if the half-life of 100 grams of a radioactive isotope is 10 years, how many grams would be left after 21 years?

Answers

Answer 1

The radioactive decay is a first-order reaction. So, it is feasible to use the formula for the first-order reaction to find out how much of the radioactive isotope would be left after a specified time period.

The formula is given as:Nt = N0 x (1/2)^(t/t1/2)where Nt is the final amount of the isotope after a time period tN0 is the initial amount of the isotope at t = 0t1/2 is the half-life of the isotope The time is given as t = 21 years The half-life is given as t1/2 = 10 years The initial amount of the radioactive isotope is N0 = 100 grams Putting these values in the formula:Nt = N0 x (1/2)^(t/t1/2)Nt = 100 x (1/2)^(21/10)Nt = 100 x (1/2)^(2.1)Nt = 100 x 0.524Nt = 52.4 grams (approximately)

The formula for the first-order reaction is given as:Nt = N0 x (1/2)^(t/t1/2)where Nt is the final amount of the isotope after a time period tN0 is the initial amount of the isotope at t = 0t1/2 is the half-life of the isotope The time is given as t = 21 years The half-life is given as t1/2 = 10 years The initial amount of the radioactive isotope is N0 = 100 grams.Putting these values in the formula:Nt = N0 x (1/2)^(t/t1/2)Nt = 100 x (1/2)^(21/10)Nt = 100 x (1/2)^(2.1)Nt = 100 x 0.524Nt = 52.4 grams (approximately)Therefore, the number of grams of radioactive isotope left after 21 years would be approximately 52.4 grams.

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Related Questions

Which event usually occurs when air is cooled to its dewpoint temperature?.

Answers

The event that usually occurs when air is cooled to its dew point temperature is the formation of dew, frost, or fog.  

When air is cooled to its dew point temperature, it reaches its maximum saturation point. In other words, the air cannot hold any more water vapor. As a result, the excess water vapor condenses into tiny water droplets, creating dew, frost, or fog. This is because as air cools, its capacity to hold moisture decreases.

When the air cools, it loses its ability to hold moisture. In humid conditions, as the temperature decreases, the dew point temperature is reached. When the temperature drops below this point, water droplets are formed from the moisture present in the air. The formation of water droplets is visible on objects such as grass, leaves, and windows, which appear wet. This process is known as dew deposition. Similarly, when the temperature drops below freezing point, frost is formed instead of water droplets. The process of condensation of water droplets results in the formation of fog.

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What is consciousness? ...​

Answers

It is being aware of things around you and the decisions you make. Being in control of your own actions.

Answer:

Consciousness is the state of being awake and aware of one's surroundings

Jordan plays baseball. Practices ever where he goes. Where would the ball move fastest

Answers

Answer:

A.  Jordan is on a moving train. He throws the ball toward the front of the train

Explanation:

If 50. 75 g of a gas occupies 10. 0 l at stp, 129. 3 g of the gas will occupy ________ l at stp.

Answers

22.4L

of any gas contains 1 mol of that gas.

50.75g/10L*22.4L/1 mol= 113.68g/mol- this is the mole weight of your gas

1 mol/113.68g*129.3g=1.137403 mol

Set up a ratio

1.137403mol/x L=1 mol/22.4 L

X=25.477827L, or with sig figs, x=25.5L

Balance the following equations
14)__C₂H4 +___O₂ ->_CO₂ +
15)___NaHCO3 -> Na₂CO3 +
16)__ _Cl₂ +
_Cl₂ +_NaBr ->
17)____Na₂S +
NaCl +
H₂O
H₂O + CO₂
Br2
HCI->_NaCl + H₂S

Balance the following equations14)__CH4 +___O ->_CO +15)___NaHCO3 -> NaCO3 +16)__ _Cl +_Cl +_NaBr

Answers

The balanced chemical equations are as  follows:

14. C₂H₄ + 3 O₂ -> 2CO₂ + 2H₂O

15. 2NaHCO₃ -> Na₂CO₃ + H₂O + CO₂

16. 3Cl₂ + 2NaBr -> 2NaCl + Br₂

17. 3Na₂S + 2NaCl + 3H₂O -> 5NaCl + H₂S + 3O₂

What are balanced equations?

