The turnover number is defined as the maximum number of substrate molecules that can be converted into product molecules per unit time by an enzyme molecule. The concentration of enzyme active sites is not necessarily equal to the concentration of enzyme molecules, because some enzyme molecules have more than one active site. If the enzyme molecule has one active site, the turnover number is given by turnover number=Rmax[E]t=k2(Rmax is often written as Vmax) If the enzyme molecule has more than one active site, then [E]t is multiplied by the number of active sites to determine its effective concentration. Determine the value of the turnover number of the enzyme carbonic anhydrase, given that Rmax for carbonic anhydrase equals 249 μmol⋅L−1⋅s−1 and [E]t=2.20 nmol⋅L−1 . Carbonic anhydrase has a single active site.

Answers

Answer 1

Answer:

Turnover number = 113182s⁻¹

Explanation:

Turnover number is a concept used to know the activity of an enzyme. The higher turnover number, the higher activity of the enzime.

Turnover number is defined as:

Turnover number = Rmax / [E]t

As Rmax is  249 μmol⋅L⁻¹⋅s⁻¹ and [E]t is 2.20 nmol⋅L⁻¹

As 1μmol = 1000nmol, Rmax = 249000 nmol⋅L⁻¹⋅s⁻¹. Replacing:

Turnover number = 249000 nmol⋅L⁻¹⋅s⁻¹ / 2.20 nmol⋅L⁻¹

Turnover number = 113182s⁻¹

Related Questions

What is an alloy? Explain the differences in structure between substitutional and interstitial alloys. Give an example of each type.

Answers

An alloy is the mixture of different metals and the elements. The difference is the substitutional atoms has nearly the same sized metal atoms while interstitial  contain both the large and the small sized atoms of the different elements. The example of substitutional brass and interstitial alloys is carbon.

An alloy is the mixture of different metals and the elements. It has the several metallic properties and it can be classified as the substitutional alloy and the interstitial alloy.

The difference in between the substitutional and the the interstitial alloys are that substitutional atoms which contains nearly the same sized metal atoms while the interstitial alloys contain the both large and the small sized atoms of the different elements. The examples of substitutional alloys are brass, pewter, etc. and  interstitial alloys are, carbon, steels etc.

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The energy released when a nucleus forms is calledQuestion 26 options: enthalpy. atomic mass. a becquerel. binding energy.

Answers

The correct answer in this case is binding energy, which is the energy released when a collection of nucleons form a nucleus.

The correct answer is the last choice.

Explain what method you would use to obtain
Petrol (boiling point 20
60 C) from a mature of petrol and kerosene (boiling point 180 220 C)​

Answers

Answer:

Fractional distillation of crude oil in laboratory

Explanation:

In general, we can sort them according to their boiling point.

We should first place a ball of mineral wool soaked with petroleum into a boiling tube and heat it with a Bunsen flame. At the beginning of the experiment, heat the mineral with a gentle flame, and then more strongly later. The fraction with a lower boiling range will distil out first. Since petrol is quite volatile, it should be condensed by cooling with water or an ice-water bath.

Petrol will be collected first, as it has a lower boiling point than kerosene. It will turn into vapour and condense again in the receive tub in the beaker.

How much potassium chloride is needed to make 0.500 m solution with 1.50 L of water?

Answers

Answer:

55.9 g KCl.

Explanation:

Hello there!

In this case, according to the definition of molality for the 0.500-molar solution, we need to divide the moles of solute (potassium chloride) over the kilograms of solvent as shown below:

\(m=\frac{mol}{kilograms}\)

Thus, solving for the moles of solute, we obtain:

\(mol=m*kilograms\)

Since the density of water is 1 kg/L, we obtain the following moles:

\(mol=0.500mol/kg*1.50kg\\\\mol=0.75mol\)

Next, since the molar mass of KCl is 74.5513 g/mol, the mass would be:

\(0.75mol*\frac{74.5513g}{1mol}\\\\55.9g \ KCl\)

Regards!

