Similarly, for every 3 moles of [tex]Na_{2}CO_{3}[/tex]consumed, 1 mole of La_{2}(CO_3){3} is formed. Therefore, the expression relating the rates of consumption of [tex]Na_{2}CO_{3}[/tex] and formation ofLa_{2}(CO_3){3}is A[] / 3Δt = A[La_{2}(CO_3){3}] / Δt.

From the balanced equation, we can also see that 6 moles of NaCl are formed for every 2 moles of LaCl3 consumed. However, the question does not provide options involving the rate of consumption of NaCl. In conclusion, the correct expression relating the rates of consumption of reactants and the rates of formation of products for the given reaction is A[LaCl_{3}] / 2Δt = A[La_{2}(CO_3){3}] / 3Δt = A[[tex]Na_{2}CO_{3}[/tex]] / Δt.

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calculate the concentrations of all species in a 1.40 m nach3coo (sodium acetate) solution. the ionization constant for acetic acid is a=1.8×10−5 .
(Na+) = ...... M
(OH-) = ...... M
(H2O+) = ...... M
(CH3COOH-) = ...... M
(CH3COOH) = ..... M

Answers

The concentrations of the species in the 1.40 M NaCH₃COO solution are (Na⁺) = 1.40 M, (OH⁻) = 0 M, (H₂O⁺) = 0 M, (CH₃COOH⁻) = 0.00502 M, and (CH₃COOH) = 0.00502 M.

To calculate the concentrations of the species in a 1.40 M NaCH₃COO (sodium acetate) solution, we need to consider the dissociation of sodium acetate and the ionization of acetic acid.

The dissociation of sodium acetate (NaCH₃COO) can be represented as follows

NaCH₃COO → Na⁺ + CH₃COO⁻

Since sodium acetate fully dissociates in water, the concentration of Na⁺ will be the same as the initial concentration of sodium acetate: 1.40 M.

The ionization of acetic acid (CH₃COOH) can be represented as follows

CH₃COOH ⇌ H⁺ + CH₃COO⁻

The ionization constant for acetic acid (Ka) is given as 1.8×10⁻⁵

Let's denote the initial concentration of acetic acid as x M. At equilibrium, the concentration of H⁺ and CH₃COO⁻ will also be x M.

Using the ionization constant expression for acetic acid, we can write

Ka = [H⁺][CH₃COO⁻] / [CH₃COOH]

1.8×10⁻⁵ = x * x / (1.40 - x)

Since the value of x is expected to be small compared to 1.40, we can approximate the denominator as 1.40.

1.8×10⁻⁵ = x² / 1.40

Rearranging the equation

x² = 1.8×10⁻⁵ × 1.40

x² = 2.52 × 10⁻⁵

Taking the square root of both sides

x = √(2.52×10⁻⁵)

x ≈ 0.00502 M (rounded to four decimal places)

Now we can calculate the concentrations of the species

(Na⁺) = 1.40 M (same as the initial concentration of sodium acetate)

(OH⁻) = 0 M (since sodium acetate and acetic acid do not provide OH⁻ ions)

(H₂O⁺) = 0 M (water does not provide H⁺ ions)

(CH₃COOH⁻) = 0.00502 M

(CH₃COOH) = 0.00502 M

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What do elements and compounds have in common? And how do they differ?

I will mark brainliest for the best answer.

WARNING: DON'T PUT LINKS I WILL REPORT YOU!

Answers

elements and compounds might appear different, yet they share many similarities, like being made up of atoms and having bonds linking their atoms together. Elements and compounds also share the qualities of being both pure and homogeneous substances. Substances can be categorised as either elements or compounds. Both of these are made up of atoms, the only difference is an element is made of one type of atom whereas compounds are made of two or more different types of atoms.

A gas made up of N and O contains 30.4% N. At STP (0 C and 1 atm), 4.0 g of the gas occupies a volume of 0.974 L. Calculate the molecular formula.

Answers

The molecular formula of the compound, given that the compound made up of N and O contains 30.4% N is N₂O₄

How do i determine the molecular formula of the compound

First, we shall obtain the molar mass of the compound. Details below:

Volume (V) = 0.974 LTemperature (T) = 0 °C = 0 + 273 = 273 KPressure (P) = 1 atmGas constant (R) = 0.0821 atm.L/mol KMass = 4.0 gMolar mass = ?

The mole of the gas is obtained as follow:

PV = nRT

1 × 0.974 = n × 0.0821 × 273

Divide both sides by 24.0553

n = 0.974 / (0.0821 × 273)

n = 0.043 mole

Thus, the molar mass is obtained as:

Molar mass = mass / mole

Molar mass = 4 / 0.043

Molar mass = 93 g/mol

Next, we shall obtain the empirical formula of the compound. details below:

Nitrogen (N) = 30.4%Oxygen (O) = 100 - 30.4 = 69.6%Empirical formula =?

