Using the information in the table to the right, calculate the average atomic mass of strontium. Report to two decimal places.
A 3-column table with 4 rows titled Strontium. Column 1 is labeled Isotope with entries upper S 4 84, upper S r 86, upper S r 87, upper S r 88. Column 2 is labeled Mass in atomic mass units with entries 83.913428, 85.909273, 86.908902, 87.905625. Column 3 is labeled abundance with entries 0.56 percent, 9.86 percent, 7.00 percent, 82.58 percent.

Answers

Answer 1

The column 1 has the value of Isotope, column 2 has the value of mass in atomic mass units, and column 3 has the value of abundance and the average atomic mass of strontium is 87.47 amu.

To calculate the average atomic mass of strontium using the given information, we need to multiply the mass of each isotope by its abundance and then sum up these values. Here's the calculation:

Isotope | Mass (amu) | Abundance

^84Sr | 83.913428 | 0.56%

^86Sr | 85.909273 | 9.86%

^87Sr | 86.908902 | 7.00%

^88Sr | 87.905625 | 82.58%

To find the average atomic mass, we multiply each isotope's mass by its abundance (in decimal form) and sum up the values:

Average atomic mass = (\(Mass of ^{84Sr}\) × \(Abundance of^{84Sr}\)) + (\(Mass of ^{86Sr}\)× \(Abundance of^{86Sr}\)) + (\(Mass of ^{87Sr}\) × \(Abundance of^{87Sr}\)) + (\(Mass of ^{88Sr}\) × \(Abundance of^{88Sr}\))

Average atomic mass = (83.913428 amu × 0.0056) + (85.909273 amu × 0.0986) + (86.908902 amu × 0.0700) + (87.905625 amu × 0.8258)

Calculating this expression yields:

Average atomic mass = 0.469901638 + 8.468098826 + 6.08462314 + 72.44409075

= 87.466714354 amu

Rounding the result to two decimal places, the average atomic mass of strontium is approximately 87.47 amu.

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Related Questions

You dissolve 0.26 moles of Co(NO;) in 0.30L of water. The resulting concentration is 0.87.M.For an experiment, you need a concentration of 0.30.M. What volume of water is needed for thisconcentration to result?

Answers

According to the explanation given in a previous session, now we have the same type of question but in a different situation, we still can use the same formula and change what we are looking for now, let's set up the Dilution formula again:

M1V1 = M2V2

We have:

M1 = 0.87 M

V1 = 0.30 L

M2 = 0.30 M

V2 = ?

Now we add the values into the formula:

0.87 * 0.30 = 0.30 * V2

0.261 = 0.30V2

V2 = 0.87 L, this will be the new volume

What did you include in your question? Check all that apply. examines the effect of mass examines the effect of different materials contains at least two variables

Answers

The sample response is : how do mass and the type of material affect thermal energy transfer?

So one need to have include the below factors in your answer:

Examines the effect of mass Examines the effect of different materialsContains at least two variables

What is the thermal energy transfer?

The mass of an object influences allure thermal strength transfer traits. Generally, objects accompanying best public have greater warm strength depository volume.

They can absorb more heat strength before experience a meaningful change in hotness. If an equal amount of heat is used to both objects, the object accompanying better mass will demand more heat strength to raise allure temperature distinguished to the object accompanying tinier mass .

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. In this experiment, you need to examine the idea of the thermal energy transfer. Using a controlled experiment, what might a good question about the variables that affect thermal energy transfer be? Thermal energy transfer depends on many properties, be limit your question to only two. What did you include in your question?

What did you include in your question? Check all that apply. examines the effect of mass examines the

Which of these formulas contain 2 nitrogen atoms?
1. Co(NO3)₂
II. (NH4)₂CO3
III. (NH4)3PO4
IV. AI(NO3)3
V. NH₂NO3
Select THREE correct answers.

Answers

Answer: I, II, V

Explanation:

what is the iupac name of the following compound 4 tert butyl 3 chlorophenol 4 tert butyl 5 chlorophenol

Answers

the IUPAC name of  4 tert butyl 3 chlorophenol will be given as

3-chloro-4-(1,1-dimethylethyl)phenol.

And the structure for the compound can be given as shown in figure.

IUPAC (International Union of Pure and Applied Chemistry), serves the international scientific endeavor in the dual function of a fundamental science and mission-oriented Union.

