Answer: 421.264 grams.
Explanation: This problem is essentially testing you on your knowledge of percent mass except with one extra step.
We are given that there are 2kg or 2000 grams of ore. This ore is %15.1 Antimony. We can multiply 2000 grams by .151 to find the amount of Antimony which is 302 grams. We don't want the amount of Antimony though, we want the amount of Stibnite. To find the amount of Stibite, we can multiply the amount of Antimony by 1/(the percent mass of Antimony in 1 molecule of Stibnite. To find the percent mass we divided 2(molar mass of Sb) by the molar mass of one molecule of Stibnite. This calculation is 2(121.67)/339.69. This is the percent mass of Antimony in Stibnite. We take the inverse because we want to find out how much Stibite there is per amount of Antimony. We do 1/(((2(121.67))/339.69) and multiply that by 302 to find the total amount of Sb2S3.
Hope this helps!
At 600°C, gaseous CO and Cl2 are mixed together in a closed container. At the instant they are mixed, their concentrations are CO = 0.79 mol/L and Cl2 = 0.69 mol/L. After equilibrium is established, their concentrations are CO = 0.25 mol/L and Cl2 = 0.15 mol/L. Evaluate the equilibrium constant for the reaction
Calculating the equilibrium constant (K) for a reaction requires knowing the balanced equation of the reaction. I won't be able to give the exact value of K without the exact reaction equation. However, I can explain how to use the concentrations provided to determine K.
An equilibrium constant statement for the reaction has the general form:
[tex]K = [C]^c[D]^d / [A]^a[B]^b[/tex]
In this case, let's assume the reaction is:
aA + bB ⇌ cC + dD
Given the initial and equilibrium concentrations of CO and Cl 2, the following values can be applied to the concentrations:
[A] = [CO] (initial concentration)
[B] = [Cl2] (initial concentration)
[C] = [CO] (equilibrium concentration)
[D] = [Cl2] (equilibrium concentration)
Now that the concentration is determined, we can determine the equilibrium constant (K):
[tex]K = ([C]^c [D]^d) / ([A]^a [B]^b)K = ([CO]^c [Cl2]^d) / ([CO]^a [Cl2]^b)K = ([0.25]^c [0.15]^d) / ([0.79]^a [0.69]^b)[/tex]
The equilibrium constant (K) for the reaction can be obtained by substituting the values of a, b, c and d based on the balanced equation and the specified concentration.
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SOMEONE PLEASEHELP!!!!!!! Using the graph to the right, answer the following questions:
1. What is the half-life of the radioactive isotope?
2. If someone had 4,000g of the sample remaining, how many half-lives has the sample gone through?
3. How many days would it take to have only 1,000g of the sample remaining?
^^^^show work!!!!!
The half-life of the radioactive isotope is 8 days.
Mass at 8 days = 8000 g
Number of half-lives in 4000 g = 8000 / 4000 = 2 half life
Time needed for 1000g to remain is 32 days.
The half life of a chemical reaction is the time required by the substance to reach half of its concentration. It is a characteristic property of the unstable atomic nuclei and the way in which they decay.
For a given reaction the half life of a reactant is the time required for its concentration to reach a value that is the arithmetic mean of its initial and final value. For a reactant that is entirely consumed it is the time taken for the reactant concentration to fall to one half of its initial value.
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The total pressure of gas collected over water is 770.0 mmHg and the temperature is 23.0 degrees Celsius what is the pressure of hydrogen gas formed in mmHg?
For this question, choose THREE answers. A student adds two chemicals together in lab and observes a succe
ssful reaction. Which of the following can be assumed about the reactants they used?
Answer is Answer
Explanation:
The three correct answers about the reactants they used for a successful reaction are:
They successfully collided with each other.They had the minimum activation energy.They were oriented in the correct direction.What is the collision theory?The collision theory states that successful chemical reactions occur when reactant particles collide with each other with sufficient energy and proper orientation.