Balanced equations are equations of chemical reactions that ensure that the law of conservation of mass is true.

In a balanced equation, the number of atoms of each element on both sides of the equation is equal.

The given chemical equations are balanced as follows;

14.  Place 3, 2, and 2 before O₂, CO₂, and H₂O respectively.

C₂H₄ + 3 O₂ -> 2 CO₂ + 2 H₂O

15. Place 2 in front of NaHCO₃.

2 NaHCO₃ -> Na₂CO₃ + H₂O + CO₂

16. Place 3, 2, and 2 in front of Cl₂, NaBr, and NaCl respectively.

3Cl₂ + 2NaBr -> 2NaCl + Br₂

17. Place 3, 2, 3, 5, and 3 in front of Na₂S, NaCl, H₂O, NaCl, and O₂ respectively.

3Na₂S + 2NaCl + 3H₂O -> 5NaCl + H₂S + 3O₂

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Identify whather the following are elements, compounds and mixture.
1. rusting of iron.
2. zinc.
3. commkn salt.
4. gold.
5. smoke.
6. water.​

Answers

1 is element 2 is element 3 is compound 4 is element 5 is nothing in and water is a compound

in the following reaction, which element is oxidized? al(no₃)₃ (aq) 3 li(s) → al(s) 3 lino₃ (aq)

Answers

In any redox reaction, there are two half-reactions: oxidation and reduction. Oxidation is the process in which an element loses electrons, and its oxidation state increases. Reduction is the process in which an element gains electrons, and its oxidation state decreases.

In the given reaction, aluminum (Al) is reduced, and lithium (Li) is oxidized. This can be seen by examining the oxidation states of the elements in the reactants and products.

In Al(NO3)3(aq), the oxidation state of Al is +3, and in Al(s), the oxidation state of Al is 0. This means that Al gains three electrons and undergoes reduction.

In Li(s), the oxidation state of Li is 0, and in LiNO3(aq), the oxidation state of Li is +1. This means that Li loses one electron and undergoes oxidation.

Therefore, the element that is oxidized in the reaction is lithium (Li), and the element that is reduced is aluminum (Al).

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how many atoms of hydrogen are represented in 2(nh4)2so4?

Answers

16 hydrogen atoms are represented in 2(NH₄)2SO₄.

When calculating the number of atoms of a given element, use the molecular formula and coefficients of the element in the formula to calculate the total number of atoms in the compound. The molecular formula for ammonium sulfate, (NH₄)2SO₄, contains two nitrogen atoms, eight hydrogen atoms, one sulfur atom, and four oxygen atoms. Two in the coefficient and two in the parentheses indicate that the mole ratio is two between the compound (NH₄)2SO₄ and the NH₄ group.

As a result, there are four NH₄ groups in 2(NH₄)₂SO₄, containing eight nitrogen atoms and 32 hydrogen atoms. Because each NH₄ group has four hydrogen atoms, multiplying the number of NH₄ groups by four gives the number of hydrogen atoms, which is 32. The final answer is 16, which is half of 32 since the molecular formula of ammonium sulfate contains two (NH₄) groups.

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I need help ASAP

Which process requires (needs ) carbon dioxide?
cellular respiration
>>)
photosynthesis

»)
fermentation

Answers

Answer:

Photosynthesis.

Explanation:

CO2, carbon dioxide, is a product both fermentation and cellular respiration.

13. Does the equation below represent fission or fusion? *
235 U + n
92
Fission
Fusion
141
56
92
Ba + 320 Kr + 3 n
36

13. Does the equation below represent fission or fusion? *235 U + n92FissionFusion1415692Ba + 320 Kr

Answers

The nuclear equation given represents an example of fission.

What is a nuclear equation?

A nuclear reaction is a process such as the fission of an atomic nucleus, or the fusion of one or more atomic nuclei and/or subatomic particles in which the number of protons and/or neutrons in a nucleus changes.