Naming according to IUPAC is based on naming a molecule's longest chain of carbons connected via single bonds forming alkane, whether in a continuous chain or in a ring.

All other deviations, either multiple bonds or atoms other than carbon and hydrogen, are indicated by prefixes or suffixes according to a specific set of priorities.

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what is the iupac name of the following compound 4 tert butyl 3 chlorophenol 4 tert butyl 5 chlorophenol

Calculate the volume occupied by 1.68 g of He gas at STP.

Answers

Answer:

Explanation:

It can be written as: V = nRT/P. "P" is pressure, "V" is volume, n is the number of moles of a gas, "R" is the molar gas constant and "T" is temperature. Record the molar gas constant "R". R = 8.314472 J/mole x K.


A researcher is studying gold complexes. She makes
a 125 mL solution of gold(III) chloride by dissolving
0.144 moles of the solute into water. Which of the
following would cause the concentration of the
solution to increase?
Additional gold(III) chloride is added to the
beaker.
Part of the solution is poured into the chemical
waste.
O Water is added to the beaker.
We do not have enough information to answer
this question.

Answers

Additional gold(III) chloride is added to the beaker. This would cause the concentration of the solution to increase. Therefore, the correct option is option A.

Concentration in chemistry refers to the quantity of a material in a certain area. The ratio of the solute within a solution to the solvent or whole solution is another way to define concentration. In order to express concentration, mass / unit volume is typically used.

The solute concentration can, however, alternatively be stated in moles or volumetric units. Concentration may be expressed as per unit mass rather than volume. Although concentration is typically used to describe chemical solutions, it may be computed for any mixture. Additional gold(III) chloride is added to the beaker. This would cause the concentration of the solution to increase.

Therefore, the correct option is option A.

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Draw the most stable form of the organic products formed in the reaction of ethyl acetate and ethyl benzoate. Ethanol can be excluded from the answer.

Answers

Answer:

Please find the solution in the attached file.

Explanation:

Draw the most stable form of the organic products formed in the reaction of ethyl acetate and ethyl benzoate.

(f) Which structure represents the arrangement of atoms in pure copper? A B C D Tick one box. A B C D​

(f) Which structure represents the arrangement of atoms in pure copper? A B C D Tick one box. A B C D

Answers

Structure A represents the arrangement of atoms in pure copper because  copper is a solid and only made of one type of atom.

What is pure copper described as?

The chemical element copper has the atomic number 29 and the symbol Cu. Copper, a transition metal, is a solid at ambient temperature.

Pure copper has a low hardness, is exceedingly ductile, and is malleable. For electrical applications, a number of reasonably pure Cu grades are produced, with small variances in deoxidation.

Solid copper is defined as a face-centered-cubic (fcc) arrangement of copper atoms.

Thus, structure A correctly represents the arrangement of atoms in pure copper.

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A rigid, 28-L steam cooker is arranged with a pressure relief valve set to release vapor and maintain the pressure once the pressure inside the cooker reaches 150 kPa. Initially, this cooker is filled with water at 175 kPa with a quality of 10 percent. Heat is now added until the quality inside the cooker is 40 percent. The water is stirred at the same time that it is being heated. Determine the minimum entropy change of the heat-supplying source if 100 kJ of work is done on the water as it is being heated. Use steam tables.

Answers

Answer:

\(\Delta S_{source}>-1.204\frac{kJ}{K}\)

Explanation:

Hello!

In this case, given the initial conditions, we first use the 10-% quality to compute the initial entropy:

\(s_1=s_{f,175kPa}+q*s_{fg,175kPa}\\\\s_1=1.4850\frac{kJ}{kg*K} +0.1*5.6865\frac{kJ}{kg*K}=2.0537\frac{kJ}{kg*K}\)

Now the entropy at the final state given the new 40-% quality:

\(s_2=s_{f,150kPa}+q*s_{fg,150kPa}\\\\s_2=1.4337\frac{kJ}{kg*K} +0.4*5.7894\frac{kJ}{kg*K}=3.7495\frac{kJ}{kg*K}\)

Next step is to compute the mass of steam given the specific volume of steam at 175 kPa and the 10% quality:

\(m_1=\frac{0.028m^3}{(0.001057+0.1*1.002643)\frac{m^3}{kg} } =0.274kg\\\\m_2=\frac{0.028m^3}{(0.001053+0.4*1.158347)\frac{m^3}{kg} } =0.0603kg\)

Then, we can write the entropy balance:

\(\Delta S_{source}+\frac{Q}{T_1} -\frac{Q}{T_2} +s_2m_2-s_1m_1-s_{fg}(m_2-m_1)>0\)

Whereas sfg stands for the entropy of the leaving steam to hold the pressure at 150 kPa and must be greater than 0; thus we plug in:

Which is such minimum entropy change of the heat-supplying source.