Based on the collision theory, for a successful reaction to occur, the reactants must collide with each other with sufficient energy (activation energy) and in the correct orientation.
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Complete question:
For this question, choose THREE answers. A student adds two chemicals together in lab and observes a successful reaction. Which of the following can be assumed about the reactants they used?
They had the minimum activation energy.
They did not have the minimum activation energy.
They were not oriented in the correct direction.
They were oriented in the correct direction.
They did not successfully collide with each other.
They successfully collided with each other.
Please Help me solve for B
The velocity of the tomato when it hits the ground is approximately 13.49 meters per second.
The potential energy of the tomato is at the height of 10 meters. When the tomato hits the ground, most of the potential energy is E1 = 0.909*mgh.
By the conservation of energy principle, the kinetic energy [tex]E_1[/tex] is equal to the kinetic energy [tex]E_2[/tex] of the tomato just before it hits the ground.
The kinetic energy [tex]E_2[/tex] is given by[tex]1/2mv^2[/tex], where v is the velocity of the tomato just before it hits the ground. Equating [tex]E_1[/tex] and [tex]E_2[/tex] solving for v, we get:
[tex]v = \sqrt{(20.909gh)[/tex]
Substituting the values of [tex]g = 9.81 m/s^2[/tex]and h = 10 m, we get:
v = [tex]\sqrt{(20.9099.81*10)}[/tex] = 13.49 m/s
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--The complete Question is, Suppose a tomato is dropped from a height of 10 meters. If 90.9% of the work done on the tomato is converted to kinetic energy by the time it hits the ground, what is the velocity (in meters per second) of the tomato when it hits the ground? --
What is the change in temperature (AT) when a 25 g block of aluminum absorbs 10,000 J of heat?
The change in temperature (ΔT) when a 25 g block of aluminum absorbs 10,000 J of heat is approximately 44.32°C.
To calculate the change in temperature (T) that occurs when an aluminium block absorbs a certain quantity of heat, we must utilise the specific heat capacity of aluminium (c) and the equation:
Q = mcΔT
Where Q is the heat absorbed or released, m is the substance's mass, c is the substance's specific heat capacity, and T is the temperature change.
The specific heat capacity of aluminium is approximately 0.897 J/g°C.
Given that the aluminium block weighs 25 g and absorbs 10,000 J of heat, we can plug the following values into the equation:
(25 g) * (0.897 J/g°C) * T = 10,000 J
We can now solve for T:
T = 10,000 joules / [(25 g) * (0.897 J/g°C)]
ΔT ≈ 44.32°C
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An excess of magnesium reacts with 200.0 mL of 2.00M hydrochloric acid solution to produce
magnesium chloride and hydrogen gas. How many milliliters of hydrogen gas will you produce at STP
____Mg+___HCL>___MgCl2+____H2
Answer: 4480 mL if need correct sig figs its 4.48 X 10^3 mL
Explanation:
1) solve for moles HCl
2.00 X 0.2 =0.400 moles HCl
2) now do stoichiometry using balanced chemical equation
___Mg + 2 HCl ---> MgCl2 + H2
0.400 moles HCl X (1 mole H2/2 Moles HCl) X (22400ml/ 1mole) =4480 mL H2
25g of NH3 is mixed with 4 mole of O2 is the given reaction
a.which is the limiting reaction
b.what mass of no is formed
c.what mass of h2o is formed
3.31 grams of hydrogen nitrate is mixed with 750.0 ml of water to make a solution.
a. What is the molarity of this solution?
b. Calculate both the hydronium ion and hydroxide ion concentrations of this solution.
c. Find both the pH and the pOH of this solution.
d. Is this solution an acid or a base?
c. Write the balanced chemical equation for when this solution is mixed with sodium hydroxide.
f. Label the acid, base, conjugate acid, and conjugate base for this reaction.
a)The molarity of this solution is 0.07 M.
b)The hydronium ion concentration is 0.07 M, and the hydroxide ion concentration is approximately 1.43 x 10^(-13) M.
c)The pH ≈ 1.15 & pOH ≈ 12.85
d)This solution is an acid.
e)HNO₃ + NaOH → NaNO₃ + H₂O
f)HNO₃ is the acid.
