Form a hypothesis You are cleaning out a cabinet beneath the kitchen sink and find an unused steel wool scrub pad has rusted completely. Will the remains of this pad weigh more or less than when it was new?

The mass in grams of 3.45 x 10E24 atoms of carbon is 68.93 g.

To find the mass in grams of 3.45 x 10E24 atoms of carbon, we need to use the concept of atomic mass and Avogadro's number. The atomic mass of carbon is 12.01 g/mol, which means that one mole of carbon contains 6.022 x 10E23 atoms. This is known as Avogadro's number.

So, to find the mass of 3.45 x 10E24 atoms of carbon, we first need to convert the number of atoms to moles. We do this by dividing the given number of atoms by Avogadro's number:

3.45 x 10E24 atoms / 6.022 x 10E23 atoms/mol = 5.74 moles

Next, we can use the molar mass of carbon to find the mass of 5.74 moles of carbon:

5.74 moles x 12.01 g/mol = 68.93 g

Therefore, the mass in grams of 3.45 x 10E24 atoms of carbon is 68.93 g.

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When 500 gm of KO2 reacts with excess H2O, 112.6 gm of O2 can be formed.

In order to determine the mass of O2 formed from the reaction of KO2 with excess H2O, we'll need to use stoichiometry. First, let's write down the balanced chemical equation:

2 KO2 + 2 H2O → 2 KOH + H2O2 + O2

Now, let's follow these steps:
1. Convert the given mass of KO2 (500.0 g) to moles using its molar mass (71.10 g/mol):
  (500.0 g KO2) × (1 mol KO2 / 71.10 g KO2) = 7.03 mol KO2

2. From the balanced equation, we can see that 2 moles of KO2 produce 1 mole of O2. So, we'll convert the moles of KO2 to moles of O2:
  (7.03 mol KO2) × (1 mol O2 / 2 mol KO2) = 3.52 mol O2

3. Convert the moles of O2 to mass using its molar mass (32.00 g/mol):
  (3.52 mol O2) × (32.00 g O2 / 1 mol O2) = 112.6 g O2

Therefore, when 500.0 g of KO2 reacts with excess H2O, 112.6 g of O2 can be formed.

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Answer:

Temperature

Agitation

Particle size

Explanation:

The freezing point of the solution is -0.3462 °C. When, 2. 50 grams of sodium chloride are added to 230. 0 mL of water.

To calculate the freezing point of the solution, we use the freezing point depression equation;

[tex]ΔT_{f}[/tex] = [tex]K_{f.m}[/tex]

where [tex]ΔT_{f}[/tex] is the change in freezing point, [tex]K_{f}[/tex] is the freezing point depression constant of water (1.86 °C/m), and m is the molality of the solution.

First, we calculate the molality (m) of the solution;

Molar mass of NaCl = 58.44 g/mol

Number of moles of NaCl = 2.50 g / 58.44 g/mol

= 0.0428 mol

Mass of water=230.0 mL x 1.00 g/mL

= 230.0 g

molality (m) = 0.0428 mol / 0.230 kg

= 0.186 mol/kg

Now we can plug in the values into the freezing point depression equation;

[tex]ΔT_{f}[/tex] = 1.86 °C/m x 0.186 mol/kg = 0.3462 °C

The freezing point of pure water is 0 °C, so the freezing point of the solution is;

Freezing point = 0 °C - 0.3462 °C

= -0.3462 °C

Therefore, the freezing point of the solution is -0.3462 °C.

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Since Q is less than K, the reaction will proceed towards products to reach equilibrium. So, the correct option is the reaction is not at equilibrium and it will proceed toward the products.

When the rates of forward and reverse reactions are equal, equilibrium is the condition where there is no overall change in the concentrations of reactants and products. When a system is in equilibrium, the concentrations of all reactants and products are constant over time, and the system appears to be in a state of rest. An equilibrium constant [tex](K_e_q)[/tex], which represents the ratio of the concentrations of products to reactants at equilibrium for a reaction, can be used to characterize the state of equilibrium.

Therefore, the correct option is B.

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The fact that the rate of the reaction between NO₂ and CO is independent of [CO] does not necessarily mean that CO is a catalyst for the reaction.

A catalyst is a substance that increases the rate of a reaction without being consumed in the reaction itself. In this case, if CO were a catalyst, it would be expected that the rate of the reaction would increase with increasing CO concentration. However, the fact that the rate of the reaction is independent of [CO] suggests that CO is not acting as a catalyst.