Help plzzz I don’t get to

Help plzzz I dont get to

Answers

I think the answer is the last one but not sure

Trend of atomic number and atomic size of the elements when we move from left to right in different periods of periodic table​

Answers

Answer:

The atomic size decreases with an increase in atomic number when we move from left to right.

Explanation: Hope it helps you:))))))

                      Have a great day.

The main assumptions of the Kinetic Molecular Theory of gases are:

1. Gases are made up of molecules which are relatively far apart.
2. The molecules are in motion at high speeds.
3. The molecules are perfectly elastic.
4. Increase in temperature increases the kinetic energy of the molecules.

The assumption that accounts for the great compressibility of gases compared to liquids and solids is:

1
2
3
4
none

Answers

The assumption that accounts for the great compressibility of gases compared to liquids and solids is assumption 1: Gases are made up of molecules which are relatively far apart. Option A)

The assumption that accounts for the great compressibility of gases compared to liquids and solids is assumption 1: Gases are made up of molecules which are relatively far apart.

In gases, the molecules are widely spaced and have significant gaps between them. This allows gases to be easily compressed under pressure. When external pressure is applied to a gas, the molecules can be brought closer together, reducing the volume occupied by the gas. The gaps between the molecules provide room for compression, allowing gases to occupy a smaller volume.

In contrast, liquids and solids have molecules or particles that are closely packed together. The intermolecular forces in liquids and solids are stronger, limiting their compressibility. The molecules or particles are already in close proximity, leaving little room for further compression.

Therefore, the assumption that gases consist of molecules that are relatively far apart accounts for their greater compressibility compared to liquids and solids. Hence Option A) is correct.

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please help!!!! chemistry question

please help!!!! chemistry question

Answers

Answer:

protons-50

Neutrons-75

protons are 50, neutrons are 75

Phosphoric acid is a polyprotic acid, with p K values of 2.14, 6.86, and 12.38. Which ionic form predominates at pH 9.3

Answers

Answer:

HPO₄⁻² predominates at pH 9.3

Explanation:

These are the equilibriums of the phosphoric acid, a tryprotic acid where 3 protons (H⁺) are realesed.

H₃PO₄ + H₂O   ⇄   H₂PO₄⁻   +   H₃O⁺   pKa 2.14

H₂PO₄⁻  +  H₂O   ⇄   HPO₄⁻²  +  H₃O⁺  pKa 6.86

HPO₄⁻²  +  H₂O   ⇄   PO₄⁻³   +   H₃O⁺  pKa 12.38

The H₂PO₄⁻  works as amphoterous, it can be a base and acid, according to these equilibriums.

H₂PO₄⁻ +  H₂O   ⇄   HPO₄⁻²  +  H₃O⁺

H₂PO₄⁻ +  H₂O   ⇄   H₃PO₄  +  OH⁻

pH 9.3 is located between 6.86 and 12.38 where we have this buffer system HPO₄⁻² / PO₄⁻³, where the HPO₄⁻² is another amphoterous:

HPO₄⁻ +  H₂O   ⇄   H₂PO₄⁻  +  OH⁻

HPO₄⁻²  +  H₂O   ⇄   PO₄⁻³   +   H₃O⁺

The media from the two pKa, indicates the pH where the protonated form is in the same quantity as the unpronated form, so:

(6.86 + 12.38) /2 =  9.62

Above this pH, [PO₄⁻³] > [HPO₄⁻²].

In conclussion, at pH 9.3, [HPO₄⁻²] > [PO₄⁻³]

PLEASE HELPPPP!!!!!!!!!!!!

PLEASE HELPPPP!!!!!!!!!!!!

Answers

Answer:

Largest: Mg

Smallest: Cl

Explanation:

5. What measures how stressful exercise is on your body?
O A. Frequency
O B. Duration
O C. Volume
D. Intensity

Answers

Answer: D. Intensity

Explanation: Intensity is correct, because if you originally were working on a treadmill with a speed of 8, that is how much intensity your putting your body on. And if you put the speed for a treadmill at 11 to increase your exercise, you are increasing the speed you have to run, making it more intense. The more intense you make your workout or training, the more stressful exercise you are doing.