NaOH is the base.
NaNO₃ is the conjugate acid of the base NaOH.
H₂O is the conjugate base of the acid HNO₃.
To find the molarity (M) of the solution, we need to calculate the number of moles of solute (hydrogen nitrate) and divide it by the volume of the solution in liters.
a.The molar mass of hydrogen nitrate (HNO3) is 63.01 g/mol.Moles of HNO3 = 3.31 g / 63.01 g/mol = 0.0526 mol
Volume of solution in liters = 750.0 mL / 1000 mL/L = 0.750 L
Molarity (M) = Moles of solute / Volume of solution in liters
M = 0.0526 mol / 0.750 L ≈ 0.070 M
b. Hydrogen nitrate (HNO3) dissociates in water to form hydronium ions (H3O+) and nitrate ions (NO3-). Since the compound is a strong acid, it fully dissociates. Thus, the concentration of hydronium ions and nitrate ions is the same as the molarity of the solution, which is 0.070 M.
c. The pH and pOH can be calculated using the formulas: pH = -log[H3O+] and pOH = -log[OH-]. Since the solution is acidic, [H3O+] = 0.070 M.
pH = -log(0.070) ≈ 1.155
pOH = 14 - pH ≈ 14 - 1.155 ≈ 12.845
d. This solution is an acid since it contains hydronium ions (H3O+), which are characteristic of acidic solutions.
e. The balanced chemical equation for the reaction between hydrogen nitrate (HNO3) and sodium hydroxide (NaOH) is:
HNO3 + NaOH -> NaNO3 + H2O
f. In this reaction, HNO3 acts as the acid (donates a proton, H+), NaOH acts as the base (accepts a proton, OH-), NaNO3 is the conjugate base of HNO3, and H2O is the conjugate acid of OH-.
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What is the energy associated with the formation of 2.55 g of 4He by the fusion of 3H and 1H?
Substance Mass (u)
4He 4.00260
3H 3.01605
1H 1.00783
The energy associated with the formation of 2.55 g of 4He by the fusion of 3H and 1H is approximately -[tex]2.57 * 10^{-12 }.[/tex] Joules
How do we calculate?The balanced nuclear equation for the fusion of 3H and 1H to form 4He is shown below:
3H + 1H → 4He
We find that the difference in mass between the reactants and products is: (3 × 3.01605 u) + (1 × 1.00783 u) - (1 × 4.00260 u) = -0.01854 u
Einstein's energy equation is E = mc².
E = (-0.01854 u) × (1.66054 × 10^-27 kg/u) × (2.998 × 10^8 m/s)^2
E = [tex]-4.03 * 10^{-12}[/tex] J
The number of reactions = 2.55 g / 4.00260 g/mol = 0.637 mol
The total energy is = [tex]-4.03 * {10^-12} J[/tex]× 0.637 mol
total energy = [tex]2.57 * 10^{-12} J[/tex]
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If a gas occupies 4.76 L at 6.10 °C and 934 torr, what volume would it occupy at 24.0 °C and 670. torr?
Which gas law should you use?
The gas would occupy approximately 3.00 L at 24.0 °C and 670 torr.
To solve this problem, we can use the combined gas law, which relates the pressure, volume, and temperature of a gas at different conditions. The combined gas law is expressed as:
(P1 × V1) / (T1) = (P2 × V2) / (T2)
where P1, V1, and T1 are the initial pressure, volume, and temperature, respectively, and P2, V2, and T2 are the final pressure, volume, and temperature, respectively.