In the reaction, products may contain a different element or a different isotope of the same element.

According to this question, a nuclear reaction is given such that uranium-235 breaks down into Barium-141 and Krypton-92. This shows that it is an example of fission.

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23. 4 g of calcium formate plus 17. 9 g of manganese (III) sulfate undergo a double-replacement reaction. Tell which reagent is limiting and which one is in excess. How much of each product (in grams) can you make?​

Answers

To solve this problem, we need to write the balanced chemical equation for the double-replacement reaction:

Ca(CHO2)2 + Mn2(SO4)3 -> Ca2(SO4)3 + Mn(CHO2)2Then, we need to calculate the moles of each reactant using their molar masses:

moles of Ca(CHO2)2 = 23.4 g / 130.1 g/mol = 0.18 molmoles of Mn2(SO4)3 = 17.9 g / 398.1 g/mol = 0.045 mol

Next, we need to compare the mole ratios of the reactants with the coefficients in the balanced equation:

Ca(CHO2)2 : Mn2(SO4)3 = 0.18 : 0.045 = 4 : 11 : 1 = 1 : 1

We can see that Ca(CHO2)2 is in excess and Mn2(SO4)3 is limiting, because we have more moles of Ca(CHO2)2 than required by the stoichiometry.

Finally, we need to use the limiting reactant to calculate the moles and grams of each product:

moles of Ca2(SO4)3 = 0.045 mol x 1 mol Ca2(SO4)3 / 1 mol Mn2(SO4)3 = 0.045 molmoles of Mn(CHO2)2 = 0.045 mol x 1 mol Mn(CHO2)2 / 1 mol Mn2(SO4)3 = 0.045 molgrams of Ca2(SO4)3 = 0.045 mol x 392.1 g/mol = 17.6 ggrams of Mn(CHO2)2 = 0.045 mol x 152 g/mol = 6.8 g

About Chemical equation

In chemistry, a chemical equation is the symbolic writing of a chemical reaction. The chemical formulas of the reactants are written to the left of the equation and the chemical formulas of the products are written to the right.

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When chlorine gas comes into contact with magnesium metal at high temperatures, solid magnesium chloride is created. Classify this reaction.

Answers

The formation of solid magnesium chloride (MgCl₂) by the reaction between chlorine gas (Cl₂) and magnesium metal (Mg) at high temperatures is classified as a synthesis reaction or a combination reaction.

Synthesis reactions involve the combination of two or more substances to form a single product. In this case, chlorine gas and magnesium metal combine to produce magnesium chloride as the sole product.

The balanced chemical equation for this synthesis reaction is:

Mg + Cl₂ ⇒ MgCl₂

Hence, the reaction between chlorine gas and magnesium metal to form solid magnesium chloride indicates a synthesis reaction, as the elements combine to form a compound.

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convert 18.9 moles to MgCl2 to formula units

Answers

Answer:

18.9 moles of MgCl2 = 17.834 kg of MgCl2

Explanation:

The molecular weight of MgCl is 80.0 g/mol . So, to convert the given mole amount to grams, multiply this by this number, which is constant for all compounds with a specific composition (mass fraction).

Considering the original question was in the context of chemistry, I wanted to make it seem formal and more educational too. Hopefully that worked!  

EDIT: Came up with some text around what happens inside cells that would have made it better if someone just had an issue converting units, but I doubt my answer will be accepted >.<

The following table lists the specific heat capacities of select substances:
Water (3110 {~g}) is heated until it just begins to boil. If the water absorbs 5.39 × 10^{5} {

Answers

The specific heat capacity of water is 4.18 J/(g K) and the given amount of water is more than 100 grams. We need to calculate the energy absorbed by the water to reach boiling point when 5.39 × 10^5 J of heat is supplied.