Hope this helps,

:)


How have humans adapted to survive in changing environment?

Helppp

Answers

Answer: The human body readily responds to changing environmental stresses in a variety of biological and cultural ways. We can acclimatize to a wide range of temperature and humidity. ... This ability to rapidly adapt to varying environmental conditions has made it possible for us to survive in most regions of the world.

Explanation:

Chris drew a diagram to compare the ways in which
different organisms obtain nitrogen.
Which label belongs in the area marked X?
O breathe in from atmosphere
O produce themselves
O eat other organisms
Consumers
Producers
absorb from soil

Answers

Answer:

Eat other organisms

Explanation:

The label that belongs in the area marked X is: Producers absorb from soil.

What are Producers?

Producers refer to the autotrophs that make their own food. They derive the nutrients that make photosynthesis possible from the sun and soil. Water and nutrients are absorbed from their roots.

So, in the space marked X, we can see an autotroph tapping nutrients from the soil.

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plz someone help me i dont get this and i need to finish this

plz someone help me i dont get this and i need to finish this

Answers

Answer:

The height of A is 900

Explanation: Beside A, there is a number which explains what the height is so the answer is A.


A chemist adds 390.0 mL of a 1.5M aluminum chloride (AICI3) solution to a reaction flask. Calculate the mass in grams of aluminum
chloride the chemist has added to the flask. Be sure your answer has the correct number of significant digits.

Answers

Answer:

Calculate the mass in grams.

Answer: Calculate the mass in grams of calcium bromide the chemist has added to the flask. Round your answer to 3 significant digits.

Explanation:

Stamples of heterogeneous equilibria. FeO(s) + CO(g) = Fe(s) + CO₂(g) II. H₂(g) L₂(g) = 2HI(g) III. CO₂(g) + C(s) = 2CO(g) IV. N₂(g) 3H₂(g) + 2NH3(g) Identify I.​

Answers

An example of heterogeneous equilibrium is:

I. FeO(s) + CO(g) ⇌ Fe(s) + CO₂(g)

What is heterogeneous equilibrium?

Heterogeneous equilibrium refers to an equilibrium state in a chemical reaction where the reactants and products exist in different physical states or phases. It occurs when substances in different phases, such as solids, liquids, and gases, are involved in a chemical reaction.

Considering the given equations:

The equation I: FeO(s) + CO(g) ⇌ Fe(s) + CO₂(g) represents a heterogeneous equilibrium.

This is because the reactants and products involve different phases (solid and gas). FeO is a solid (s), CO is a gas (g), Fe is a solid (s), and CO₂ is a gas (g). The reaction involves the conversion of a solid and a gas to another solid and a gas, and the equilibrium is established between these different phases.

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What mass of NaCl is needed to produce a 26.4 mol/L with a 1.7 L volume?

Answers

we would need 2625.13 grams (or 2.62513 kilograms) of NaCl.

To calculate the mass of NaCl required to produce a 26.4 mol/L solution with a 1.7 L volume, we need to use the formula that relates the mass of solute, moles of solute, and molarity:Molarity (M) = moles of solute / liters of solution Rearranging this formula, we get:moles of solute = Molarity (M) x liters of solutionWe can use this formula to find the moles of NaCl needed:moles of NaCl = 26.4 mol/L x 1.7 L = 44.88 molNow, we can use the molar mass of NaCl to convert from moles to grams. The molar mass of NaCl is 58.44 g/mol:mass of NaCl = moles of NaCl x molar mass of NaClmass of NaCl = 44.88 mol x 58.44 g/mol = 2625.13 gTo produce a 26.4 mol/L solution with a 1.7 L volume.

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How many moles are in 68.16 grams of NH3 ?

Answers

Answer:

4.002 mol is in 68.16 grams of NH3

Enthalpy Lab + Questions NEED HELP ASAP FOR THE ANALYSIS QUESTIONS (be sure to show your work) + CONCLUSION

PURPOSE OF EXPERIMENT: To find Heat of Solution of sodium hydroxide and to find the heat of neutralization between sodium hydroxide and hydrochloric acid.

