What is the molarity of a solution made by dissolving 2. 0 mol of solute in 6. 0 L of solvent?

The mass of the corresponding sodium salt of the conjugate base needed to make a buffer with a pH of 2.08.

To determine the mass of the corresponding sodium salt of the conjugate base needed to make a buffer with a pH of 2.08, you can follow these steps:

1. Identify the given information:
  - Initial volume of acid solution: 500 mL
  - Initial concentration of acid solution: 0.10 M
  - Desired pH: 2.08

2. Use the Henderson-Hasselbalch equation:
  pH = pKa + log ([conjugate base]/[acid])

3. Assuming the acid is a weak monoprotic acid (HA) and its conjugate base is A-, determine the pKa:
  pKa = pH - log ([A-]/[HA])

4. Calculate the ratio of [A-] to [HA]:
  [A-]/[HA] = 10^(pH-pKa)

5. Calculate the moles of HA in the 500 mL of 0.10 M solution:
  moles of HA = (volume x concentration) = 500 mL x 0.10 mol/L = 0.050 mol

6. Calculate the moles of A- needed:
  moles of A- = moles of HA x ([A-]/[HA]) ratio

7. Determine the molar mass of the sodium salt of the conjugate base (A-) using the molecular formula.

8. Calculate the mass of the sodium salt of the conjugate base:
  mass = moles of A- x molar mass of A-

By following these steps, you will be able to determine the mass of the corresponding sodium salt of the conjugate base needed to make a buffer with a pH of 2.08.

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The mass of copper produced from the reaction of 357 L of H₂ gas with CuO at STP is 949 g.

Using the ideal gas law equation PV = nRT, Pressure is P, temperature is T, gas constant is R, volume is V and moles are n. From the balanced chemical equation, we know that 1 mole of Cu reacts with 1 mole of H₂.

1. The mass of Cu produced is equal to the number of moles of Cu times its molar mass since copper has a molar mass of 63.55 g/mol. Therefore, the steps to solve the problem are,

Convert the volume to liters,

357 L

Calculate the number of moles of H₂ using the ideal gas law:

PV = nRT

(1 atm) (357 L) = n (0.0821 L·atm/mol·K) (273 K)

n = 14.94 mol

2. Calculate the number of moles of Cu based on the balanced chemical equation,

1 mole Cu : 1 mole H₂

14.94 mol H₂ : x mole Cu

x = 14.94 mol

3. Calculate the mass of Cu produced:

m = n × M, mass in grams is m, the number of moles is n, the molar mass of Cu is M.

M(Cu) = 63.55 g/mol

m = 14.94 mol × 63.55 g/mol

m = 949 g

Therefore, the mass of copper produced is 949 g.

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If the decomposition of hydrogen peroxide into water and oxygen gas is an exothermic reaction, we would expect the final temperature to be lower than the initial temperature of 28˚C.

This is due to the fact that energy is released from the system during an exothermic reaction in the form of heat into the surroundings. In other words, the energy of the reactants is more than that of the products, and the excess energy is released into the environment.

As a result, the environment's temperature will rise, while the system's temperature will fall. This indicates that the reaction's final temperature will be lower than its 28° C starting point.

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Paleontologists use a variety of methods to determine the placement of a fossil for display. One important factor is the diagnostic structure of the fossil, which refers to unique features that help to identify the species and its evolutionary relationships. For example, if a fossil has a particular shape or pattern on its shell, this could indicate a specific genus or species.

To accurately place a fossil for display, paleontologists will carefully examine its diagnostic structures and compare them to other specimens in their collection or in published research. They may also consult with experts in the field or use advanced imaging techniques to better understand the fossil's characteristics.

Once the paleontologists have identified the species and determined its placement, they can design a display that showcases the fossil in a way that is both educational and visually appealing. This may involve creating a custom mount or exhibit case, selecting appropriate lighting and text labels, and considering the context in which the fossil was found.

Overall, the accurate placement of a fossil for display is crucial for conveying its scientific significance to the public and helping people to better understand the history of life on Earth. By using diagnostic structure as a key tool in this process, paleontologists can ensure that the fossils are correctly identified and presented in a way that is both informative and engaging.