Divide by their molar mass

N = 30.4 / 14 = 2.171

O = 69.6 / 16 = 4.35

Divide by the smallest

N = 2.171 / 2.171 = 1

O = 4.35 / 2.171 = 2

Thus, the empirical formula is NO₂

Finally, we shall obtain the molecular formula of the compound. This is shown below:

Empirical formula = NO₂Molar mass of compound = 93 g/molMolecular formula =?

Molecular formula = empirical × n = mass number

[NO₂]n = 150

[14 + (2 × 16)]n = 150

46n = 93

Divide both sides by 46

n = 93 / 46

n = 2

Molecular formula = [NO₂]n

Molecular formula = [NO₂]₂

Molecular formula = N₂O₄

Thus, the molecular formula of the compound is N₂O₄

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How many liters of HCI at STP are produced from 150.0 g of chlorine gas?

Answers

Answer:

As we know that

At STP

1 mole of any gas occupies 22.4L  

so

15.7L / 22.4L/mole = 0.7moles Cl2  

0.7moles x 6.022x10^23molecules/mole = 4.22x10^23molecules

hope it helps

Write the net cell equation for this electrochemical cell. Phases are optional. Do not include the concentrations.
Co(s)∣∣Co2+(aq, 0.0155 M)‖‖Ag+(aq, 2.50 M)∣∣Ag(s)

Answers

An electrochemical cell consists of two half-cells separated by a salt bridge or porous membrane that allows ions to flow freely between the two halves.

One half-cell contains an oxidizing agent, which is responsible for accepting electrons, while the other half-cell contains a reducing agent, which is responsible for donating electrons. In an electrochemical cell, the overall reaction must be balanced so that no charge accumulates in either half-cell. The equation that represents the net cell reaction for the given electrochemical cell is as follows.Co(s) + 2Ag⁺(aq) → Co⁺²(aq) + 2Ag(s)The given electrochemical cell consists of the following half-reactions:Anode: Co(s) → Co²⁺(aq) + 2e⁻Cathode: 2Ag⁺(aq) + 2e⁻ → 2Ag(s)The Co metal oxidizes to Co²⁺ ions at the anode, producing two electrons. The Ag⁺ ions are reduced to Ag metal at the cathode, receiving two electrons. These two half-reactions combine to yield the net cell equation.

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Which of the following is an indicator that a chemical reaction occurred?
A precipitate is formed
The state of matter changed
It was melted
The identity of the substance did not change​

Answers

Answer:

the state of matter changed

Explanation:

Answer:

A) A precipitate is formed

Explanation:

occurs in aqueous solution when two ions bond together to form an insoluble salt, which is known as the precipitate.

Which of the following salts will be substantially more soluble in acidic solution than in pure water? Briefly explain your answers.
ZnCO3, ZnS, BiI3, AgCN,
Ba3(PO4)2

Answers

Among the salts listed, ZnCO3 (zinc carbonate) and Ba3(PO4)2 (barium phosphate) are the salts that will be substantially more soluble in acidic solution than in pure water.

In the case of ZnCO3, it is an insoluble salt in pure water due to the carbonate ion's basic nature. Carbonate ions (CO3^2-) react with water molecules to form bicarbonate ions (HCO3-) and hydroxide ions (OH-) in an equilibrium reaction. The presence of an acidic solution would shift this equilibrium toward the reactant side, favoring the formation of CO3^2- ions and increasing the solubility of ZnCO3. Similarly, Ba3(PO4)2, which is barium phosphate, is insoluble in pure water. Phosphate ions (PO4^3-) have a basic nature and tend to form insoluble salts with many cations. In an acidic solution, the excess of hydrogen ions (H+) would react with phosphate ions, forming dihydrogen phosphate ions (H2PO4-) or monohydrogen phosphate ions (HPO4^2-). This reaction reduces the concentration of phosphate ions, decreasing the formation of insoluble Ba3(PO4)2 and enhancing its solubility. On the other hand, ZnS (zinc sulfide), BiI3 (bismuth triiodide), and AgCN (silver cyanide) do not show a significant change in solubility in an acidic solution compared to pure water. Their solubilities are primarily governed by factors such as the lattice energy and the ion-ion interactions within the crystal lattice, which are less influenced by changes in pH.

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What does dalton mean

Answers

Answer:

Meaning:from the valley town; the settlement in the valley. Sounding like the proper English surname it was derived from, Dalton is all about being smart and trendy with equal parts cool and nerdy. Dalton, which comes from “dael” or “valley,” and “tun,” or “settlement,” may have peaked in the 1990s, but that's okay.

Explanation:

a unit used in expressing the molecular weight of proteins, equivalent to atomic mass unit.

Answer:

A unit used in expressing the molecular weight of proteins, equivalent to atomic mass unit.

Or in simpler terms a unit of measure.

Explanation:

Hope this helps and have a great say!!!!

28)
What is a molecule made from joining together small molecules called monomers?
A)
amino acid
B)
glucose molecule
nucleotide
D)
polymer

Answers

Answer:

D [polymers]

Explanation:

The joining of monomers (small molecules) is polymerization.

The answer is c gluecose

How many times higher is the concentration of H+ in the Hubbard Brook sample than in unpolluted rainwater?