Experiment 1 Procedure:
1. Measure 50.0 mL of water (tap) into a 100 mL graduated cylinder and pour it into a large coffee cup.
2. Determine the temperature of this water
3. Measure out 2.00 g of sodium hydroxide into a piece of paper towel *tare scale!
4. Add the sodium hydroxide to the water in the coffee cup and put a small cup over it, with the thermometer through the hole. Stir GENTLY with the thermometer and record the temperature every 30 seconds for 3 minutes or until it peaks. Record this in a properly labelled table.
5. Let this stand for 45 minutes before proceeding to Exp. 2.

WHAT WE FOUND IN EXP 1:
T (temp.) initial = 20 degrees C
T (temp) FINAL = 28.5 degrees C
moles of sodium hydroxide = 0.0518mol
the molar mass of sodium hydroxide = 39.969g/mol
C (specific heat of water) = 4.184J/g degrees C

THE NUMBER OF TRIALS FOR TEMP IN EXP 1
1st trial = 21 C
2nd trial = 24.5 C
3rd trial = 26 C
4th trial = 26 C
5th trial = 28 C
6th trial = 28.5 C
7th trial = 28.5 C (final temp)

ANALYSIS FOR EXPERIMENT ONE:
1. Determine the moles of sodium hydroxide (NaOH) from the experiment.
2. Determine Qsurroundings and Qrxn
3. Determine the enthalpy for the dissociation of sodium hydroxide (delta H sol)
4. Write the thermochemical equation for the dissociation of sodium hydroxide TWO ways and write an enthalpy diagram
5. What assumptions did you make to calculate #2? (some example assumptions to make: assume that the solution is water and that heat and density COULD be the same as water, etc)
6. Research the actual value and determine the percent error
7. In terms of bonds breaking and forming, what is RESPONSIBLE FOR ENTHALPY CHANGE?

EXPERIMENT 2 PROCEDURE:
1. Measure out 50.0 mL of 0.75 concentration M HCl into a graduated cylinder
2. Measure and record the temperature of the sodium hydroxide solution from exp. 1.
3. Add the hydrochloric acid solution to the sodium hydroxide solution, put the small cup on, and record the temperature change every 15 seconds for 1 minute. Stir GENTLY. Record this in a properly labelled table (will be given below)
4. Solutions can be discarded down the sink.

WHAT WE FOUND IN EXP. 2:
T (temp) initial = 23.5 C
T (temp) FINAL = 27 C

THE NUMBER OF TRIALS FOR TEMP IN EXP 2
1st trial = 27 C
2nd trial = 27 C
3rd trial = 27 C
4th trial = 27 C (FINAL TEMP)

ANALYSIS FOR EXPERIMENT 2:
1. Determine the moles of HCl added to this mixture
2. Write the chemical equation for this reaction
3. Determine the limiting reagent
4. Determine the Qsurr and Qrxn *CONVERT TO kJ*
5. Determine the enthalpy for the neutralization reaction.
6. Write the thermochemical equation for the dissociation of sodium hydroxide TWO WAYS and write an enthalpy diagram
7. Research the actual value and determine the percent error.
8 Explain sources of experimental error for both experiments and BE SPECIFIC! (NOT CALCULATION ERRORS, SPILLING, OR LOSING REACTANTS - DO NOT COUNT AS ERRORS! They can be EXPERIMENTAL due to heat loss/gain, room temp *specific heat capacity is for 25 C*, and atmospheric pressure is constant. And they can be MEASUREMENTS - consider the precision and the potential range of error for each measurement)
9. In terms of bonds breaking and forming, what's responsible for the enthalpy change?

CONCLUSION: write a brief statement that refers to the purpose.

Answers

The difference between the energy needed to break the bonds in the reactants and the energy released when new bonds are created in the products is what essentially determines the enthalpy change.

What impact does bond breaking have on enthalpy?

In general, a bond must be broken by a positive change in enthalpy, whereas a bond must be formed by a negative change in enthalpy. In other words, the process of breaking a bond is endothermic, whereas the process of forming a bond is exothermic.