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The answer to the multistep calculation, expressed using the appropriate number of significant figures, is 24.3 feet.

In order to determine the appropriate number of significant figures in the answer, we need to follow the rules of significant figures for addition and subtraction.

When adding or subtracting numbers, the answer should be rounded to the same number of decimal places as the measurement with the least number of decimal places.

Here, the measurement with the least number of decimal places is 10.0 feet, which has one decimal place. Therefore, we should round the final answer to one decimal place as well.

Now, let's perform the calculation:

87.95 feet x 0.277 feet + 5.02 feet - 1.348 feet + 10.0 feet = 24.3108725 feet

Rounding to one decimal place, the final answer is:

24.3 feet

Therefore, the answer to the multistep calculation, expressed using the appropriate number of significant figures, is 24.3 feet.

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Approximately 148.8 g of KNO₃ is needed to create a saturated solution at 60°C in 240.0 mL of distilled water.

The mass of KNO₃ needed to create a saturated solution at 60°C in 240.0 mL of distilled water depends on the solubility of KNO₃ at that temperature.

The solubility of KNO₃ in water increases with temperature. At 60°C, the solubility of KNO₃ is approximately 62 g per 100 mL of water.

Thus, the quantity of KNO₃ required to form a saturated solution in 240.0 mL of water can be determined using the following procedure.:

Mass of KNO₃ = (62 g/100 mL) x (240.0 mL) = 148.8 g

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A total of 0.0103 moles of barium phosphate will react with 1.60 g of aluminum hydroxide.

The balanced chemical equation for the reaction between barium phosphate and aluminum hydroxide is:

Ba₃(PO₄)₂ + 2 Al(OH)₃ → 2 AlPO₄ + 3 Ba(OH)₂

To calculate the moles of barium phosphate that will react with 1.60 g of aluminum hydroxide, we need to convert the given mass of aluminum hydroxide into moles using its molar mass:

Molar mass of Al(OH)₃ = 78 g/mol

Number of moles of Al(OH)₃ = 1.60 g / 78 g/mol = 0.0205 mol

According to the balanced chemical equation, 2 moles of Al(OH)3 react with 1 mole of Ba3(PO4)2. Therefore, the number of moles of Ba₃(PO₄)₂ required can be calculated as:

Number of moles of Ba₃(PO₄)₂ = (0.0205 mol Al(OH)₃) / 2 = 0.0103 mol

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2.4453  ×  10⁹ KJ energy was evolved  when the total volume of hydrogen gas needed to fill the hindenburg was 2.09 × 10⁸ l at 1.00 atm and 25.1°

According to the given data,  

Volume of the hydrogen gas = 2.09 × 10⁸ L

Pressure of the gas = P = 1 atm

Temperature of the gas =T = 25.1 °C =298.1 K

We know that, for an ideal gas equation

PV=nRT

1 atm ×2.09 × 10⁸ L = n × 0.0820 atmL/molK × 298.1 K

⇒n = 1 atm ×2.09 × 10⁸ L/  0.0820 atmL/molK × 298.1 K

⇒n = 0.0855 ×10⁸ mol

ΔH for hydrogen gas is =-286 kJ/mol

For  0.0855 ×10⁸ mol energy evolved when hydrogen gas is burned =

0.0855 ×10⁸ mol × (-286 KJ/mol) = -2.4453  ×  10⁹ KJ

Therefore, 2.4453  ×  10⁹ KJ energy was evolved when it was burned.

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The complete question is-

The total volume of hydrogen gas needed to fill the hindenburg was 2.09 × 108 l at 1.00 atm and 25.1°. how much energy was evolved when it burned?

The pH of the resulting solution is about 0.33.

To determine the pH of the resulting solution when 50.0 mL of 0.75 M HI solution is added to 0.027 L of a 0.05 M KOH solution, we first need to find the moles of each reactant and then determine the concentration of the remaining ions.

