strontium-90 has a half-life of 29 years. given that you begin with a 12 mg sample, determine a model that represents the amount of the sample still remaining after 34 years.

Answers

Answer 1

There will be 5.3241 mg of the sample still remaining after 34 years.

What does an element's half-life mean?

A radioactive isotope's half-life is the amount of time it takes for one half of it to decay. The half-life of a particular radioactive isotope is independent of its surroundings or initial concentration.

The half-life is the amount of time required for a quantity (of substance) to reduce to half of its initial value.

Now, the value of N( t ) is given by the formula ,

N( t ) = N₀ ( 1/2 )^ t/ t½

Where,

The value of t½ = 29 years

The initial amount of strontium-90 (N₀) = 12 mg

The number of days (t) = 34 years

The amount of strontium-90 left after 34 years = N( t )

Substituting the values in the equation , we get

N( t ) = 12 mg( 1/2 )^34/29

N( t ) = 12 mg ( 1/2 )¹ ¹⁷²⁴

N( t ) = 12 mg x 0.4436

N( t ) = 5.3241 mg

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Related Questions

How do you determine the freezing point of a solution from its cooling curve?

Answers

Drawing two straight lines connecting the data points above and below the freezing point allows one to infer the solution's freezing point from the graph.

The freezing point of the solution is the temperature that corresponds to the point where the two lines converge.

Pure liquid cooling curves are different from solution cooling curves. Since a pure liquid freezes at a constant temperature, a flat, horizontal zone is anticipated on the cooling curve. If the cooling is kept up until all of the liquid has solidified, the temperature will eventually drop to the bath's temperature as the solid cools. On the other hand, for a solution, the temperature drops at a slower pace when freezing takes place. This happens because the solvent is freezing out completely, increasing the concentration of the liquid solution.

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which antiseptic may affect the results of tests for bilirubin uric acid

Answers

The antiseptic may affect the results of tests for bilirubin uric acid is Povidone-iodine.

Polyvinylpyrrolidone (povidone, PVP) and elemental iodine combine chemically to form the stable compound known as povidone-iodine. On a dry basis, it has a 9.0% to 12.0% available iodine content. H. A. Shelanski and M. V. Shelanski found this particular complex in 1955 at the Industrial Toxicology Laboratories in Philadelphia.

The compound was discovered to be less harmful to mice than tincture of iodine during in vitro tests to exhibit anti-bacterial efficacy. Clinical tests on humans revealed that the medication outperformed competing iodine formulations. Povidone-iodine was marketed right away and has since taken over as the most widely used iodine antiseptic.

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Povidone-iodine is an antiseptic that may affect the results of tests for bilirubin and uric acid. Povidone-iodine is a commonly used antiseptic that can be applied topically to the skin to reduce the risk of infection during medical procedures. However, it can also interfere with certain laboratory tests, including tests for bilirubin and uric acid.

Bilirubin is a yellow pigment that is produced when red blood cells break down, and it is excreted by the liver. Uric acid is a waste product that is produced when the body breaks down purines. Both bilirubin and uric acid can be measured through laboratory tests to help diagnose certain medical conditions.

However, povidone-iodine can interfere with these tests by reacting with the substances being tested, leading to inaccurate results. It is important for healthcare professionals to be aware of the potential for povidone-iodine to affect laboratory test results and take appropriate measures to minimize this risk, such as avoiding its use immediately prior to testing.

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How many Liters of gas is 3.21 x 1024 molecules of carbon monoxide?

Answers

5.33 moles Liters of gas is 3.21 x 1024 molecules of carbon monoxide.

1 mole contains 6.02×[tex]10^{23}[/tex]

X×6.02×[tex]10^{23}[/tex] = 3.21×[tex]10^{23}[/tex]

X= 3.21×/6.02×[tex]10^{23}[/tex] = 0.533×10= 5.33 moles

A molecule is a collection of two or greater atoms held together by attractive forces called chemical bonds; relying on context, the term can also or might not consist of ions that fulfill this criterion.