What is the bond-breaking and bond-forming reaction's enthalpy change?

The energy needed to break the links between the reactants less the energy released during the formation of new bonds in the products is the enthalpy of reaction.

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In terms of bonds breaking and forming, what's responsible for the enthalpy change?

What is the only entirely liquid layer of the earth

Answers

Answer:

i am pretty sure that it is the inter core

???????????????????????

???????????????????????

Answers

Answer:

c or b

Explanation:

brainiest

Identify the following for an atom with 8 protons, 8 electrons, and 7 neutrons.
a. Atomic number:
b. Mass number:
c. Nuclear Notation:
d. Hyphen Notation:

please help

Answers

Answer:

i thinks its a. but iam not sure

Guysss how to explain nuclear chemistry? And define nuclear chemistry ?

Answers

Answer:

How do amoeba respire.

Define Diffusion.

Determine if the given statements are true or false.

Distribution brings electricity
directly to your home
Transmission brings electricity
directly to your home.
The goal of investor-owned
utilities is to provide a return
on investment for their
shareholders.
Regional transmission
organizations can prefer
one energy source over
another.
Power for most of the country,
based on land mass, is from
public power systems.
Generation is the production
the production of power from
different energy sources.

Answers

The first statement is false.

The second statement is also false. The goal of investor-owned utilities is to provide a return on investment for their shareholders.

Regional transmission organizations can indeed prefer one energy source over another, making the third statement true.

The fourth statement is unclear. Power sources can vary across regions, and it depends on specific locations and their energy infrastructure.

The fifth statement is true. Generation refers to the production of power from different energy sources, such as coal, natural gas, nuclear, wind, solar, hydro, and others.

The first statement is false. Distribution brings electricity directly to your home, while transmission is responsible for transporting electricity over long distances from power plants to distribution substations.

The second statement is also false. The goal of investor-owned utilities is to provide a return on investment for their shareholders. However, distribution, not transmission, is responsible for bringing electricity directly to homes.

Transmission focuses on high-voltage power lines that transport electricity across long distances, while distribution operates at lower voltages to deliver electricity to individual consumers.

Regional transmission organizations can indeed prefer one energy source over another, making the third statement true. These organizations play a role in managing and coordinating the transmission of electricity within specific regions.

While they prioritize maintaining a reliable and stable power grid, they may also have preferences or policies regarding the use of certain energy sources, such as renewable energy, to align with environmental goals or regulatory requirements.

The fourth statement is unclear. Power sources can vary across regions, and it depends on specific locations and their energy infrastructure. However, public power systems, which are owned and operated by government entities, do provide electricity to a significant portion of the country, including municipalities and rural areas.

The fifth statement is true. Generation refers to the production of power from different energy sources, such as coal, natural gas, nuclear, wind, solar, hydro, and others.

Power plants generate electricity by converting these energy sources into electrical energy, which is then transmitted and distributed to end consumers through the power grid.

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4. Calculate the final volume of a gas if it's initial pressure is 118 kPa and original volume is 17 Liters, and the final pressure is recorded as 265 kPa.​

Answers

Answer:

7.57 L

Explanation:

The new volume can be found by using the formula

\(V_2 = \frac{P_1V_1}{P_2} \\\)

where

P1 is the initial pressure

P2 is the final pressure

V1 is the initial volume

V2 is the final volume

From the question we have

\(V_2 = \frac{118 \times 17}{265} \\ = 7.569811\)

We have the final answer as

7.57 L

Hope this helps you

What is the final temperature (in °C) of 690.1 g of water

Answers

Answer:

32C Is the water hot or cold?

Explanation:

The final temperature of 690.1 g of water is 20.024°C.

To find the final temperature of 690.1 g of water, we need to know the initial temperature and the amount of heat added to the water. Water has a specific heat capacity of 4.184 J/g°C.

Here is an example calculation:

Let's say the initial temperature of the water is 20°C and we add 100 J of heat. To find the final temperature, we can use the equation:

q = mcΔT

where q is the heat added, m is the mass of the water (690.1 g), c is the specific heat capacity of water (4.184 J/g°C), and ΔT is the change in temperature.