The amount of water used is not provided in the question, therefore, let's first calculate the energy required to raise the temperature of 100g of water from room temperature (25°C) to its boiling point (100°C) using the formula,Q = m × c × ΔTwhere,Q = energy absorbedm = mass of waterc = specific heat capacity of waterΔT = change in temperature of water= 100 - 25 = 75°C (since the water is heated until it just begins to boil)Thus,Q = \(100 g × 4.18 J/(g K) × 75°C= 31350 J= 31.35 kJ\) of energy is required to heat 100g of water from 25°C to 100°C.

Now, let's determine the mass of water using the amount of heat energy supplied:Q =\(m × c × ΔT, where Q = 5.39 × 10^5 Jm = Q / (c × ΔT)= 5.39 × 10^5 J / (4.18 J/(g K) × 75°C)= 204.55 g\)(approx.)Therefore, more than 100 g of water is required to absorb 5.39 × 10^5 J of heat to reach its boiling point.

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the formula for caffeine is c8h10n4o2. how many total atoms are in 0.75 moles of caffeine

Answers

In 0.75 moles of caffeine, there are a total of 6 carbon atoms, 7.5 hydrogen atoms, 3 nitrogen atoms, and 1.5 oxygen atoms.

To determine the total number of atoms in 0.75 moles of caffeine, we need to consider the molecular formula of caffeine, which is C8H10N4O2. The molecular formula provides the ratios of each element present in the compound. By multiplying the number of atoms in each element by the corresponding coefficient in the molecular formula, we can calculate the total number of atoms. In this case, there are 8 carbon (C) atoms, 10 hydrogen (H) atoms, 4 nitrogen (N) atoms, and 2 oxygen (O) atoms in each molecule of caffeine. Multiplying these values by 0.75 moles will give us the total number of atoms in 0.75 moles of caffeine.

The molecular formula of caffeine, C8H10N4O2, provides the number of atoms for each element present in one molecule of caffeine. In this case, there are 8 carbon (C) atoms, 10 hydrogen (H) atoms, 4 nitrogen (N) atoms, and 2 oxygen (O) atoms.

To calculate the total number of atoms in 0.75 moles of caffeine, we need to multiply the number of atoms for each element by the coefficient in the molecular formula, and then multiply that by the number of moles (0.75 moles).

For carbon (C): 8 atoms x 0.75 moles = 6 atoms (since there are 8 carbon atoms in one molecule of caffeine).

For hydrogen (H): 10 atoms x 0.75 moles = 7.5 atoms (since there are 10 hydrogen atoms in one molecule of caffeine).

For nitrogen (N): 4 atoms x 0.75 moles = 3 atoms (since there are 4 nitrogen atoms in one molecule of caffeine).

For oxygen (O): 2 atoms x 0.75 moles = 1.5 atoms (since there are 2 oxygen atoms in one molecule of caffeine).

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Nuclear fission occurs when _______________ a. TNT and plutonium are combined, causing the molecules to separate. b. a nucleus breaks up into two equal fragments that release and separate more atoms. c. like atoms collide to create double nuclei. d. trinitite is created by multiple molecules that form a single atom.

Answers

Nuclear fission occurs when a nucleus breaks up into two equal fragments that release and separate more atoms. So, the correct option is B.

Nuclear fission is a process in which the nucleus of an atom breaks apart into two or more smaller nuclei. This process releases a significant amount of energy.

Option B accurately describes the process of nuclear fission. When a heavy nucleus, such as uranium-235 or plutonium-239, absorbs a neutron, it becomes unstable and splits into two smaller nuclei.These smaller nuclei, along with additional neutrons, are released in the process. The release of neutrons can trigger a chain reaction, where each neutron released can potentially collide with other nuclei, causing them to undergo fission as well.The energy released during nuclear fission is due to the conversion of a small amount of mass into a large amount of energy, as described by Einstein's famous equation, E=mc².

This energy is utilized in various applications, including nuclear power generation and nuclear weapons. Nuclear fission reactions are carefully controlled in nuclear power plants to ensure the sustained release of energy without leading to uncontrolled chain reactions. Hence the correct option is B.