1. Calculate moles of HI:
Volume (L) = 50.0 mL × (1 L / 1000 mL) = 0.050 L
Moles of HI = Volume (L) × Molarity = 0.050 L × 0.75 M = 0.0375 mol

2. Calculate moles of KOH:
Moles of KOH = Volume (L) × Molarity = 0.027 L × 0.05 M = 0.00135 mol

3. Determine the limiting reactant and the amount of remaining ions:
Since HI is a strong acid and KOH is a strong base, they will react completely in a 1:1 ratio. KOH is the limiting reactant, and there will be a remaining amount of HI.

Moles of remaining HI = Moles of HI - Moles of KOH = 0.0375 mol - 0.00135 mol = 0.03615 mol

4. Calculate the concentration of remaining H+ ions:
Total volume of the solution = 0.050 L (HI) + 0.027 L (KOH) = 0.077 L
Concentration of H+ ions = Moles of remaining HI / Total volume = 0.03615 mol / 0.077 L = 0.469 M

5. Determine the pH of the solution:
pH = -log10([H+]) = -log10(0.469) ≈ 0.33

The pH of the resulting solution is approximately 0.33.

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CO is made up of carbon (C) and oxygen (O) that are covalently bound and share electrons to create a molecule. To determine a molecule's electron domain shape, we count the number of electron domains surrounding the core atom.

An electron domain can be a bond pair or a single electron pair.

The central atom in CO is carbon, which is double-bonded to oxygen. As a result, the carbon atom has two electron domains: one from the double bond with oxygen and one from the two lone pairs of electrons on oxygen.

As a result, CO contains two electron domains surrounding the center carbon atom.

CO, as a result of the double bond with oxygen and two lone pairs of electrons on oxygen, has two electron domains surrounding its center carbon atom.

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The complete combustion of one gallon of gasoline containing 2370.0 grams of octane produces 6888.2 grams of carbon dioxide.

In 2017, people in the US generated approximately 9.85 x 10¹⁴ grams of carbon dioxide by burning 143 billion gallons of gasoline.



1. Write the balanced chemical equation for the combustion of octane:
  2C₈H₁₈ + 25O₂ → 16CO₂ + 18H₂O

2. Determine the molecular weight of octane (C₈H₁₈) and carbon dioxide (CO₂):
  C₈H₁₈: (8 x 12.01) + (18 x 1.01) = 114.23 g/mol
 CO₂: (1 x 12.01) + (2 x 16.00) = 44.01 g/mol

3. Use stoichiometry to find the grams of CO₂ produced from the combustion of 2370.0 grams of octane:
  (2370.0 g octane) x (16 mol CO₂/ 2 mol octane) x (44.01 g CO₂ / mol CO₂) = 6888.2 g CO₂

4. Calculate the total grams of CO₂ generated by burning 143 billion gallons of gasoline in the US in 2017:
  (143 billion gallons) x (6888.2 g CO₂ / gallon) = 9.85 x 10¹⁴ grams of CO₂

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To calculate the shear stress required to deform benzene at a velocity gradient of 4900 s-1, we can use the equation:

Shear stress = viscosity x velocity gradient

Plugging in the given values, we get:

Shear stress = 0.000651 Pa. S x 4900 s-1

Shear stress = 3.19 Pa

Therefore, a shear stress of 3.19 Pa is required to deform benzene at a velocity gradient of 4900 s-1.

What is Shear stress?

Shear stress is a type of stress that occurs when a force is applied parallel to a surface or along a plane within a material. It is the result of the force causing the material to deform or change shape, with one part of the material sliding or shearing over another part.

Shear stress is often described in terms of the shear force per unit area, or shear strength, that is required to cause the material to shear or deform. The unit of measurement for shear stress is typically in pascals (Pa) or pounds per square inch (psi).

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The Ksp of a substance is the equilibrium constant for the reaction between the dissolved ions and the undissolved solid. In this case, the equation is M₂+(aq) + 2OH-(aq) ↔ M(OH)₂(s).

Knowing the volume of HCl required for the titration (25.10 mL) and the molarity of the HCl (0.173 M), the concentration of M₂+ and OH- ions in the saturated solution can be calculated. The Ksp can then be calculated using the concentration of M₂+ and OH- ions in the solution.