Using the given values, we can plug them into the equation and solve for V2:
(P1 × V1) / (T1) = (P2 × V2) / (T2)
(934 torr × 4.76 L) / (279.25 K) = (670 torr × V2) / (297.15 K)
Simplifying and solving for V2, we get:
V2 = [(934 torr × 4.76 L) / (279.25 K)] × (297.15 K / 670 torr)
V2 ≈ 3.00 L
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Choose the equation below that is balanced correctly.
S8 +24 028 SO3
S8+ 12 0₂8 SO3
6 S8+8 026 SO3
2 S8 +3 022 SO3
The balanced equation for the reaction between sulfur (S₈) and oxygen (O₂) to form sulfur trioxide (SO₃) is 2S₈ + 16O₂ → 16SO₃.
What is the balanced chemical equation?Balancing chemical equations involves the addition of stoichiometric coefficients to the reactants and products.
The balanced equation for the reaction between sulfur (S₈) and oxygen (O₂) to form sulfur trioxide (SO₃) is determined as;
2S₈ + 16O₂ → 16SO₃
From the reactants side we can see that sulfur is 16 and also 16 in the product side. The number of oxygen in the reactant side is 32 and also 32 in the product side.
Thus, the balanced equation for the reaction between sulfur (S₈) and oxygen (O₂) to form sulfur trioxide (SO₃) is 2S₈ + 16O₂ → 16SO₃.
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if two magnets are placed on a table, which statement describes a situation with the most attraction between the two magnets
The north pole of one magnet is near the South pole of the other magnet.
The ends of a magnet are called its poles. One end is called the north pole, the other is called the south pole. If you line up two magnets so that the south pole of one faces the north pole of the other, the magnets will pull toward each other.
how to synthesize tripropylamine from propylene
The reactions that result in the emission of light involve the ruthenium label and tripropylamine (TPA), two electrochemically active molecules.
Thus, The electrode surface inside the measurement cell is where the reactions take place.
The ruthenium label is oxidized at the electrode surface as an electrical potential is applied, and TPA is oxidized into a radical cation that spontaneously loses a proton.
When the resultant TPA radical interacts with oxidized ruthenium, the ruthenium label enters an excited state and emits a photon (620 nm) before decaying. The ruthenium label is renewed and ready to carry out numerous light-generating cycles as it goes back to its ground state.
Thus, The reactions that result in the emission of light involve the ruthenium label and tripropylamine (TPA), two electrochemically active molecules.
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Identify Cause and Effect
Directions: Read the pairs of statements below. On the line next to each statement,
write C if the statement is a cause and E if the statement is an effect. The first one is
done for you.
C
E
1. Wood is burned in a fireplace.
Thermal energy is released.
2. Carbon dioxide is formed.
Carbon combines with oxygen.
3. Solar panels can collect solar energy.
Solar energy is given off by the sun.
4. Thermal energy is released when coal is burned.
Attached below! I need help for part B
The heat capacity of a system is defined as the amount of heat required to raise the temperature through 1°C. It is denoted by c. It is an extensive property. The mass of steel bar is 47.93 g.
Here the amount of heat taken by the steel rod is equal to the amount of heat lost by water. The heat required to raise the temperature of the sample of mass 'm' having specific heat 'c' is:
Q = c (T - T₀) m
Cs (Ts - T0s) ms = -Cw (Tw - T0w) mw
ms = - Cw (Tw - T0w) mw / Cs (Ts - T0s)
Mass of water = 110 mL × 1.00 g / mL = 110.00 g
ms = -4.18 J / g°C × (21 .10 - 22.00) 110.00 g / 0.452 J / g°C (21.10 - 2.00) = 47.93 g
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an element consists of 3 isotopes. isotopes A has an abundance of 45.6 % and it’s mass is 14.0 amu. Isotope B has an abundance of 25.2%, and has a mass of 15 amu, and isotope c has an abundance of 29.2% and it’s mass is 16 amu. What is the atomic mass of the element
The quantity of protons, neutrons, and electrons that each element has makes it unique.