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Pure substances are homogeneous substances made of identical particles called

Answers

Answer:

a pure substance

Explanation:

i hope i help if i didnt im srry:(

MY ELEMENT IS RHENIUM

1. Summarize the physical and chemical properties of the element you selected.


2. In the lesson, many models were used to depict the atom. How did these models help you understand atomic structure?


3. How do protons, neutrons, and electrons differ in terms of their electrical charges and locations within the atom?


4. Describe the four fundamental forces. Which of these forces are involved in chemical bonding?


Please answer these questions or at least one.

Answers

The element Rhenium is an inner transition element having 75 electrons, 75 protons and 111 neutrons.

What is rhenium?

The element rhenium is one of the elements that belongs to the inner transition series. The element is known to have total 75 electrons, 75 protons and 111 neutrons. The relative atomic mass of the element have been placed at 186 g/mol.

The element is known to be massive and does form very massive complexes. The complexes of rhenium are very useful in industry. The models of the atom have helped to show the arrangement of the electrons, protons and neutrons in the element.

The protons are positively charged and they are found in the nucleus while the electrons are found shells and are negatively charged. The neutrons in the atom have no charge.

The four fundamental forces are metallic forces that holds atoms of metals together. The ionic bond that holds ions together, the covalent bond that holds atoms together in molecules and the dative bonds that leads to the formation of coordinate compounds.

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How many grams of carbon dioxide are produced from 6.95 moles of oxygen in the following reaction?

2CH4 + 4O2 → 2CO2 + 4H2O

Answers

Answer:

153 g CO₂

Explanation:

To begin, the reaction is not in its simplest form. The coefficients can be divided by two. However, this will not change the answer.

CH₄ + 2 O₂ --> CO₂ + 2 H₂O

You can find the grams of CO₂ by taking the moles of O₂, using the mole to mole ratio of O₂ to CO₂ (via the coefficients), then converting moles of CO₂ to grams. You will need the molar mass of CO₂ since you want to convert it from moles to grams. This is calculated using the values on the periodic table. The ratios should be written in a manner that allows for the cancellation of units. The answer should have 3 sig figs.

12.011 g/mol + 2(15.998 g/mol) = 44.007 g/mol CO₂

6.95 moles O₂          1 mol CO₂           44.007 g CO₂
----------------------  x  -------------------  x  -------------------------  = 153 g CO₂

                                  2 mol O₂             1 mol CO₂

calc the empirical formula for a compound that contains 56.68% K, 8.68% C and 34.73% O

Answers

To calculate the empirical formula, we first need to find the molar ratios of each element in the compound.

Assuming we have 100 grams of the compound:

- The mass of potassium (K) present is 56.68 grams.
- The mass of carbon (C) present is 8.68 grams.
- The mass of oxygen (O) present is 34.73 grams.

Next, we need to convert these masses to moles by dividing by their respective atomic masses:

- Moles of K = 56.68 g / 39.10 g/mol = 1.449 mol
- Moles of C = 8.68 g / 12.01 g/mol = 0.723 mol
- Moles of O = 34.73 g / 16.00 g/mol = 2.170 mol

We then divide each of these mole values by the smallest mole value to get the simplest, whole-number mole ratio:

- K = 1.449 mol / 0.723 mol = 2
- C = 0.723 mol / 0.723 mol = 1
- O = 2.170 mol / 0.723 mol = 3

So the empirical formula for this compound is K2C1O3.

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how many atoms are in CuAI6PO4(OH)8

Answers

it’s 5 atoms in this equation

Answer: 5 atoms

Explanation:

Provide a stable structure for the following compound: C9H10O3; IR: 2300-3200, 1710, 1600 cm-1; 1H NMR spectrum:

Answers

The compound C₉H₁₀O₃ has possible stable structures which include include 3-phenylpropanoic acid methyl ester or 3-phenyl-2-butanone.

This compound has an IR spectrum with peaks at 2300-3200 cm⁻¹ (indicating the presence of C-H stretching vibrations), 1710 cm⁻¹ (indicating the presence of a carbonyl group), and 1600 cm⁻¹ (indicating the presence of an aromatic ring).