The Ksp can be expressed as Ksp = [M₂+][OH]⁻². To calculate the Ksp, the molarity of the HCl solution is multiplied by the volume used in the titration (25.10 mL) to get the moles of HCl used (4.35 x 10⁻³mol). This number is then divided by the volume of the saturated solution (28.5 mL) to get the concentration of M₂+ (1.53 x 10-2 M) and OH- (3.06 x 10⁻² M).

Finally, the Ksp can be calculated using the concentrations of M₂+ and OH- ions: Ksp = [1.53 x 10⁻²][3.06 x 10⁻²]2 = 4.94 x 10⁻⁵. Thus, the Ksp for this alkaline earth hydroxide is 4.94 x 10-5.

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The volume of the fruit drink comes out to be 0.712 L which is calculated in the below section.

Using the dilution law,

M1 V1 = M2 V2......(1)

Here, M represents the molarity and V represents the volume.

The given parameters are as follows-

M1 = 0.2 M

V1 = 2.5 L

M2  = 0.7 M

To calculate the volume of the fruit drink after dilution, substitute the known values in equation (1) as follows-

0.2 M x 2.5 L = 0.7 M x V2

V2 = (0.2 M x 2.5 L) / 0.7 M

    = 0.5 / 0.7 L

     = 0.7142 L

The volume comes out to be 0.712 L.

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Answer:

388.88 mmHg (2 d.p.)

Explanation:

To find the final pressure when the volume is kept constant, we can use Gay-Lussac's law.

[tex]\boxed{\sf \dfrac{P_1}{T_1}=\dfrac{P_2}{T_2}}[/tex]

where:

The values to substitute into the equation are:

Substitute the values into the equation and solve for P₂:

[tex]\implies \sf \dfrac{P_1}{T_1}=\dfrac{P_2}{T_2}[/tex]

[tex]\implies \sf \dfrac{745}{523 }=\dfrac{P_2}{273}[/tex]

[tex]\implies \sf P_2=\dfrac{745 \cdot 273}{523 }[/tex]

[tex]\implies \sf P_2=\dfrac{203385}{523 }[/tex]

[tex]\implies \sf P_2=388.88145315...[/tex]

[tex]\implies \sf P_2=388.88\;mmHg\;(2\;d.p.)[/tex]

Therefore, the final pressure would be 388.88 mmHg if a gas is cooled from 523 K to 273 K and the volume is kept constant, starting with an initial pressure of 745 mmHg.

The boiling points of the hydrocarbons can be ranked as follows;

1. 4

2. 2

3. 3

4. 1

The size of the molecules and the nature of the intermolecular interactions between the molecules essentially determine the boiling points of hydrocarbons.

Because they have more electrons and a larger surface area available for intermolecular interactions like Van der Waals forces, larger hydrocarbon molecules typically have higher boiling points.

Additionally, polar hydrocarbons and those that can form hydrogen bonds have higher boiling points than non-polar hydrocarbons because of stronger intermolecular forces.

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In building a brand new city in America without using coal or gas, I would choose to use fission nuclear reactors over fusion nuclear reactors.

The reason behind choosing fission nuclear reactors is that they are currently more developed and widely used in practice than fusion nuclear reactors.

Fission reactors have proven their efficiency and safety in generating power for decades.

Fusion nuclear reactors, while having the potential for greater energy output and fewer radioactive waste issues, are still in the experimental stage and not yet commercially viable.

As a city planner, it's crucial to prioritize reliable and established energy sources for the city's needs. Therefore, using fission nuclear reactors would be a more feasible and practical choice for powering a new city in America.

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Answer:

[tex]\huge\boxed{\sf T_2=100.3 \ K}[/tex]

Explanation:

Volume 1 = [tex]V_1[/tex] = 3.00 L

Volume 2 = [tex]V_2[/tex] = 1.00 L

Temperature 1 = [tex]T_1[/tex] = 28 °C + 273 = 301 K

Temperature 2 = [tex]T_2[/tex] = ?