A molecule may be homonuclear, this is, it includes atoms of one chemical element, e.g. atoms inside the oxygen molecule (O2); or it may be heteronuclear, a chemical compound composed of a couple of detail, e.g. water ( hydrogen atoms and one oxygen atom; H2O). within the kinetic theory of gases, the time period molecule is frequently used for any gaseous particle no matter its composition. This relaxes the requirement that a molecule includes extra atoms because the noble gases are character atoms.

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How many moles are in 55g of NH3(g)?​

Answers

Answer:

1 grams NH3 is equal to 0.058718113128665 mole. Note that rounding errors may occur, so always check the results. Use this page to learn how to convert between grams NH3 and mole.

Explanation:

Is the name for a vertical column in the periodic table

Answers

Groups while the horizontal ones are called Periods

Use the Gizmo to mix 200 g of granite at 100 °C with 1,000 g of water at 20 °C. What is the final temperature? Calculate the temperature change of each substance by subtracting the initial temperature from the final temperature. ∆T water: ∆T granite: C. How much heat energy (q) did the water gain? D. Now solve for the specific heat (c) of granite: E. Repeat steps A through D to find the specific heat (c) of lead:

Answers

The final temperature of the mixture of 200 g of granite at 100 °C and 1,000 g of water at 20 °C is 79.87 °C.

The temperature change of the water is 2.93 °C, and the temperature change of the granite is -78.58 °C. The heat energy (q) gained by the water is 14,844.14 joules.

To calculate the specific heat (c) of granite, you would use the equation

q = mcΔT,

which can be rearranged to c = q/(mΔT). Using the values given, you can calculate the specific heat of granite to be 0.1882 J/g°C. To find the specific heat of lead, you would use the same equation to calculate the specific heat of lead, which would be 0.1296 J/g°C.

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give 10 ways on how to conserve energy

Answers

Answer:

Explanation:

Use energy-efficient appliances and light bulbs.

Unplug electronics when they're not in use.

Set your thermostat to a lower temperature in the winter and a higher temperature in the summer.

Seal air leaks around windows and doors.

Use a programmable thermostat to automatically adjust the temperature.

Wash clothes in cold water.

Use a clothesline or drying rack instead of a clothes dryer.

Turn off lights when leaving a room.

Plant trees or install shading devices to block the sun's heat.

Drive less and carpool or use public transportation more.

8. When 50.0 g of MgCO3 react completely with H3PO4, as shown below, 15.8 g of CO₂ is produced.
Determine the theoretical and percent yield for this reaction?
2 H3PO4 + 3 MgCO3 → Mg3(PO4)2 + 3 CO2 + 3 H₂O

Answers

The theoretical yield for this reaction is 78.61 g of CO2 and the percent yield is 20.0%, when 50.0 g of MgCO3 react completely with H3PO4.

What is theoretical yield?

The theoretical yield is the maximum amount of product that can be produced from a chemical reaction, calculated using the stoichiometry of the reaction equation. It is based on the assumption that the reaction proceeds perfectly, without any loss or waste of reactants, and without any interference from side reactions.

The theoretical yield is calculated by determining the number of moles of each reactant, using the balanced chemical equation to calculate the number of moles of product that can be produced, and then converting this to the corresponding mass of product. It is a useful reference for determining the efficiency of a reaction and for evaluating the quality of the results obtained in a laboratory experiment.

Calculation of Theoretical yield

To calculate the theoretical yield, determine the number of moles of MgCO3 and use the balanced chemical equation to calculate the number of moles of CO2 produced.

The number of moles of MgCO3 is given by:

n(MgCO3) = m(MgCO3) / M(MgCO3)

n(MgCO3) = 50.0 g / 84.31 g/mol

n(MgCO3) = 0.595 mol

Using the balanced chemical equation, calculate the number of moles of CO2 produced:

n(CO2) = 3 * n(MgCO3)

n(CO2) = 3 * 0.595 mol

n(CO2) = 1.785 mol

The mass of CO2 produced can then be calculated:

m(CO2) = n(CO2) * M(CO2)

m(CO2) = 1.785 mol * 44.01 g/mol

m(CO2) = 78.61 g

This is the theoretical yield for the reaction.

The percent yield is a measure of the efficiency of the reaction, and is calculated as the ratio of the actual yield to the theoretical yield, multiplied by 100:

% yield = (actual yield / theoretical yield) * 100

% yield = (15.8 g / 78.61 g) * 100

% yield = 20.0%

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Sodium is extracted from sodium chloride by electrolysis.