Best regards!

1. Which of the following choices demonstrates the law of constant composition? (Slides 2 ‒ 3: Laws on Matter) (a) Nitrogen and oxygen are both found in nature as diatomic molecules. (b) When 20.0 g of nitrogen and 32.0 g of oxygen are combined and allowed to react in two separate experiments, both times the product isolated from reaction contains 14.0 g of nitrogen and 32.0 g of oxygen. (c) Nitrogen and oxygen gases are mixed to produce a sample consisting of 20.0 g of nitrogen and 32.0 g of oxygen. (d) When 14.0 g of nitrogen and 32.0 g of oxygen are mixed and react, there is no measurable change in mass during the reaction. (e) Nitrogen and oxygen are gases found in air, nitrogen is approximately 79% of air and oxygen is approximately 21%.

Answers

Answer:

(b) When 20.0 g of nitrogen and 32.0 g of oxygen are combined and allowed to react in two separate experiments, both times the product isolated from reaction contains 14.0 g of nitrogen and 32.0 g of oxygen.

Explanation:

The law of definite proportion states that a gen chemical compound always contains its constituent elements in a fixed ratio by mass, independent on the method of preparation.

The molar mass of Nitrogen and Oxygen would always remain the same, allowing for exact reactant masses (or mole ratio) irrespective of the given amount of sample.

When water moves from a liquid to a gas, it has evaporated?

Answers

yes it evaporated . evaporation is a gas.

The Sun has been shining on this swimming pool all day. The water is much warmer than it was in the morning. Describe what is happening to the water in terms of temperature, particle speed, and kinetic energy.

Answers

Answer:

The waters' temp increased

Explanation:

The temperature of the water in the swimming pool has increased due to the heat from the Sun. As a result, the particles in the water are moving faster and have a higher kinetic energy than in the morning.

The following reaction is investigated: 2N2O(g) N2H4(g) <---> 3N2(g) 2H2O(g) Initially there are 0.100 mol of N2O and 0.25 mol of N2H4, in a 10.0-L container. If there are 0.059 mol of N2O at equilibrium, how many moles of N2 are present at equilibrium

Answers

Answer:

6.2 × 10^-2

Explanation:

Given the reaction:

------------2N2O(g) N2H4(g) <---> 3N2(g) 2H2O(g)

Initial: N2O = 0.1, N2H4 = 0.25-- 0 - - - - - 0

Then: N20 = -2x, N2H4= - x - - - +3x, +2x

Equ : 0.1 - 2x ; 0.25 - x ; +3x ; +2x

At equilibrium :

Add both:

N2O = 0.1 - 2x ;

N2H4 = 0.25 - x;

3N2 = 3x

2H2O = 2x

Moles of N2O at equilibrium = 0.059

Then;

0.1 - 2x = 0.059

-2x = 0.059 - 0.1

-2x = - 0.041

x = 0.041 / 2

x = 0.0205

Moles of N2 present at equilibrium ;

3N2 = 3x

3N2 = 3(0.0205)

= 0.0615

= 0.062 = 6.2 × 10^-2

Could someone in simple terms explain the definition of physical chemistry?

Answers

The branch of chemistry dealing with the physical changes associated with chemical reactions

Answer:

Physical chemistry is the part of chemistry that has to do with the physical structure of compounds, and how they react with other matters and bonds that hold atoms together.

Explanation:

Hope that helps.

How many moles of MgCl2 are present in 60.0 mL of 0.100 M MgCl2 solution

Answers

Taking into account the definition of molarity, the number of moles of MgCl₂ present in 60.0 mL of 0.100 M MgCl₂ solution is 0.006 moles.