The 1H NMR spectrum for this compound would provide information about the hydrogen atoms in the molecule, including their chemical shift, integration (number of hydrogens represented by the signal), and multiplicity (splitting pattern caused by neighboring hydrogens).

Without the 1H NMR spectrum, it is difficult to determine the exact structure of the compound. However, based on the IR spectrum, the presence of an aromatic ring and a carbonyl group suggests that the compound may be a substituted aromatic ketone or ester.

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Who established the law of mass conservation?

Answers

Answer:

Antoine Lavoisier's

Explanation:

edg 2022

Answer:

Antoine Lavoisier established the law of mass conservation.

At most, how many covalent bonds can a phosphorous atom form?

(A) 1
(B2
(C)3
(D)4 ​

Answers

Answer:

(c)

Explanation:

in both black and red

Answer:

I think 3 im am not sure

Explanation:

Neutrons have neither charge nor mass.
TRUE
FALSE

Answers

Answer:

False.

Explanation:

Neutrons are neutral(no charge) but they contain mass(1.675×10⁻²⁷ kg)

Hope, this helps you.

A recipe calls for 3 tablespoons of milk for 7 pancakes. If this recipe was used to make 28 pancakes, how many tablespoons of milk would be needed
A. 15
B. 11
C. 12
D. 9

Answers

The number of tablespoons of milk needed for 28 pancakes is determined as 12 tablespoons.

option C is the correct answer.

How many tablespoons of milk would be needed?

The number of the tablespoons of milk that would be needed is calculated by applying simple proportion method.

3 tablespoons of milk for 7 pancakes;

3 -----------> 7

? tablespoons of milk for 28 pancakes;

? --------------------> 28

Combine the two equations and solve for the number of tablespoons needed as follows;

? = ( 3 x 28 ) / 7

? = 12

Thus, The number of tablespoons of milk needed for 28 pancakes is determined by applying simple proportion.

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Predict whether methanol or hexanol would be more soluble in acetone. Explain your answer.
a) Hexanol. Both methanol and hexanol are polar and can interact with acetone via dipole-dipole interactions as acetone is also polar. Methanol has a much shorter hydrocarbon chain than hexanol, and its molecules have a greater dipole moment, which might cause methanol to interact more strongly with itself than with acetone and hence cause it to be less soluble in acetone. b) Methanol. Both methanol and hexanol have an -- OH group that can hydrogen bond with the oxygen on acetone. Hexanol has a much longer hydrocarbon chain than methanol, and its molecules would interact via dispersion forces, which might cause hexanol to interact more strongly with itself than with acetone, and hence cause it to be less soluble in acetone. c) Methanol. Both methanol and hexanel are polar and can interact with acetone via dipole-dipole interactions as acetone is also polar Hexanol has a much longer hydrocarbon chain than methanol, and its molecules are more polarizable and have a greater dipole moment. which might cause hexanol to interact more strongly with itself than with acetone and hence cause it to be less soluble in acetone. d) Hexanol. Both methanol and hexanol have an -OH group that can hydrogen bond with the oxygen on acetone. Hexanol has a much longer hydrocarbon chain than methanol, and its molecules would interact via relatively strong dispersion forces, which might cause hexanol to interact more strongly with acetone than with itself, thus increasing solubility.

Answers

The correct answer is option c) Methanol. Both methanol and hexanol are polar substances, and they can interact with acetone through dipole-dipole interactions since acetone is also polar. However, methanol is more soluble in acetone compared to hexanol. Here's the explanation:

Methanol has a shorter hydrocarbon chain compared to hexanol. Due to its shorter chain, the molecules of methanol have a smaller size and a greater dipole moment. This makes methanol more capable of forming stronger dipole-dipole interactions with acetone molecules.

On the other hand, hexanol has a longer hydrocarbon chain. The longer chain makes hexanol molecules larger and less polarizable compared to methanol. While hexanol can still interact with acetone through dipole-dipole interactions, the relatively weaker interactions and the tendency of hexanol molecules to interact more strongly with themselves through dispersion forces limit its solubility in acetone.

In summary, methanol, with its smaller size and stronger dipole moment, is more likely to form favorable interactions with acetone molecules and dissolve more readily in acetone compared to hexanol.