Each chemical element's atoms has the same number of protons and electrons, which is important because neutrons' quantities are variable.
Isotopes are atoms with the same number of protons but differing numbers of neutrons.
They differ in mass, which affects their physical characteristics even if they have nearly identical chemical properties. There are unstable isotopes that emit radiation as well as stable isotopes that do not. These are referred to as radioisotopes.
Thus, The quantity of protons, neutrons, and electrons that each element has makes it unique.
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how to get N-methyl-4-(p-tolyldiazenyl)aniline from benzene and toluene
The synthesis of N-methyl-4-(p-tolyldiazenyl)aniline can be accomplished in a few steps, as outlined below:
Step 1: Nitration of toluene
Step 2: Reduction of p-nitrotoluene
Step 3: Diazotization of p-toluidine
Step 4: Coupling with N-methylaniline
Toluene is first nitrated to form p-nitrotoluene. This can be done by treating toluene with a mixture of nitric acid and sulfuric acid under controlled conditions. The reaction can be represented as follows:
Toluene + HNO3 → p-nitrotoluene + H2O
The p-nitrotoluene is then reduced to form p-toluidine, using a reducing agent such as iron and hydrochloric acid. The reaction can be represented as follows:
p-nitrotoluene + 6HCl + Fe → p-toluidine + 3H2O + FeCl3
The p-toluidine is then diazotized using nitrous acid to form the diazonium salt. The reaction can be represented as follows:
p-toluidine + HNO2 → p-tolyldiazonium chloride + H2O
The diazonium salt is then coupled with N-methylaniline to form N-methyl-4-(p-tolyldiazenyl)aniline. The reaction can be represented as follows:
p-tolyldiazonium chloride + N-methylaniline → N-methyl-4-(p-tolyldiazenyl)aniline + HCl
Overall reaction:
Toluene + HNO3 → p-nitrotoluene + H2O
p-nitrotoluene + 6HCl + Fe → p-toluidine + 3H2O + FeCl3
p-toluidine + HNO2 → p-tolyldiazonium chloride + H2O
p-tolyldiazonium chloride + N-methylaniline → N-methyl-4-(p-tolyldiazenyl)aniline + HCl
It is important to note that these reactions require careful handling and should only be attempted by individuals with proper training and experience in organic chemistry.
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what is the density of a liquid that has a volume of 200 mL and a mass of 125 g.
Answer:
0.625g/mL
Explanation:
D=mass (grams) / Volume (mL or cm^3)
m=125g
V=200mL
D= 125g/200mL= 0.625g/mL
If you heat 400.0 grams of water in a pot on the stove from 20ºC to 99°C, how much heat did the water absorb?
The amount of heat absorbed by 400 grams of water from 20°C to 99°C is 132,214.4 J.
How to calculate heat?The amount of heat absorbed or released by a substance can be calculated using the following equation;
Q = mc∆T
Where;
Q = quantity of heat absorbed or releasedm = mass c = specific heat capacity∆T = change in temperatureAccording to this question, 400.0 grams of water is heated in a pot on the stove from 20ºC to 99°C. The amount of heat absorbed can be calculated as follows:
Q = 400 × 4.184 × {99 - 20}
Q = 132,214.4 J
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Suppose you were doing a titration where you start out with a basic solution of around 8.0 and you expect to keep adding an acid until the mixture has a pH of 3.0. Based on the indicator chart which pH indicator would be the best one to use. Describe the color change that would be observed
Based on the information regarding the titration, as the pH of the solution decreases, phenolphthalein will change color to pink.
How to explain the color changeThe best indicator to use for a titration where you start out with a basic solution of around 8.0 and you expect to keep adding an acid until the mixture has a pH of 3.0 is phenolphthalein.