Answers

Answer:

1. 7 (a neutral solution)

Answer: 10-7= 0.0000001 moles per liter

2. 5.6 (unpolluted rainwater)

Answer: 10-5.6 = 0.0000025 moles per liter

3. 3.7 (first acid rain sample in North America)

Answer: 10-3.7 = 0.00020 moles per liter

The concentration of H+ in the Hubbard Brook sample is 0.00020/0.0000025, which is 80 times higher than the H+ concentration in unpolluted rainwater.

Explanation:

Saturated steam at 273.3°C is used to heat a countercurrently flowing stream of methanol vapor from 70.0°C to 252.9°C in an adiabatic heat exchanger. The flow rate of the methanol is 6530 standard liters per minute, and the steam condenses and leaves the heat exchanger as liquid water at 90.0°C. Physical Property Tables Entering Steam Calculate the required flow rate of the entering steam in m/min. m3/min Heat Transferred Calculate the rate of heat transfer from the water to the methanol (kW). i kW

Answers

To calculate the required flow rate of the entering steam and the rate of heat transfer from water to methanol, we can use the principles of energy balance and heat transfer.

Given data:

Temperature of saturated steam entering the heat exchanger (T1): 273.3°C

Temperature of methanol vapor entering the heat exchanger (T2): 70.0°C

Temperature of methanol vapor leaving the heat exchanger (T3): 252.9°C

Temperature of water leaving the heat exchanger (T4): 90.0°C

Flow rate of methanol vapor (Q2): 6530 standard liters per minute

Step 1: Calculate the required flow rate of entering steam (Q1) in m³/min.

We need to determine the mass flow rate of methanol vapor (m2) and the mass flow rate of water (m4) to perform the energy balance.

To convert the flow rate of methanol vapor from standard liters per minute to m³/min, we use the ideal gas law:

PV = nRT

where P is pressure, V is volume, n is the number of moles, R is the ideal gas constant, and T is temperature.

Using the ideal gas law, we can calculate the volume of methanol vapor (V2) in m³/min:

V2 = (Q2 * R * T2) / (P * 1000)

Assuming the pressure is constant, we can write the equation for the methanol vapor mass flow rate (m2) as:

m2 = V2 * ρ2

where ρ2 is the density of methanol vapor at temperature T2.

Step 2: Calculate the mass flow rate of water (m4) in kg/min.

We can determine the mass flow rate of water based on its specific heat capacity (Cp) and the temperature change (ΔT = T3 - T4).

Using the equation:

Q = m4 * Cp * ΔT

where Q is the heat transferred from water to methanol, we can solve for m4:

m4 = Q / (Cp * ΔT)

Step 3: Calculate the required flow rate of entering steam (Q1) in m³/min.

To perform the energy balance, we assume that the heat transferred from the steam to the methanol is equal to the heat transferred from the water to the methanol:

m1 * H1 = m2 * H2 + m4 * H4

where m1 is the mass flow rate of entering steam, H1 is the enthalpy of saturated steam at temperature T1, H2 is the enthalpy of methanol vapor at temperature T2, and H4 is the enthalpy of water at temperature T4.

Rearranging the equation to solve for m1:

m1 = (m2 * H2 + m4 * H4) / H1

Step 4: Calculate the rate of heat transfer from water to methanol (Q) in kW.

We can now substitute the values of m2, m4, and H2, H4 into the energy balance equation to calculate Q:

Q = m2 * (H2 - H3)

where H3 is the enthalpy of methanol vapor at temperature T3.

Finally, we can convert the flow rates from kg/min to m³/min by dividing by the density of water and methanol vapor, respectively.

Conclusion:

The required flow rate of entering steam (Q1) can be calculated using the mass flow rates and enthalpies, and the rate of heat transfer from water to methanol (Q) can be determined using the enthalpies.

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Gravitational potential energy depends on the

Answers

Answer:

Gravitational potential energy depends on an object's weight and its height above the ground (GPE = weight x height).Explanation:

calculate the hydroxide ion concentration in an aqueous solution that contains 3.50 × 10-3 m in hydronium ion.

Answers

The hydroxide ion concentration in the given aqueous solution is 2.86 × 10-12 M.

The given aqueous solution has a hydronium ion concentration of 3.50 × 10-3 M. To calculate the hydroxide ion concentration, the following steps need to be followed:

Step 1: Write the balanced chemical equation for the dissociation of water:

H2O(l) ⇌ H+(aq) + OH-(aq)

Step 2: Write the expression for the equilibrium constant for this reaction:

Kw = [H+(aq)][OH-(aq)]

Step 3: Substitute the value of

Kw (1.0 × 10-14 M2 at 25°C) and the given hydronium ion concentration (3.50 × 10-3 M) in the expression to solve for hydroxide ion concentration:

[OH-(aq)] = Kw/[H+(aq)] = (1.0 × 10-14 M2) ÷ (3.50 × 10-3 M) = 2.86 × 10-12 M

Therefore, the hydroxide ion concentration in the given aqueous solution is 2.86 × 10-12 M.

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