Instead, this result suggests that the reaction is not dependent on the concentration of CO, and that the reaction is likely to be a second-order reaction with respect to NO₂. This means that the rate of the reaction is determined by the concentrations of both NO₂ and CO, but the rate is not affected by the concentration of CO itself. Therefore, CO is not acting as a catalyst in this reaction.

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The molar concentration of SO4^2- anions in the solution is about 3.867 M.

To answer your question, first we need to write the balanced net ionic equation:

Cr^2+(aq) + Cu^2+(aq) → Cr^3+(aq) + Cu(s)

Now, we need to determine the number of moles of Cr(NO3)2 and CuSO4:

Cr(NO3)2: 33.6 g / (130.87 g/mol) = 0.257 moles
CuSO4: 60.5 g / (159.61 g/mol) = 0.379 moles

From the balanced net ionic equation, we can see that 1 mole of Cr^2+ reacts with 1 mole of Cu^2+. Since we have more moles of Cu^2+ than Cr^2+, Cr^2+ is the limiting reagent.

Now, let's calculate the number of electrons transferred:

Since each Cr^2+ ion loses one electron, the number of electrons transferred is equal to the number of moles of Cr^2+ ions:
0.257 moles * 1e- = 0.257e-

Since we need the smallest whole-number coefficients, we'll multiply by the lowest common denominator (LCD) to make the number of electrons a whole number. The LCD for 0.257 is 7, so we'll multiply the entire equation by 7:

7Cr^2+(aq) + 7Cu^2+(aq) → 7Cr^3+(aq) + 7Cu(s)

Therefore, the number of electrons transferred is:
0.257e- * 7 = 1.799e- ≈ 2e-
So the correct answer is 2e-.

(Part 2) To find the molar concentration of SO4^2- anions in the solution, we need to use the moles of CuSO4 and the volume of the solution:

0.379 moles / 0.098 L = 3.867 M

The molar concentration of SO4^2- anions in the solution is approximately 3.867 M.

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When the volume of neon gas is 2.07 L, 22.4 L of ounce (p) at 303 K and 1.2 atm will have the same number of molecules as neon gas at 303 K and 12 atm.

To solve this problem, we can use the ideal gas law equation:

PV = [tex]nRT[/tex], where P is the pressure, V is the volume, n is the number of moles, R is the gas constant, and T is the temperature.

First, we need to find the number of moles of neon gas at 303K and 12 atm. We can use the equation PV = [tex]nRT[/tex] and rearrange it to solve for n: n = PV/RT. Plugging in the values, we get:
[tex]n = (12 atm)(22.4 L)/(0.0821 L*atm/mol*K)(303 K)[/tex]
n = 12.04 mol

So, neon gas at 303K and 12 atm has 12.04 moles.
Now, we need to find the volume of oz (p) at 303K and 1.2 atm that has the same number of molecules. We can use the equation n = N/NA, where N is the number of molecules and NA is Avogadro's number (6.022 x 10^23). Rearranging the equation to solve for V, we get:

V = [tex]nRT[/tex]/P
[tex]V = (12.04 mol)(0.0821 L*atm/mol*K)(303 K)/(1.2 atm)[/tex]
V = 249.5 L

Therefore, at 303K and 1.2 atm, 22.4 L of oz (p) has the same number of molecules as neon gas at 303K and 12 atm when the volume is 249.5 L.

To solve this problem, we'll use the Ideal Gas Law equation, PV=[tex]nRT[/tex], where P is pressure, V is volume, n is the number of moles, R is the gas constant, and T is temperature.

First, let's find the number of moles of the given gas, oz (p):
P1 = 1.2 atm
V1 = 22.4 L
T1 = 303 K
R = 0.0821 L atm/mol K (Ideal Gas Constant)

1.2 atm * 22.4 L = n * 0.0821 L atm/mol K * 303 K
n = (1.2 * 22.4) / (0.0821 * 303) = 1 mol

Now, let's find the volume (V2) of neon gas at the given conditions:
P2 = 12 atm
T2 = 303 K
n2 = 1 mol (since we want the same number of molecules)

12 atm * V2 = 1 mol * 0.0821 L atm/mol K * 303 K
V2 = (1 * 0.0821 * 303) / 12 = 2.07 L

Thus, 22.4 L of oz (p) at 303 K and 1.2 atm will have the same number of molecules as neon gas at 303 K and 12 atm when the volume of neon gas is 2.07 L.

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Answer:

Answer: B. 1

Explanation:

I hope this helps you

The calories of heat transferred by the sample were 1526.06.