(ii) State what must be done to sodium chloride before it can be electrolysed to produce sodium.

iii) Write an ionic half-equation for the change that occurs at the cathode during this electrolysis

Answers

(ii) Sodium chloride must be dissolved in a suitable solvent,

(iii) The ionic half equation for the electrolysis is

2Na+ + 2e- -> Na

What is electrolysis?

Electrolysis is a process in which electrical energy is used to drive a non-spontaneous chemical reaction.

It involves passing an electric current through a substance (usually a molten or dissolved ionic compound) that conducts electricity, causing the ions in the substance to move toward electrodes of opposite charge and undergo chemical reactions. This results in the separation of the substance into its component elements.

(ii) Sodium chloride must be melted or dissolved in a suitable solvent, such as water, before it can be electrolyzed to produce sodium.

(iii) The ionic half-equation for the change that occurs at the cathode during the electrolysis of sodium chloride is:

2Na+ + 2e- -> Na (sodium metal at cathode)

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a sample of 5.10 g of naphthalene (c10h8) is dissolved in 76.1 g of benzene (c6h6). calculate the percent by mass of naphthalene in this solution.

Answers

To calculate the percent by mass of naphthalene in this solution, we need to find the total mass of the solution and the mass of naphthalene in the solution.

The mass of the solution is the sum of the masses of naphthalene and benzene:

mass of solution = mass of naphthalene + mass of benzene

mass of solution = 5.10 g + 76.1 g = 81.2 g

Next, we can find the mass of naphthalene in the solution as a fraction of the total mass and convert it to a percentage:

mass of naphthalene / mass of solution * 100%

(5.10 g) / (81.2 g) * 100% = 6.29%

Therefore, the percent by mass of naphthalene in this solution is 6.29%.

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give one function of iron in animals​

Answers

Answer:

One function of iron in animals is to transport oxygen in the bloodstream as part of the hemoglobin molecule.

the density of mercury is 13.6 g/cm3. what approximate mass of mercury is required to fill a 4.0 ounce bottle? an ounce is approximately 30 cm3. group of answer choices 53 g 1632 g 2 g 540 g

Answers

The approximate mass of mercury required to fill a 4.0 ounce bottle is 1632 g .

An ounce is approximately 30 cm3, so the calculation is as follows: 13.6 g/cm3 x 30 cm3 = 408 g. Since there are 28.35 g in an ounce, 408 g / 28.35 g = 14.4 ounces.

Therefore, 14.4 ounces x 1632 g/ounce = 1632 g.

The reason why mercury is so dense is because it is a heavy metal composed of molecules that are closely packed together. This makes it very heavy for its volume, and it is one of the densest elements found in nature. It also has a high boiling point, making it ideal for use in thermometers and other temperature measuring instruments. In addition, mercury is a liquid at room temperature, which makes it easy to measure and pour.

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NH 3 +O 2 --> N_{2} + H_{2}*O


Given 1.66 mol of the reactant NH3, deter- mine the corresponding amount of O_{2} . Answer in units of mol. Answer in units of mol.


015 (part 2 of 9) 10.0 points Find the corresponding amount of N_{2} Answer in units of mol. Answer in units of


mol.

Answers

Taking into account the reaction stoichiometry, 1.245 moles of O₂ is required to react and 0.83 moles of N₂ are formed when 1.66 moles of NH₃ react.

Reaction stoichiometry

In first place, the balanced reaction is:

4 NH₃ + 3 O₂ → 2 N₂ + 6 H₂O

By reaction stoichiometry (that is, the relationship between the amount of reagents and products in a chemical reaction), the following amounts of moles of each compound participate in the reaction:

NH₃: 4 molesO₂: 3 molesN₂: 2 molesH₂O: 6 moles

Amount of O₂ required

The following rule of three can be applied: If by reaction stoichiometry 4 moles of NH₃ react with 3 moles of O₂, 1.66 moles of NH₃ react with how many moles of O₂?

moles of O₂= (1.66 moles of NH₃× 3 moles of O₂)÷ 4 moles of NH₃

moles of O₂= 1.245 moles

Finally, 1.245 moles of O₂ is required to react.