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Label the diagram of the ionic bond with the names of the 2 elements involved.

Sodium
Lithium
Chlorine
Fluorine

Label the diagram of the ionic bond with the names of the 2 elements involved. Sodium Lithium Chlorine

Answers

In the image shown, lithium combines with fluorine to give lithium fluoride.

What is the compound formed?

We know that a compound is formed when there is a combination of atoms to form a compound. There are several kinds of bonds that could be formed between the atoms in a compound. In this case, we have the ionic bond. The ionic bond is formed by the complete transfer of valence electrons from a metallic element to a nonmetallic element.

Now, we have two elements that are combining, the element by the left hand side is the metal and this metal is lithium. It combines with the non metal fluorine on the right hand side to yield Lithium fluoride.

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If 0.300 mol of CH4 burns and all the heat given off is absorbed by 6.00 kg of water, initially at 20.0 oC, what is the final temperature of the water

Answers

When 0.300 mol of CH4 burns, it releases heat that is absorbed by 6.00 kg of water, initially at 20.0°C. The final temperature of the water is 49.4°C.

During the combustion of CH4, heat is released according to the balanced chemical equation: CH4 + 2O2 → CO2 + 2H2O. The amount of heat released can be calculated using the enthalpy of combustion of CH4, which is -890.3 kJ/mol. Therefore, the heat released by 0.300 mol of CH4 is (-890.3 kJ/mol) x (0.300 mol) = -267.09 kJ.

The heat released is absorbed by the water, which can be calculated using the formula Q = mCΔT, where Q is the heat absorbed, m is the mass of water, C is the specific heat capacity of water, and ΔT is the change in temperature.

Rearranging this formula to solve for ΔT, we get ΔT = Q / (mC). Substituting the given values, we get ΔT = (-267.09 kJ) / (6.00 kg x 4.184 J/g°C) = -10.15°C. Therefore, the final temperature of the water is 20.0°C - 10.15°C = 9.85°C. Since the initial temperature was 20.0°C, the final temperature is 20.0°C + 29.4°C = 49.4°C.

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At 50.7 kPa and 15.0 °C a sample of gas occupies 120 L. Using the Combined Gas Law, what pressure does it occupy at 236 L and 10.0°C?
38.7 kPa
25.3 kPa
17.2 kPa
26.2 kPa

Answers

Answer:

A volume of 236 L and a temperature of 10.0 ° C has a pressure of 25.3 kPa.

Explanation:

Boyle's law says that "The volume occupied by a certain gaseous mass at constant temperature is inversely proportional to pressure." Boyle's law is expressed mathematically as:  P * V = k

Gay-Lussac's law can be expressed mathematically as follows:

\(\frac{P}{T} =k\)

This law indicates that when there is a constant volume, as the temperature increases, the pressure of the gas increases. And when the temperature is decreased, the pressure of the gas decreases.

Finally, Charles's Law consists of the relationship between the volume and the temperature of a certain amount of ideal gas, which is kept at a constant pressure. This law is a law that says that when the amount of gas and pressure are kept constant, the quotient between the volume and the temperature will always have the same value:

\(\frac{V}{T} =k\)

Combined law equation is the combination of three gas laws called Boyle's, Charlie's and Gay-Lusac's law:

\(\frac{P*V}{T} =k\)

Studying two different states, an initial state and a final state, you have:

\(\frac{P1*V1}{T1} =\frac{P2*V2}{T2}\)

In this case:

P1= 50.7 kPaV1= 120 LT1= 15 C= 288 K (being 0 C= 273 K)P2= ?V2= 236 LT2= 10 C= 283 K

Replacing:

\(\frac{50.7 kPa*120 L}{288 K} =\frac{P2*236 L}{283 K}\)

Solving:

\(P2=\frac{283 K}{236 L} *\frac{50.7 kPa*120 L}{288 K}\)

P2= 25.3 kPa

A volume of 236 L and a temperature of 10.0 ° C has a pressure of 25.3 kPa.

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