Solving for ΔT:

ΔT = q / (mc)

ΔT = (100 J) / (690.1 g × 4.184 J/g°C)

ΔT = 0.024°C

We multiply the original temperature by the temperature change to obtain the final temperature:

final temperature = initial temperature + ΔT

final temperature = 20°C + 0.024°C

final temperature = 20.024°C

So the final temperature of 690.1 g of water is 20.024°C.

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I'm not that smart :)

When a child slides down a slide (if there is no friction and all of the mechanical energy is conserved) what would happen?

Question 3 options:

A. Potential energy would turn to Kinetic energy



B. The energy is destroyed


C. Kinetic energy would turn in to Potential energy


D. All energy stays the same

Answers

the answer is C: Kinetic energy would turn into Potential energy.

Concentrated sufuric acid has a concentration of 18.4 M. 1 mL of concentrated sulfuric acid is added to 99 mL of a solution containing 0.505M*H_{2}*S and 0.505 M HS what is the resulting pH of that solution?

Answers

The resulting pH of the solution is 1.74(approx).

To solve this problem, we need to use the concept of acid-base equilibrium and the pH scale. The addition of sulfuric acid will increase the concentration of H+ ions in the solution, which will shift the equilibrium of the \(H_2S\)/HS- system. We can use the following equation to calculate the pH of the resulting solution:

Ka = [H+][HS-]/\(H_2S\)]

where Ka is the acid dissociation constant for \(H_2S\), [\(H_2S\)], [HS-], and [H+] are the concentrations of the \(H_2S\), HS-, and H+ ions, respectively.

First, we need to calculate the initial concentrations of\(H_2S\) and HS- in the solution:

[\(H_2S\)] = 0.505 M

[HS-] = 0.505 M

Next, we need to calculate the amount of H+ ions added to the solution by 1 mL of concentrated sulfuric acid. To do this, we can use the following equation:

[H+] = (n/V) = (18.4 mol/L) x (1x\(10^{-3}\) L) = 1.84 x\(10^{-2}\)mol

where n is the amount of sulfuric acid added in moles, V is the volume of the solution in liters, and 18.4 mol/L is the concentration of the sulfuric acid.

Now, we can calculate the new concentrations of \(H_2S\), HS-, and H+ ions in the solution:

[\(H_2S\)] = [\(H_2S\)]0 - [H+] = 0.505 - 1.84x\(10^{-2}\)= 0.486 M

[HS-] = [HS-]0 + [H+] = 0.505 + 1.84x\(10^{-2}\) = 0.524 M

[H+] = 1.84 x \(10^{-2}\)M

Finally, we can use the equation for Ka to calculate the pH of the resulting solution:

Ka = 1.1 x \(10^{-7}\)

[H+] x [HS-]/[\(H_2S\)] = Ka

pH = -log[H+]

Substituting the values, we get:

(1.84 x \(10^{-2}\)) x (0.524)/(0.486) = 1.98 x \(10^{-2}\)

pH = -log(1.98 x \(10^{-2}\)) = 1.74(approx)

Therefore, the resulting pH of the solution is 1.74(approx)

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Need help with this two part question

Need help with this two part question

Answers

The ideal gas law and stoichiometry must be used to calculate the volume of carbon dioxide gas produced by the breakdown of 4.09 g of calcium carbonate at STP (Standard Temperature and Pressure).

Use the molar mass of calcium carbonate (CaCO3) to determine how many moles it contains. CaCO3 has a molar mass of 100.09 g/mol.

CaCO3 mass divided by its molar mass equals the number of moles of CaCO3: 4.09 g/100.09 g/mol.

The number of moles of carbon dioxide (CO2) generated may be calculated using the stoichiometric ratio from the balancing equation. By using the equation:

A unit of CaCO3 and CO2 is produced.

CO2 moles equal the same number of moles of CaCO3.

Use the ideal gas law to translate the volume of carbon dioxide into moles.