[tex]\displaystyle \frac{V_1}{T_1} = \frac{V_2}{T_2}[/tex] (Charles Law)

Put the given data in the above formula.

[tex]\displaystyle \frac{3.00}{301} = \frac{1.00}{T_2} \\\\Cross \ Multiply\\\\3 \times T_2=301 \times 1\\\\3T_2= 301\\\\Divide \ both \ sides \ by \ 3\\\\T_2=301/3\\\\T_2=100.3 \ K\\\\\rule[225]{225}{2}[/tex]

According to the question 19.2 liters of NH3 at 32.6°C and 4.25 kPa is required to react completely with 30.0L of NO at STP.

STP (Standard Temperature and Pressure) is an important concept in the physical sciences. It is the reference state for temperature and pressure in which most measurements are made. In chemistry, STP is used as a reference state for calculating the physical properties of various substances. It is also used in thermodynamics to calculate the physical state of a system. STP is defined as 0 °C (273.15 K) and a pressure of 1 atmosphere (101.325 kPa).

According to the balanced equation, for every 6 moles of NO, 5 moles of NH3 is required. Therefore, we need to calculate the number of moles of NO first.

1 mole of gas at STP occupies 22. 4 liters, so 30.0 liters of NO at STP is equal to 30.0/22.4 = 1.34 moles of NO.

Since we need 5 moles of NH3 for every 6 moles of NO, we need 5/6 x 1.34 = 1.12 moles of NH3.

At 32.6°C and 4.25 kPa, 1 mole of NH3 occupies 17.1 liters, so 1.12 moles of NH3 is equal to 1.12 x 17.1 = 19.2 liters of NH3.

Therefore, 19.2 liters of NH3 at 32.6°C and 4.25 kPa is required to react completely with 30.0L of NO at STP.

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71.875 grams of NO2 can be produced when 25.0 g of oxygen reacts in this reaction.

When 25.0 grams of oxygen reacts, the amount of NO2 produced can be determined by using stoichiometry. The balanced chemical equation for the reaction is:

2 NO + O2 → 2 NO2

From the equation, it can be seen that for every one mole of O2, two moles of NO2 are produced. Therefore, the first step is to convert the given mass of oxygen into moles. The molar mass of oxygen is 32 g/mol, so:

25.0 g O2 ÷ 32 g/mol = 0.78125 mol O2

Since the stoichiometry of the reaction shows that two moles of NO2 are produced for every one mole of O2, the next step is to calculate the number of moles of NO2 produced:

0.78125 mol O2 × 2 mol NO2/1 mol O2 = 1.5625 mol NO2

Finally, the mass of NO2 can be calculated by multiplying the number of moles of NO2 by its molar mass, which is 46 g/mol:

1.5625 mol NO2 × 46 g/mol = 71.875 g NO2

Therefore, 71.875 grams of NO2 can be produced when 25.0 g of oxygen reacts in this reaction.

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The number of moles of hydrogen gas needed is 0.213 moles, under the condition that their is a necessity of reacting 15.1g of chlorine gas to produce hydrogen chloride gas.


Here the balanced chemical equation for the reaction  regarding hydrogen gas and chlorine gas in the process of producing hydrogen chloride gas is
H₂(g) + Cl₂(g) → 2HCl(g)

The given molar mass of chlorine gas is 70.9 g/mol.
Now to evaluate the number of moles of chlorine gas in 15.1 g of chlorine gas,
We need to divide the mass by the molar mass

Number of moles of chlorine gas = Mass of chlorine gas / Molar mass of chlorine gas
= 15.1 g / 70.9 g/mol
= 0.213 mol

Then, from the balanced chemical equation, we can interpret that 1 mole of hydrogen gas reacts with 1 mole of chlorine gas to produce 2 moles of hydrogen chloride gas.
Hence, to calculate the number of moles of hydrogen gas required to react with 15.1 g of chlorine gas,

1 mol H₂ / 1 mol Cl₂ = x mol H₂ / 0.213 mol Cl₂

Evaluating for x,
x = (1 mol H₂ / 1 mol Cl₂) × (0.213 mol Cl₂)
= 0.213 mol H₂
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17.43 grams of NH₃ will produce 34.39 liters of water.