Definition of molarity

Molarity is a measure of the concentration of a solute in a solution and indicates the number of moles of solute that are dissolved in a given volume.

The molarity of a solution is calculated by:

molarity= number of moles of solute÷ volume

Molarity is expressed in units moles/L.

Number of moles of MgCl₂

In this case, you have:

Molarity= 0.100 Mnumber of moles of MgCl₂= ?volume= 60 mL= 0.06 L (being 1000 mL= 2 L)

Replacing in the definition of molarity:

0.100 M=number of moles of MgCl₂÷ 0.06 L

Solving:

0.100 M × 0.06 L= number of moles of MgCl₂

0.006 moles= number of moles of MgCl₂

Finally, the number of moles of MgCl₂ is 0.006 moles.

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1. Billy Beaker is reacting 7.98 mL of 2.50 M HCl with excess NaOH. How many grams of water will be produced by this neutralization reaction?
2. Emily Erlenmeyer is reacting 2.43 mL of 2.50 M H2SO4 with 2.51 mL of 3.00 M NaOH. How many grams of water will be produced by this neutralization reaction?

Use molarity and stoichiometry

Answers

1. The amount of water produced by the reaction is 0.359 g.

2. The amount of water produced by the reaction is 0.219 g.

How do you calculate the number of moles neutralized in a titration?

To calculate the number of moles of acid neutralized by the tablet, subtract the number of moles of acid neutralized in the titration from the initial solution's moles of acid. Understand and explain standardization in the context of acidic and basic solutions used as reagents in experiments.

1. The neutralization reaction,

HCl (aq) + NaOH (aq) → NaCl (aq) + H2O (l)

we have to calculate the number of moles of HCl that react,

moles of HCl = volume of HCl x concentration of HCl

= 7.98 mL x 2.50 mol/L / 1000 mL/L

= 0.01995 mol

Since NaOH is in excess,

As a result, the amount of water produced will be equal to the amount of HCl that reacts:

moles of water = moles of HCl = 0.01995 mol

we can use the molar mass of water (18.015 g/mol)

mass of water = moles of water x molar mass of water

= 0.01995 mol x 18.015 g/mol

= 0.359 g

2. The neutralization reaction between H2SO4 and NaOH is:

H2SO4 (aq) + 2 NaOH (aq) → Na2SO4 (aq) + 2 H2O (l)

we have to calculate the number of moles of H2SO4 that react,

moles of H2SO4 = volume of H2SO4 x concentration of H2SO4

= 2.43 mL x 2.50 mol/L / 1000 mL/L

= 0.00608 mol

Now, we have to calculate the number of moles of NaOH that react:

moles of NaOH = volume of NaOH x concentration of NaOH

= 2.51 mL x 3.00 mol/L / 1000 mL/L

= 0.00753 mol

we need to use the stoichiometry of the balanced equation,

moles of water = moles of H2SO4 x (2 moles of water / 1 mole of H2SO4)

= 0.00608 mol x 2

= 0.01216 mol

we can use the molar mass of water (18.015 g/mol)

mass of water = moles of water x molar mass of water

= 0.01216 mol x 18.015 g/mol

= 0.219 g

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You got out to dinner and the bills comes to $44.79. How much should you tip if you want the tip to be 18.0% of the bill?

Answers

Answer:

7%

Explanation:

I'd you have $44.79 you put the decimal next to the first 4 so 10% would be $4 and 20% would be $8 so 18% will be like 7

What is the volume (in mL) of glacial acetic acid (17.4 M) that would have to be added to 500 mL of a solution of 0.20 M sodium acetate in order to achieve a pH of 5.0

Answers

Answer:

3.16mL of glacial acetic acid must be added

Explanation:

The mixture of acetic acid with sodium acetate produce a buffer. The buffer follows the H-H equation:

pH = pKa + log [A⁻] / [HA]

Where pH is the pH of the buffer: 5.0

pKa is pKa of the buffer = 4.74

[A⁻] could be taken as moles of acetate ion = 0.500L * (0.20mol/L) = 0.100mol

And [HA] are moles of acetic acid.