Phenolphthalein is an indicator that changes color in the pH range of 8.3 to 10.0. In basic solutions, phenolphthalein is colorless. As the pH of the solution decreases, phenolphthalein will change color to pink. The color change will be observed at the equivalence point of the titration, which is the point at which the amount of acid added is equal to the amount of base present. At the equivalence point, the pH of the solution will be 7.0.
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help plssss!!!! i need this done by tonight!!!!
1. Using your knowledge of the Brønsted-Lowry theory of acids and bases, complete the following acid-base reactions and indicate each conjugate acid-base pair.
i. OH + HPO₂ → H₂O + H₂PO₄²⁻
The conjugate acid-base pair is OH/H₂O, HPO₂²⁻/H₂PO₄²⁻
2) Identify the conjugate acid-base pairs in the following reactions. Write A, B, CA, and CB below the appropriate substance.
i. HCO₃⁻ + NH₃ → NH₄⁺ + CO₃²⁻
The conjugate acid-base pair is HCO₃⁻/CO₃²⁻, NH₃/NH₄⁺
ii. HCI + H₂O → H₃O⁺ + Cl⁻
The conjugate acid-base pair is H₂O/OH⁻, HCI/Cl⁻, H₃O⁺/H₂O, Cl⁻/HCI
iii. CH₃COOH + H₂O → H₃O⁺ + CH₃COO⁻
The conjugate acid-base pair is CH₃COOH/CH₃COO⁻, H₂O/OH⁻, H₃O⁺/H₂O
iv. HOCI + NH₃ → NH₄⁺ + ClO⁻
The conjugate acid-base pair is HOCI/ClO⁻, NH₃/NH₄⁺
3. Write the formula for conjugate bases formed by the following acids.
i. HPO₄²⁻ → PO₄³⁻
ii. H₂O → OH⁻
iii. CN⁻ → HCN
iv. HOOC-COO⁻ → HOOCCOOH
4) Write the formula for conjugate acids formed by each of the following bases.
i. H₃O⁺ → H₂O
ii. HCN → H₂CN⁺
iii. NH₃ → NH₄⁺
5. Classify each of the following pH values as acidic, basic, or neutral.
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Drag the tiles to the correct boxes to complete the pairs.
Match each decimal number to the correct scientific notation.
3.07 x 10-6
3.07 x 106
3.07 x 10-4
3.07 x 104
Answer:
Explanation:
The matching of each decimal number to the correct scientific notation is as follows:
3.07 x 10^-6 -> D) 3.07 x 10^-6
3.07 x 10^6 -> B) 3.07 x 10^6
3.07 x 10^-4 -> A) 3.07 x 10^-4
3.07 x 10^4 -> C) 3.07 x 10^4
So, the correct matching is:
D) 3.07 x 10^-6
B) 3.07 x 10^6
A) 3.07 x 10^-4
C) 3.07 x 10^4
Estimate the pH and Fraction (in terms of percentage) CH3COOH molecules deprotonated in 0.15 M CH3COOH
The pH of the 0.15 M [tex]CH_3COOH[/tex] solution is approximately 2.38. and around 2.9% of the [tex]CH_3COOH[/tex] molecules in the 0.15 M solution are deprotonated.
Acetic acid ([tex]CH_3COOH[/tex]) is a weak acid that only partially dissociates in water to form [tex]H^+[/tex] ions and [tex]CH_3COO^-[/tex] ions. To estimate the pH and fraction of [tex]CH_3COOH[/tex]molecules deprotonated in a 0.15 M [tex]CH_3COOH[/tex]solution, we can use the following equations and approximations:
The dissociation constant for acetic acid (Ka) is 1.8 x 10^-5.
The initial concentration of [tex]CH_3COOH[/tex] is equal to its concentration at equilibrium, since it only partially dissociates.
The concentration of [tex]H^+[/tex] ions is equal to the concentration of [tex]CH_3COO^-[/tex] ions at equilibrium, since the dissociation reaction involves a 1:1 ratio of [tex]H^+[/tex] ions to [tex]CH_3COO^-[/tex] ions.