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The partial pressures of gases A, B, and C in a mixture are
0.75 atmosphere, 0.25 atmosphere, and 1.25 atmospheres,
respectively. What is the total pressure of the gas mixture
in millimeters of Hg?
A. 1710 mm of Hg
B.
1140 mm of Hg
C. 760.0 mm of Hg
D. 570.0 mm of Hg

Answers

Answer:

A

Explanation:

.75 + .25 + 1.25 = 2.25 atm

1 atm is 760 mm hg

2.25 * 760 = 1710 mm HG

Answer:

\(\huge\boxed{\sf 2.25\ atm = 1710\ mm\ of\ Hg}\)

Explanation:

Partial pressure of gas A = 0.75 atm

Partial pressure of gas B = 0.25 atm

Partial pressure of gas C = 1.25 atm

Total partial pressure = 0.75 atm + 0.25 atm + 1.25 atm

= 2.25 atm

We know that:

1 atm = 760 mm of Hg

Multiply 2.25 to both sides

2.25 atm  = 760 × 2.25 mm of Hg

2.25 atm = 1710 mm of Hg

\(\rule[225]{225}{2}\)

Other Questions
A dataset includes the variable "Level of Education," measures participants highest educational attainment. Participants in the survey could answer the question by selecting only one of five possible educational levels provided: "Elementary", "High School", "College", "Graduate", "Post Graduate."What type of variable is "Level of Education"?Group of answer choicesa. Ordinal, Continuousb. Nominal, Discretec. Categorical, Nominald. Categorical, Ordinal 7. (22 points) Given the limit 1 - cos(9.) lim 140 x sin(5.c) (a) (14pts) Compute the limit using Taylor series where appropriate. (b) (8pts) Use L'Hopital's Rule to confirm part (a) is correct. . What is the midpoint of a line segment connecting the points (4,6) and (8,2)? An explorer starts their adventure. They begin at point X and bike 7 km south. Their tire pops, so they get off of their bike, and walk 7 km east, then 7 km north. Suddenly, they are back to point X. Assuming that our Earth is a perfect sphere, find all the points on its surface that meet this condition (your answer should be in the form of a mathematical expression). Your final answer should be in degrees-minutes-seconds. Hint: There are infinite number of points, and you'd be wise to start from "spe- cial" parts of the Earth. which European country originally settled Manhattan Island, today's New York City? Suppose you have a total of $2.25 in dimes andnickels. You have twice as many dimes, as nickels.Which system of equations could be used todetermine how many of each coin you have? Shifting FunctionsThe graphs below have the same shape. What is the equation of the bluegraph?f(x)=x5g(x) = ?W-55g(x) =10 Bicycling against the wind, you stop pedaling and your 84-kg combined-mass bicycle and you slow from 9.6 to 5 m/s. How much work in joules does the wind do on you and your bicycle? (Note: The answer should be negative since you slow down) A spinner with 9 equal sections is numbered 1 through 9. The probability of spinning a 3 is 1/9. What is the probability of not spinning a 3 is what Help please!! Ill give you all the points!! Find the equation of a line parallel to y = x-1 that contains the point (-3,-2). Write the equation in slope interceptform. plankton growth and cloud formation may be linked through the sulfur compound ______________ _____________. Two factory plants are making tv panels yesterday plant A produced 3000 panels. Ten percent of the panels from plant A were defective and Three percent from plant B were defective. How many panels did plant be produce if the overall percentage of defective panels from the two plants was 6%. Thanks for the help the oldest rocks on the ocean floors are about ________ years in age. What is the slope and y-intercept of this graph? 6. If more reactants are used in a chemical reaction, more products will be produced. This isbecause a) More reactants cause the reaction to heat upb) More reactants take up the same volumec) More reactants have more atoms to react to form more productsd) Too many products can slow down the reaction Paperclip floating on water - What water property is being shown What is the advantage of having health insurance available to all citizens, as it is in most developed nations, over having it accessible through private insurers and employment? A student weighs the final alum crystals when the filter paper still feels damp. Will this result in higher, lower, or have no effect on the percent yield of alum? Explain What is the solution to y + 8.5 = 17.2? Solve the equation 8 + dw = m for the variable w.