The balanced chemical equation is 4 NH₃ + 5O₂ → 4NO + 6H₂O. From the equation, we can see that for every 4 moles of NH₃ reacted, 6 moles of water are produced.

Therefore, to determine the number of moles of water produced, we need to convert the mass of NH₃ given to moles. The molar mass of NH₃ is 17.03 g/mol, so:

17.43 g NH₃ × (1 mol NH₃/17.03 g NH₃) = 1.023 mol NH₃

Using stoichiometry, we can calculate the number of moles of water produced:

1.023 mol NH₃ × (6 mol H₂O/4 mol NH₃) = 1.5345 mol H₂O

Finally, we can convert the number of moles of water to liters using the fact that 1 mole of any gas at standard temperature and pressure (STP) occupies 22.4 L:

1.5345 mol H₂O × (22.4 L/mol) = 34.39 L

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An exothermic reaction is spontaneous if the overall Gibbs free energy change (ΔG) is negative, indicating that the reaction is energetically favorable and will proceed without an external energy input. However, an exothermic reaction can become non-spontaneous under certain circumstances.

One such circumstance is when the entropy change (ΔS) is negative. If ΔH is negative (exothermic) but ΔS is also negative (decrease in disorder), the value of ΔG could still be positive (non-spontaneous) or close to zero (at equilibrium) at temperatures where ΔH is not sufficiently large to overcome the negative ΔS.

This means that even though energy is released during the reaction, the decrease in disorder can make the reaction unfavorable.

Another circumstance is when the reactants are in a highly ordered or low-energy state, and the products are in a highly disordered or high-energy state. In such cases, the enthalpy change (ΔH) may be negative (exothermic), but the entropy change (ΔS) is also positive, and the resulting ΔG value may still be positive, making the reaction non-spontaneous.

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The pressure of the Hydrogen gas sample is approximately 29.4 atm.

To find the pressure of the 4.25 moles of Hydrogen gas at 20.0°C and occupying a volume of 25.0 L, we can use the ideal gas law formula: PV = nRT, where P is pressure, V is volume, n is the number of moles, R is the ideal gas constant (8.314 J/mol·K), and T is the temperature in Kelvin.

First, convert the temperature to Kelvin: 20.0°C + 273.15 = 293.15 K.

Now, rearrange the formula to solve for pressure: P = nRT/V

Substitute the values: P = (4.25 moles) × (8.314 J/mol·K) × (293.15 K) / (25.0 L)

Calculate the pressure: P ≈ 3921.2 J/L

Since 1 J/L = 0.00750062 atm, convert the pressure to atm: P ≈ 3921.2 J/L × 0.00750062 atm/J·L ≈ 29.4 atm

So, the pressure of the Hydrogen gas sample is approximately 29.4 atm.

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31.45 g of dilute trioxonitrate (V) acid containing 10% W/W of pure acid will be required to dissolve 2.5 g of chalk.

We need to use balanced chemical equation of the reaction between calcium carbonate and trioxonitrate (V) acid to determine the number of moles of acid required to dissolve 2.5 g of chalk.

[tex]CaCO_3 + 2HNO_3 → Ca(NO_3)_2 + CO_2 + H_2O[/tex]

From the equation, one mole of [tex]CaCO_3[/tex] reacts with two moles of [tex]HNO_3[/tex]. The molar mass of CaCO3 is 100.09 g/mol.

[tex]Number\ of\ moles\ of\ CaCO_3 = 2.5 g / 100.09 g/mol = 0.02498 mol[/tex]

[tex]Number\ of\ moles\ of HNO_3 = 2 * 0.02498 = 0.04996 mol[/tex]

Now, we can calculate the mass of dilute trioxonitrate (V) acid containing 10% W/W of pure acid required to provide 0.04996 mol of [tex]HNO_3[/tex].