Using these approximations, we can set up an equilibrium expression for the dissociation of [tex]CH_3COOH[/tex] :
[tex]Ka = [H^+][CH_3COO^-]/[CH_3COOH][/tex]
We also know that the initial concentration of [tex]CH_3COOH[/tex] is 0.15 M. Let x be the concentration of [tex]H^+[/tex] ions and [tex]CH_3COO^-[/tex] ions at equilibrium. Then:
[[tex]H^+[/tex]] = x
[[tex]CH_3COO^-[/tex]] = x
[[tex]CH_3COOH[/tex]] = 0.15 - x
Substituting these values into the equilibrium expression and solving for x, we get:
Ka = x^2 / (0.15 - x)
1.8 x 10^-5 = x^2 / (0.15 - x)
x = 0.0042 M
The pH can be calculated using the formula:
pH = -log[[tex]H^+[/tex]]
pH = -log(0.0042)
pH = 2.38
Therefore, the pH of the 0.15 M [tex]CH_3COOH[/tex] solution is approximately 2.38.
To estimate the fraction of [tex]CH_3COOH[/tex] molecules that are deprotonated, we can use the equation:
Fraction deprotonated = [tex][CH_3COO^-] / [CH_3COOH][/tex] x 100%
At equilibrium, the concentration of [tex]CH_3COO^-[/tex] ions is equal to the concentration of [tex]H^+[/tex] ions, which we calculated to be 0.0042 M. The concentration of [tex]CH_3COOH[/tex] at equilibrium is 0.15 - 0.0042 = 0.1458 M. Substituting these values into the equation, we get:
Fraction deprotonated = 0.0042 / 0.1458 x 100%
Fraction deprotonated = 2.9%
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H₂F5BLi
plsssss helppp ima fail if i don’t go this
The chemical elements involved are; hydrogen, fluorine, boron and lithium
There are two hydrogen atoms, five fluorine atoms, one boron atom and one lithium atom.
What is a chemical formula?Chemical compounds are represented symbolically by chemical formulas, which reveal the types and amounts of atoms that make up the compound. It is a succinct approach to explain a substance's makeup.
The components of a compound are identified in a chemical formula by their corresponding chemical symbols, which are typically derived from their English or Latin names. The number of atoms of each element in a single compound molecule is indicated by the subscripts that follow each element.
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An ideal gas (which is is a hypothetical gas that conforms to the laws governing gas behavior) confined to a container with a massless piston at the top. (Figure 2) A massless wire is attached to the piston. When an external pressure of 2.00 atm
is applied to the wire, the gas compresses from 4.40 to 2.20 L. When the external pressure is increased to 2.50 atm , the gas further compresses from 2.20 to 1.76 L .
In a separate experiment with the same initial conditions, a pressure of 2.50 atm
was applied to the ideal gas, decreasing its volume from 4.40 to 1.76 L
in one step.
If the final temperature was the same for both processes, what is the difference between q for the two-step process and q for the one-step process in joules?
The difference between q for the two-step process and q for the one-step process is 220.38 joules.
To solve this problem, we use the first law of thermodynamics, which states that change in internal energy (ΔU) of system will be equal to the heat (q) added or removed from the system, minus the work (w) done by or on the system;
[tex]Δ_{U}[/tex] = q - w
For an ideal gas, the internal energy depends only on the temperature, so [tex]Δ_{U}[/tex] is zero if the final temperature is the same for both processes. Therefore, we can set [tex]Δ_{U}[/tex] to zero and solve for the difference in heat (q) between the two processes;
q(two-step) - q(one-step) = w(two-step) - w(one-step)
The work done by or on the gas can be calculated using the equation;
w = -P[tex]Δ_{V}[/tex]
where P is the external pressure, and [tex]Δ_{U}[/tex] is the change in volume. The negative sign indicates that work is done on the gas when it is compressed ([tex]Δ_{U}[/tex] < 0), and work is done by the gas when it expands ([tex]Δ_{U}[/tex] > 0).