Mass of N₂ formed

The following rule of three can be applied: if by reaction stoichiometry 4 moles of NH₃ form 2 moles of N₂, 1.66 moles of NH₃ form how many moles of N₂?

moles of N₂= (1.66 moles of NH₃× 2 moles of N₂)÷ 4 moles of NH₃

moles of N₂= 0.83 moles

Finally, 0.83 moles of N₂ are formed.

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I NEED HELP ASAP!!!!!!!!!!

Answers

Moles of Co2=2.3 x 10^15 molecules *1 mol/(6.022*. 10^23 molecules)


Solution


There are 3.8 x 10^(-9) moles in 2.3 x 10^15 molecules of CO2

suppose one needed 10.65 grams of dilute aqueous solution. what is the approximate volume of the solution in ml would be equivalent to the grams?

Answers

The volume of a dilute aqueous solution can vary depending on the concentration of the solution.

However, we can make an estimate based on the assumption that the solution has a density of approximately 1 g/mL. This means that 1 mL of the solution would weigh approximately 1 gram.

Therefore, 10.65 grams of the solution would have a volume of approximately 10.65 mL. To be more precise, you would need to know the exact density of the solution, as different solutions can have different densities, even if they are dilute aqueous solutions.

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This:

"Metal sulfides roasted with oxygen produce the corresponding oxide and sulfur dioxide gas. "

Answers

Metal sulfides are compounds that contain sulfur and a metal. When these compounds are heated with oxygen, the sulfur and metal combine with the oxygen to form a metal oxide and sulfur dioxide gas.

The chemical equation for this process is: 2MS + O2 → MO + 2SO2, where M is the metal and S is the sulfur. In this equation, the MS represents the metal sulfide, and the MO represents the metal oxide. The oxygen combines with the sulfur and metal to produce the metal oxide and sulfur dioxide gas. The sulfur dioxide gas is a hazardous air pollutant and can cause health problems if inhaled.

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Which formula represents an ionic compound ?
1)kcl
2)co2
3)hcl
4)no2

Answers

The chemical formula which represents an ionic compound is KCl or potassium chloride.

What is chemical formula?

Chemical  formula is a way of representing the number of atoms present in a compound or molecule.It is written with the help of symbols  of elements. It also makes use of brackets and subscripts.

Subscripts are used to denote number of atoms of each element and brackets indicate presence of group of atoms. Chemical formula does not contain words. Chemical formula in the simplest form  is called empirical formula.

It is not the same as structural formula and does not have any information regarding structure.It does not provide any information regarding structure of molecule as obtained in structural formula.

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what type of reaction takes place between methane and chlorine

Answers

Answer and Explanation:

When methane (CH4) and chlorine (Cl2) react, a substitution reaction takes place. Specifically, the reaction is a halogenation reaction, in which one or more hydrogen atoms in the methane molecule are replaced by chlorine atoms. The reaction can be represented by the following equation:

CH4 + Cl2 → CH3Cl + HCl

In this equation, CH3Cl represents chloromethane, which is a type of organochlorine compound. The reaction is typically initiated by ultraviolet (UV) light or heat, and it proceeds through a series of free radical chain reactions. The products of the reaction are typically a mixture of chloromethane and hydrogen chloride (HCl) gas.

Help what is the answer?

Answers

The heat that is supplied is  556 J.

What is the energy required?

We have to note that when we boil water that there is transformation of the heat energy to water and this is what is going to cause the temperature of the water to rise. In this case, we would med to get the heat that has been imparted to the water as we can see in the question.

We have to note that;

H = mcdT

m = mass of the water

dT = temperature change

c = heat capacity

H = 10.1 * 4.2 * (38 - 24.9)

H = 556 J as we can see.

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combustion analysis of 1.200 g of an unknown compound containing carbon, hydrogen and oxygen produced 2.086 g of carbon dioxide and 1.134 g of water. what is the empirical formula of the compound? please input the subscript hydrogen has in the empirical formula.

Answers

The empirical formula of the compound is C2H2O2, with hydrogen having a subscript of 2.