Replacing:

5.0 = 4.74 + log [0.100mol] / [HA]

0.26 = log [0.100mol] / [HA]

1.8197 = [0.100mol] / [HA]

[HA] = 0.100mol / 1.8197

[HA] = 0.05495 moles of acetic acid

As the glacial acetic acid is 17.4M, the volume we must add to prepare the buffer is:

0.05495 mol * (1L / 17.4mol) = 3.16x10⁻³L =

3.16mL of glacial acetic acid must be added

A sample of iron absorbs 67.5 J of heat, upon which the temperature of the sample
increases from 21.5 °C to 28.5 °C. If the specific heat of iron is 0.450 J/g OC, what is
the mass (in grams) of the sample?

Answers

Explanation:

Observe the units of all of the prameters to solve this problem

m  *  (28.5-21.5)C  * .450 J/(gC)  = 67.5 J

m * 7 * .450 = 67.5

m = 67.5/(7 * .450) = 21.4 grams

What is the Chemical formula for K and P

Answers

Answer:

Potassium phosphide (K3P)

Which of the following is the only genotype not able to taste PTC.
a. IT
b. Tt
c. tt

Answers

C.
Genotype have the non-taster phenotype

(2pts) During the Purification of Lactate Dehydrogenase (LDH) experiment, you will need 50ml of buffer A150. Buffer A150 is 30mM Tris (pH 8.8) and 150mM NaCl. Given 1L of 1.5M Tris and 500ml of 5M NaCl, how much of each stock do you need to make 250ml of the A150 buffer

Answers

Answer:

The answer is "\(20 \ mL\)"

Explanation:

Given:

Molarity= number of moles

because it is 1 Liter

\(\to \frac{0.03\ moles}{1.5 moles}=0.02\ L= 20 \ mL \ of\ Tris\\\\\)

therefore,

it takes 20 mL of Tris.

\(\to \frac{0.150 \ moles}{5\ moles} =0.03\ L\\\\\)

                     \(= 30 \ mL \ of\ Nacl\)

So, take \(20 \ mL\ of\ NaCl.\)

what is the most basic level of organization that can perform functions like converting food into energy

Answers

Answer: Cells

Explanation:

How many significant figures are in the following number? 3,000.0 x 10⁴ grams

Answers

Answer:

5 significant figures.

Explanation:

The decimal place makes the zeros significant.

The diagram below shows a wave with a distance of 6 meters between points A and B. What is the wavelength of this wave?

Answers

Answer:

The wavelength of the wave in the diagram is 6 meters. This can be calculated by measuring the distance between points A and B and dividing it by the number of waves. In this case, there is one wave, so the wavelength is equal to the distance between points A and B, which is 6 meters.

The "alum" used in cooking is potassium aluminum sulfate hydrate, KAl(SO4)2·x H2O. To find the value of x, you can heat a sample of the compound to drive off all of the water and leave only KAl(SO4)2. Assume you heat 4.74 g of the hydrated compound and that the sample loses 2.16 g of water. What is the value of x?

Answers

The "alum" used in cooking is potassium aluminum sulfate hydrate, KAl(SO4)2·x H2O and the value of x calculated is 12.

What is meant by alum?

Alum is a type of chemical compound, usually hydrated double sulfate salt of aluminum having general formula X Al ₂·12 H ₂O, where X is  monovalent cation such as potassium or ammonium.

Given mass of KAl(SO₄)₂.XH₂O = 4.74 g

and mass of water = 2.16 g

So, mass of KAl(SO₄)₂ = 4.74 – 2.16 = 2.58 g

Molar mass of KAl(SO₄)₂ ;

= 39 + 27 + 2[32 + (4×26)]

Now, molar mass of KAl(SO₄)₂ = 258 g/mol

Molar mass of H₂O ;

= (2×1) + 16

Now, molar mass of H₂O = 18 g/mol

Hence, KAl(SO₄)₂ = 2.58 / 258 = 0.01

and H₂O = 2.16 / 18 = 0.12

KAl(SO₄)₂ = 0.01 / 0.01 = 1

H₂O = 0.12 / 0.01 = 12

The formula of the compound is obtained as KAl(SO₄)₂.12H₂O

Comparing KAl(SO₄)₂.12H₂O with KAl(SO₄)₂.XH₂O,  value of X is 12.

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what are 2 ways that all hydrocarbons are alike?

Answers

Answer:

Composition: All hydrocarbons are made up of only two types of atoms: carbon and hydrogen. They are like building blocks that contain carbon and hydrogen stuck together.