Assuming the density of the dilute trioxonitrate (V) acid is 1.1 g/cm3, the mass of the acid required will be:

[tex]Mass\ of\ acid = (0.04996 mol * 63.01 g/mol) / 0.1 = 31.45 g[/tex]

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The student incorrectly calculated the mass of the sample of pyrite by assuming the density of pyrite to be 2 g/cm³, which is actually the density of water. The actual density of pyrite is about 5 g/cm³, so the actual mass of the 10 cm³ sample would be 50 g.

The student likely confused the concept of density, which is the mass per unit volume of a substance, with the specific gravity, which is the ratio of the density of a substance to the density of water.

Pyrite has a specific gravity of about 5, meaning that its density is about 5 times greater than that of water. Therefore, the mass of a 10 cm³ sample of pyrite would be 5 times greater than the mass of a 10 cm³ sample of water, or 50 g.

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The metal spoon is hotter than the wooden spoon due to its higher mass,

Heat is the energy transferred from one body to another due to a temperature difference. The amount of heat transferred is proportional to the mass of the object and its specific heat capacity. Specific heat capacity is the amount of heat required to raise the temperature of one unit mass of the substance by one degree Celsius.

In this scenario, the two spoons are of equal size, but the metal spoon has a higher mass and specific heat capacity compared to the wooden spoon. When both spoons are placed in the boiling water, heat flows from the water to the spoons until they reach the same temperature as the water.

However, due to the higher mass and specific heat capacity of the metal spoon, it requires more heat energy to raise its temperature compared to the wooden spoon. As a result, the metal spoon takes a longer time to reach the same temperature as the wooden spoon.

Additionally, metals are better conductors of heat compared to wood. Therefore, the metal spoon conducts the heat more efficiently from the boiling water to the handle, making it hotter than the wooden spoon.

Overall, the metal spoon is hotter than the wooden spoon due to its higher mass, higher specific heat capacity, and better heat conduction properties. This is why it would be more painful to grab.

The temperature of this 282.8 g copper sample changed by approximately 6.78 degrees Celsius.

To find the temperature change of a 282.8 g sample of copper that releases 175.1 calories of heat with a specific heat capacity of 0.092 cal/(g·°C), we can use the following formula:
q = mcΔT

where:
q = heat released (calories)
m = mass of the sample (grams)
c = specific heat capacity (cal/(g·°C))
ΔT = temperature change (°C)

Step 1: Plug in the given values into the formula.
175.1 = (282.8)(0.092)(ΔT)

Step 2: Solve for ΔT.
ΔT = 175.1 / (282.8× 0.092)

Step 3: Calculate the value of ΔT.
ΔT ≈ 6.78 °C

So, the temperature of this 282.8 g copper sample changed by approximately 6.78 degrees Celsius.

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In any chemical or physical change, energy cannot be created or destroyed, only transformed in form.

option C.

The first law of thermodynamics is known as the law of Conservation of Energy.

This law states that energy can neither be created nor destroyed but can be converted from one form to another.

So the first law of thermodynamics is not known as the "Law of Conservation of Mass", but rather as the "Law of Conservation of Energy".

The statement that best corresponds to the first law of thermodynamics is option C: "In any chemical or physical change, energy cannot be created or destroyed, only transformed in form."

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1.21 grams of hydrogen are required to produce 0.6 moles of methane (CH₄) in the given reaction.

The given reaction is:

C + 2H₂ → CH₄

We can see that 2 moles of hydrogen (H₂) are required to produce 1 mole of methane (CH₄) according to the balanced chemical equation. Therefore, to produce 0.6 moles of methane, we will need 2 times as many moles of hydrogen, which is:

number of moles of hydrogen = 2 × number of moles of methane

number of moles of hydrogen = 2 × 0.6 moles

number of moles of hydrogen = 1.2 moles

To convert the number of moles of hydrogen to grams, we need to use the molar mass of hydrogen, which is approximately 1.008 g/mol. Thus, the mass of hydrogen required can be calculated as:

mass of hydrogen = number of moles of hydrogen × molar mass of hydrogen

mass of hydrogen = 1.2 moles × 1.008 g/mol

mass of hydrogen = 1.21 g

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The complete question is:

For the reaction C+2H₂ → CH₄, how many grams of hydrogen are required to produce 0.6 moles of methane, CH₄?