The equation for combustion of the unknown compound is:

CxHyOz + O2 → CO2 + H2O

Therefore, the equation for this particular combustion reaction is:

1.200g CxHyOz + 32.00g O2 → 2.086g CO2 + 1.134g H2O

Rearranging the equation, we get:

1.200g CxHyOz → 2.086g CO2 + 1.134g H2O - 32.00g O2

Dividing both sides of the equation by the molar mass of the compound:

[tex]\frac{(1.200g CxHyOz)}{(x(12.01) + y(1.008) + z(16.00))}\\ \\=\frac{ (2.086g CO2 + 1.134g H2O - 32.00g O2)}{(44.01)}[/tex]

After simplifying, we get:

[tex]\frac{(1.200g CxHyOz)}{(x(12.01) + y(1.008) + z(16.00)) }\\\\= 0.0478[/tex]

Therefore, the empirical formula of the compound is C2H2O2, with hydrogen having a subscript of 2.

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Jade's basketball team is choosing a color for their new uniforms. They have a catalog from a vendor with 17 choices. Jade's teammates have already ruled out 9 of the colors. They choose 1 of the remaining colors at random. Assuming that is one of the available colors, what is the probability that the color blue will be chosen?

Answers

The probability that the color blue will be chosen is 2/8 or 1/4, since there are 8 colors remaining after 9 have been ruled out and 2 of those are blue.

Because 9 colors have been eliminated, there are now 17 - 9 = 8 colors remaining. Because two of the eight hues are blue, the chance of selecting blue is 2/8, which simplifies to 1/4.

Another way to look at it is that there are 17 different colors to pick from, and two of them are blue, so the likelihood of selecting blue if all colors were available is 2/17. But, because 9 colors have been ruled out, the probability must be recalculated using the new total of 8, yielding a probability of 1/4.

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HELP ASAP. Due at 11:59 pm ET. I dont know if what I put in is right

Answers

Answer:

Explanation:

The net ionic equation is essentially the most simplified version of a reaction with only the reactants that form the precipitate (the solid). Due to this it is extremely important to properly write your ionic equation first. In your total ionic equation, you forgot to balance the compounds with 2- charges.  The coefficients in your equation is due to the 2- charge of sulfate and 2+  charge of Strontium. Additionally, precipitates are solid which means they do not dissociate. SrSO4 will stay together while KBR which are both spectator ions will dissociate leaving you with the ionic equation below.

Total Ionic Equation: Sr^2 (aq)+  + 2Br ^1- (aq) +2K ^ 1(aq) +  SO4 ^2- (aq) --> SrSO4 (s) + 2K^1+ (aq) + 2Br^1- (aq)

The coefficient of 2 on both K and Br in the products is to ensure that the equation is balanced and that for your net ionic equation, all spectator ions cancel. When you cancel all of the ions that dissociate you are left with the essence of the reaction:

Net Ionic Equation:  Sr^2 (aq) + SO4 ^2- (aq) --> SrSO4 (s)

Help what is the answer??

Answers

If 65.8 grams of O2 are allowed to react with too much CH4, the enthalpy change (H) is -1648.11 kJ.

What exactly is a chemical reaction?

One or more substances, or reactants, are changed into one or more different substances, or products, in a chemical reaction.

The following response is

CO2 + 2H2O = CH4 + 2O2 + g (g) ΔH = -802 kJ

Using this formula, we can determine how many moles there are.

Given Mass/Molar Mass x Number of Mole

Here,

If oxygen weighs 65.8 g, then

Oxygen's molar mass is 16 g/mol.

Now,

Given Mass/Molar Mass x Number of Mole

= 65.8/16

= 4.11 moles

802 kJ of energy are given off by 2 moles of oxygen.

Therefore, 4.11 moles of O2 releases =

= 1648.11 kJ

As a result, enthalpy change (H) = -1648.11 kJ.

The complete question is,

Think about the following thermochemical formula:

CH4 (g) + 2 O2(g) CO2 (g) + 2 H2O (g) ΔH = -802 kJ

If 65.8 grams of O2 are let to react with too much CH4, what is the enthalpy change (AH)?

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you have a solution which appears green. what color light is being transmitted? whatcolor(s) are being absorbed?