Organic Nature: Hydrocarbons are special because they are part of a group of compounds that come from living things or things that were once alive. They have carbon and hydrogen in them, which is what makes them different from other types of compounds.

Explanation:

Which equation shows an increase in entropy?
Hint: Look at the states of matter, g s l, of the chemicals in each equation. A C2H4(g) + H2(g) + C2H6(g) в Caco3(9) + Cao(s) - CO2(g) c Fe(s) + S (s) -+ FeS (s)

Which equation shows an increase in entropy?Hint: Look at the states of matter, g s l, of the chemicals

Answers

The equation C2H4(g) + H2(g) + C2H6(g) → Caco3(s) + Cao(s) + CO2(g) shows an increase in entropy due to the formation of a gas as a product. Option A

In this equation, the reactants on the left-hand side consist of gases (C2H4 and H2), while the products on the right-hand side include a solid (Caco3) and a gas (CO2).

When a reaction involves a change from gaseous to solid or liquid states, there is typically a decrease in entropy because the particles become more ordered and constrained in the solid or liquid phase.

Conversely, when a reaction involves the formation of gases, there is generally an increase in entropy because gases have higher degrees of molecular motion and greater freedom of movement compared to solids or liquids.

In the given equation, the reactants include three gaseous compounds (C2H4, H2, and C2H6), and one of the products is a gas (CO2). Therefore, the overall entropy of the system increases during this reaction.

The equation Fe(s) + S(s) → FeS(s) does not show an increase in entropy. Both the reactants (Fe and S) and the product (FeS) are solids. Since solids have lower entropy compared to gases or liquids, the entropy of the system does not increase in this reaction. Option A

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Assuming ideal solution behavior, what is the boiling point of a solution of 115.0 g of nonvolatile sucrose (table sugar), C₁₂H₂₂O₁₁ (342.300 g/mol), in 350.0 g of water (Kb = 0.512 °C m⁻¹; boiling point = 100.0 °C)?

a.)
100.00049 °C
b.)
99.5 °C
c.)
268.2 °C
d.)
100.5 °C

Answers

The boiling point of water is 100.0 °C, the boiling point of the solution will be : 101.49 °C.The correct answer is option (a) 100.00049 °C.

Ideal Solution : An ideal solution is a homogeneous mixture of two or more components that obeys Raoult's law, which states that each component's vapor pressure is proportional to its mole fraction.The boiling point of a solution depends on the solvent's properties and the solute's concentration. It's dependent on the mole fraction of the solvent and solute, as well as the total concentration of the solution. The change in boiling point of a solution is given byΔTb = Kb × m × i, whereKb = ebullioscopic constant, m molarity of the solution, and i = van't Hoff factor.Assuming that the solution's behavior is ideal, we may use the molality of the solution to compute the boiling point elevation of the solution.The molality of the solution is given by the following formula:m = (n₂ / m₂) ÷ (n₁ / m₁), where n is the number of moles, m is the mass, and the subscripts 1 and 2 refer to water and non-volatile solute sucrose, respectively.The molar mass of sucrose (C₁₂H₂₂O₁₁) is342.3 g/mol; therefore, the number of moles of sucrose is115.0 g ÷ 342.3 g/mol = 0.335 mol.m₁ = mass of water = 350.0 g, and m₂ = mass of sucrose = 115.0 g, as given in the problem.Therefore, the molality of the solution is given by:m = (0.335 mol / 0.115 kg) ÷ (1 mol / 1 kg) = 2.91 mol/kg.Substituting these values in the formula for ΔTb, we get:ΔTb = Kb × m = 0.512 °C m⁻¹ × 2.91 mol/kg = 1.49 °C.100.0 °C + 1.49 °C = 101.49 °C.

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A gas has a volume of 0.50 L, a pressure of 0.5 atm, and a temperature of 40°C. What will be the new temperature if the gas is expanded to 5.0 L and a pressure of 0.10 atm?