For the two-step process, we can calculate the work done in two stages;
w(two-step) = -2.00 atm × (4.40 L - 2.20 L) - 2.50 atm × (2.20 L - 1.76 L)
= -3.32 atm L - 0.605 atm L
= -3.925 atm L
For the one-step process, we can calculate the work done in one step;
w(one-step) = -2.50 atm × (4.40 L - 1.76 L)
= -6.10 atm L
Substituting these values into the equation for the difference in heat, we get;
q(two-step) - q(one-step) = -3.925 atm L - (-6.10 atm L)
= 2.175 atm L
To convert this to joules, we need to multiply by the conversion factor for atm L to joules;
1 atm L = 101.3 J
Therefore; q(two-step) - q(one-step) = 2.175 atm L × 101.3 J/atm L
= 220.38 J
Therefore, the difference in heat between the two processes is 220.38 joules.
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What is the density of an unknown compound in g/ml if 1.28 pounds of the compound has a volume of 4.50L
Two samples of carbon come into contact. A heat transfer will occur between sample A and sample B. What must be true
for heat to transfer from sample A to sample B?
The average kinetic energy of A is greater than that of B.
The average kinetic energy of B is greater than that of A.
The average kinetic energy of both samples is equal.
The average kinetic energy does not determine the direction of heat transfer.
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Which of the following terms would you use to describe Mg²+. Select all that apply.
Subatomic particle
lon
Element
Molecule
The correct term to describe Mg²+ is "ion."
An ion is an atom or molecule that has gained or lost electrons, resulting in a positive or negative charge. In the case of Mg²+, it indicates that the magnesium atom has lost two electrons, leading to a positive charge of +2. The term "subatomic particle" refers to particles that are smaller than an atom, such as protons, neutrons, and electrons. While Mg²+ does involve subatomic particles (protons and electrons), the term itself is not directly applicable to Mg²+. The term "element" refers to a pure substance composed of only one type of atom. Magnesium (Mg) is an element, but Mg²+ specifically refers to the ionized form of the magnesium atom. The term "molecule" refers to a combination of two or more atoms held together by chemical bonds. Since Mg²+ is an ion and does not involve bonding with other atoms, it is not considered a molecule. Therefore, the correct term to describe Mg²+ is "ion."
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In a basic solution, IO3- reacts with CrO22- to produce CrO42- and iodide. How many mL
of a 0.45 M Na2CrO2 solution is needed to reduce 0.10 L of a 0.60 M KIO3 solution?
To decrease 0.10 L of a 0.60 M KIO₃ solution, 670 mL of 0.45 M Na₂CrO₂ solution are required.
The balanced chemical equation for the reaction is:
6 IO₃⁻ + 3 CrO₂²⁻ + 24 OH⁻ → 3 CrO₄²⁻ + 6 I⁻ + 12 H₂O
First, we need to determine the limiting reactant between KIO₃ and Na₂CrO₂. To do this, we can use the stoichiometry of the balanced equation to convert the number of moles of each reactant to the number of moles of CrO₂²⁻ required:
0.60 mol KIO₃ x (3 mol CrO₂²⁻ / 6 mol IO₃⁻) = 0.30 mol CrO₂²⁻
We can also calculate the number of moles of CrO₂²⁻ available in the Na₂CrO₂ solution using its concentration and volume:
0.45 mol/L x V(L) = 0.30 mol CrO₂²⁻
Solving for V, we get:
V = 0.30 mol / 0.45 mol/L = 0.67 L = 670 mL
Therefore, 670 mL of the 0.45 M Na₂CrO₂ solution is needed to reduce 0.10 L of a 0.60 M KIO₃ solution.
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