Answers

The green color light is being transmitted.

The violet, red and orange wavelengths are absorbed.

What is color transmitted?

Light transmits when it penetrates a surface. This can be observed with materials like glass or transparent plastic using visible frequencies. The transmitted light allows us to see through these materials.

Electromagnetic radiation that can be seen by the human eye is known as light or visible light. Typically, visible light is defined as having wavelengths between 400 and 700 nanometers (nm), or frequencies between 750 and 420 terahertz, which fall between the longer-wavelength infrared and the shorter-wavelength ultraviolet (with shorter wavelengths).

The color of the solution is green.

Thus the solution is transmitted green.

The remaining color is absorbed by the solution.

The absorbed colors are violet, red, and orange wavelengths.

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some metals are used in surgical implants. go to the asm handbook to find the tensile strength and yield strength of 316 stainless steel (annealed or cold worked). provide the answer and citation.

Answers

I don’t have the ASM Handbook. However, I can tell you that the ASM Handbook is a comprehensive reference source for materials science and engineering information. The tensile strength and yield strength of 316 stainless steel (annealed or cold worked) can be found in Volume 2, Properties and Selection: Nonferrous Alloys and Special-Purpose Materials, under the section on stainless steels.

The specific information on the tensile strength and yield strength will depend on the specific conditions and specifications of the material. The citation for the information can be found in the ASM Handbook.

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Ammonia is produced at high temperatures and under great pressure in a tank by
passing a mixture of nitrogen and hydrogen over an iron catalyst. The reaction is
represented by this equation:
N2(g) + 3H2(g) → 2NH3(g)
If the total pressure of nitrogen and hydrogen in the tank before the reaction is
4200 kPa, what is the partial pressure of the nitrogen gas? [Assume there would be
no excess reagent if the reaction went to completion.]
1050 kPa
3150 kPa
1400 kPa
2100 kPa

Answers

The partial pressure of nitrogen gas in the tank would be 1050 kPa.

Law of partial pressure

According to the law of partial pressure of gases, the pressure of a gas mixture would be the sum of the individual pressure of the component gases.

The mole fraction of nitrogen gas in the gas mixture = 1/4

The mole fraction of hydrogen gas = 3/4

The total pressure in the tank before the reaction = 4200 kPa

Partial pressure of nitrogen = 1/4 x 4200 = 1050 kPa

In other words, the partial pressure of nitrogen gas in the mixture before the reaction would be 1050 kPa.

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Answer:

1050 kPa.

Explanation:

which type of molecule never contains a phosphate group?

Answers

Triglycerides are the type of molecule NEVER contains a phosphate group.

Triglycerides are a type of lipid molecule composed of three fatty acid molecules attached to a glycerol backbone. These molecules do not contain a phosphate group and the structure is represented as follows:

C3H5(OH)3 + 3C17H33COO → C3H5(OH)3(C17H33COO)3

Triglycerides are an important source of energy for the body, and they also help to store and transport certain vitamins and hormones. High levels of triglycerides can increase the risk of heart disease, stroke, and other health problems. To lower triglycerides, people should eat a healthy diet, get regular exercise, and limit their intake of processed and sugary foods.

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complete question:Which type of molecule NEVER contains a phosphate group?

a. ATP

b. phospholipid

c. nucleic acid

d. triglycerides

The standard enthalpy of formation of gaseous carbon dioxide is −393.5 kj/mol. what is the equation that represents the formation of gaseous carbon dioxide?

Answers

C(s) + O2(g) → CO2(g) is the equation for the production of carbon dioxide gas.

The standard enthalpy of formation of a substance is the change in enthalpy that occurs when one mole of substance is formed from its standard state constituents. A pure element in its standard state has a standard enthalpy of formation of zero. All elements in their standard state (oxygen gas, solid carbon in the form of graphite, etc.) have a standard enthalpy of formation of zero because there is no change in their formation. C(s) + O2(g) → CO2(g) is the equation for the production of carbon dioxide gas. 

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calculate the change in temperature of the cold water and the change in temperature of the hot water

Answers

If the initial temperature of the cold water is T1 and the final temperature is T2, then the change in temperature of the cold water is given by T2 - T1.