Answers

Answer:

4.90

Explanation:

10- 5.0

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Can you figure out the question by reading the answer? Write thequestion that triggered each of these responses.Si tengohambreSi tengomiedoSi tengosed Cul es la importancia de la diversidad Gentica? Brett wants to join the football team next yelr. He has heard that taking supplements might help him build muscleand body mass, which might improve his chances of making the team. Brett wants to decide if he will takesupplements or not.What should Brett do next?O identify and define the decisionO find reliable sources for various optionsO identify and evaluate the consequencesO assess the outcome of his decisionok Differentiate implicitly to find dy/dx. Then find the slope of the curve at the given point. y^2 - x^3 = 28; (2, - 6) The slope of the graph at the given point is. (Type an integer or a simplified fraction.) Macro photographs are what type of photographs?Close-upTelephotoAbstractAll of the above based on the ocean food web, which describes the most likely effect on the producer productivity if more coral moved into the ocean system? what scientific, practical, and ethical considerations might lead someone to lengthen or shorten a baseline? Do you know of any important public buildings that house civic or political institutions today and how do these building reflect or contribute to today's society? Please answer the question. 92. What value of x makes the equation3113=true? How does the Fourth Amendment help protect citizens of the United States? It provides citizens with the right to a speedy and public trial before a jury of their peers. It prohibits the government from interrogating citizens with torture or imposing cruel punishments. It allows citizens to share communications in public places without the threat of arrest. How did different communities respond differently toNapoleon in art? Which of the following groups was put into Nazi concentration camps?A. scientistsB. doctorsC. mentally illD. soldiers Christina is visiting her family for holidays. One evening after dinner, her mother comes into her room, where Christina is typing at her computer. Her mother sits down, and the following conversation takes place.MOM: Am I disturbing you?CHRIS: No, Im just signing off on email.MOM: Emailing someone?CHRIS: Just a guy.MOM: Someone youve been seeing at school?CHRIS: Not exactly.MOM: (Laughs) Well, either you are seeing him or youre not, honey. Are you two dating?CHRIS: Yeah, you could say were dating.MOM: (Laughs) Whats he like?CHRIS: Hes funny and smart and easy to talk to. Were interested in the same things, and we share so many values. Brandons just super. Ive never met anyone like him.MOM: When do I get to meet him?CHRIS: Well, not until I do. (Laughs) We met online, and were just starting to talk about getting together in person.MOM: Online? You act as if you know him!CHRIS: I do know him, Mom. Weve talked a lotweve told each other lots of stuff.MOM: How do you know what hes told you is true? For all you know, hes a 50-year-old mass murderer!CHRIS: Youve been watching too many movies on Lifetime, Mom. Brandons 23, hes in college, and he comes from a family like ours.MOM: How do you know that? He could be lying.CHRIS: So? A guy I meet at school could lie, too.MOM: Havent you read about all the weirdos that go to these online matching websites?CHRIS: Mom, Brandons not a weirdo, and we didnt meet in a matching website. We met in a chat room where people talk about politics.MOM: Chris, you cant be serious about someone you havent met.CHRIS: I have met him, Mom, just not face to face. I know him better than lots of guys Ive dated for months.MOM: This makes me really nervous, honey. Please dont meet him by yourself.CHRIS: Mom, youre making me feel sorry I told you how we met. This is why I didnt tell you about him before. Nothing I say is going to change your mind about dating online.MOM: (Pauses) Youre right. Im not giving himor youa chance. Lets start over. Tell me what you like about him.CHRIS: Well, hes thoughtful.MOM: Thoughtful? How so?CHRIS: If I say something one day, hell come back to it a day or so later, and I can tell hes thought about it, like hes really interested in what I say.MOM: So he really pays attention to what you say?CHRIS: Exactly. So many guys Ive dated dont. They never return to things Ive said. And when I come back to things hes said with ideas Ive thought about, he really listens.MOM: Like he values what you think and say?CHRIS: Exactly! Thats whats so special about him.1. How do the mass media platforms Chris uses differ from the types of mass media her mother consumes?2. What do you perceive as the key obstacle to listening for Chris's mom during the early part of the conversation?3. According to Cultivation Theory viewers assume that what they see on television, in films, or in the news, is real even if those stories do not accurately represent reality. Using Cultivation Theory describe how television has influenced Chriss mothers thinking.4. If Chris met Brandon in a political chat room and she interacts with him using email. What evidence does she have that Brandon is really who he says he is? Are her mothers concerns valid, or is she overreacting? builtrite had net profits after tax of $500,000. builtrite also paid a common stock dividend of $90,000 and a preferred stock dividend of $40,000. what are the eacs (earnings available to the common stockholder)?