What is temperature?

Temperature is a measure of the average kinetic energy of the particles in a material. It is measured by thermometers and expressed in units such as Celsius (°C), Fahrenheit (°F), and Kelvin (K). Temperature can be further divided into two categories: absolute temperature and relative temperature. Absolute temperature is measured from absolute zero, which is the lowest temperature possible, and is expressed in units such as Kelvin (K). Relative temperature is the temperature of a material compared to another material and is expressed in units such as Celsius (°C) and Fahrenheit (°F).

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if there are 4 moles of hydrochloric acid, how many grams of each product will be formed?

Answers

Answer: 145.84376 grams (i think)

Explanation: i searched it

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find an angle theta coterminal to 614, where 0 A $1000-face-value 10-year bond has a 6% coupon rate, its current price is $980. a. What would be the price of this bond after one year if yield to maturity decreases to 3%. b. Continued from part a, calculate return for one-year investment, capital gain rate and current yield. Which of the following integrals represents the area of the region bounded by the curves, y = -3x^(1/2), y = x - 4, and y = 0, in terms of x?a. (4, 0) (-3 x) dx + (5, 4) (x - 4) dxb. (4, 0) -3 x dx c. (1, 0) 3x dx + (4, 1) (-x + 4) dxd. (2, 0) 3x dx + (4, 2) (-x + 4) dxe. (1, 0) (-3x) dx + (4, 1) (-x + 4) dx the timer was set for 40 hz in this experiment and it produced a spot on the tape every 25 ms. if you set the timer to 10 hz, what would be the elapsed time between spots? 7)3)5)Determine if the two triangles are congruent. If they are, state how you know.2)1)A6)SSS?SAS? Spanish 1 B Unit 4: En nuestra casa Lesson 6: En nuestra casa Unit Test FIND MULTIPLICITY AND ZEROS OF THE GRAPH! graph the function y=-2/x why can flame tests be effectively utilized to identify a cation in a solution? 34. One delivery driver can complete a route in 6 h. Another driver can complete the same routein 5 h. If the drivers work together, about how many hours will they take to complete the route?Round your answer to the nearest tenth.A. 1 hourb. 2.7 hoursC. 5 hoursD. 11 hours Do you think you can relate the given quantity to the indicated amount using more than one symbol? Why? i am a basket maker in india. the people in my village make beautiful baskets. my grandmother and my mother made baskets. what type of economic system am i describing? INSTRUCTIONS: Each of the following items combines two clauses. Determine which one combines the clauses correctly.My wife has an idea about how to make my workshop look better. I get extremely nervous.O My wife has an idea about how to make my workshop look better. Making me extremely nervous.O My wife has an idea about how to make my workshop look better, I get extremely nervous.O Whenever my wife has an idea about how to make my workshop look better, I get extremely nervous.O My wife has an idea about how to make my workshop look better yet, I get extremely nervous.QUESTION 7INSTRUCTIONS: Each of the following items combines two clauses. Determine which one combines the clauses correctly.Joy wanted to purchase a new mattress. She couldn't find one she liked.Joy wanted to purchase a new mattress; however, she couldn't find one she liked.O Joy wanted to purchase a new mattress but she couldn't find one she liked.O Joy wanted to purchase a new mattress, however, she couldn't find one she liked.O Joy wanted to purchase a new mattress, but, she couldn't find one she liked.14 Bakit mahalaga ang presyo sa implamasyon?Why is 'price' important in inflation? as caesar loved me i wept for him as he was fortunate i rejoice at it as he was valiant i honour him but as he was ambitions i slew h suggesting a company align itself with a certain concert series is called ? Jose wrote that 9 + 9 = 18. Then he wrote that 9 + 9 + n = 18 n. Are his equations balanced? Explain. The cold war is a war between two powerful countries or super powers. What two countries experienced this after the second war? If tn=3.5n+4.5, find t1, t10, and t(n+1)-tn. Is 85 a term of this sequence.WILL MARK BRANLIEST Consider the falling of a rock off a cliff into seawater and eventually settling at the bottom of the sea. Rank the energy transfers and transformations involved during this process. Rank the options below potential energy thermal energy kinetic energy