The amount of heat transferred by the sample can be calculated using the equation
Q = m x c x ΔT

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

Substituting the values:
Q = 983.6 g x 0.049 cal/(g·°C) x 31.51 °C
Q = 1526.06 calories

So, the heat transferred by the 983.6 g sample of antimony with a temperature change of +31.51 °C is approximately 1526.06 calories. Specific heat capacity is a property of a material that describes the amount of heat required to raise the temperature of one gram of the material by one degree Celsius. This property can be used to calculate the amount of heat transferred during temperature changes.

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384.23 grams KNO₃ is equivalent to 3.8 moles of KNO₃.

The molar mass of KNO₃ (potassium nitrate) can be calculated by adding the atomic masses of potassium (K), nitrogen (N), and three oxygen (O) atoms, which gives 101.1 g/mol.

To find the mass of 3.8 moles of KNO₃, we can use the following formula:

Substituting the given values, we get:

Therefore, 384.18 g of KNO₃ is equivalent to 3.8 moles of KNO₃.

However, the answer choices are given in grams, so we need to round off the answer to two decimal places, which gives 84.23 g KNO₃ (rounded to two decimal places) as the correct answer.

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The root mean square velocity for N2 gas at 11.8 degrees Celsius is approximately 84.15 m/s.

Here's a step-by-step explanation:

1. Convert the given temperature from Celsius to Kelvin: 11.8 degrees Celsius + 273.15 = 284.95 K.

2. Recall the root mean square velocity (v_rms) formula for a gas:
v_rms = √(3RT/M), where R is the gas constant, T is the temperature in Kelvin, and M is the molar mass of the gas in kg/mol.

3. Identify the molar mass (M) of N2 gas. Nitrogen has an atomic mass of 14.0067, and since it's a diatomic molecule (N2), we have to multiply that by 2: 14.0067 * 2 = 28.0134 g/mol. Convert this to kg/mol: 28.0134 / 1000 = 0.0280134 kg/mol.

4. Substitute the given values into the formula:
v_rms = √(3 * 8.3145 J K^-1 mol^-1 * 284.95 K / 0.0280134 kg/mol).

5. Solve for v_rms:
v_rms = √(3 * 8.3145 * 284.95 / 0.0280134) ≈ √(7082.04098) ≈ 84.15 m/s.

So, the root mean square velocity for N2 gas at 11.8 degrees Celsius is approximately 84.15 m/s.

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Answer:

The balanced chemical equation is:

2As2O3 + 3C → 3CO2 + 4As

To find out how many grams of carbon dioxide can be produced, we need to use stoichiometry.

First, we need to determine which reactant is limiting. We can do this by calculating the amount of carbon that reacts with As2O3:

1.00 g C × (1 mol C / 12.01 g) × (2 mol As2O3 / 3 mol C) × (197.84 g As2O3 / 1 mol As2O3) = 2.60 g As2O3

This means that only 2.60 g of the As2O3 will react, and the rest will be in excess.

Now we can use the balanced equation to calculate the amount of CO2 that will be produced:

2 mol As2O3 : 3 mol CO2

2.60 g As2O3 × (1 mol As2O3 / 197.84 g) × (3 mol CO2 / 2 mol As2O3) × (44.01 g CO2 / 1 mol CO2) = 3.56 g CO2

Therefore, 3.56 grams of carbon dioxide can be produced.

According to the law of conservation of mass, the total mass of the reactants in a chemical reaction is equal to the total mass of the products.

This means that the mass of the reactants before the reaction is the same as the mass of the products after the reaction. In other words, mass is neither created nor destroyed during a chemical reaction, it is only transformed from the reactants into the products.

Therefore, the masses of the reactants and the products in a chemical reaction are directly related and must balance each other. This relationship is fundamental in chemistry and is used to calculate the amount of reactants and products in a chemical reaction, as well as to predict the outcome of the reaction.

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The molar mass of the unidentified gas is 40.06 g/mol.

To calculate the molar mass of the gas, we can use the ideal gas law, PV=nRT, where P is the pressure, V is the volume, n is the number of moles, R is the gas constant, and T is the temperature.

We can rearrange this equation to solve for the number of moles:

n = PV/RT

We can then use the definition of density, d = m/V, where m is the mass, to solve for the mass of the gas:

m = dV

We can substitute these expressions into the equation for n:

n = (dV)P/RT

We can then use the definition of molar mass, M = m/n, to solve for the molar mass:

M = m/n = (dV)P/RT

Substituting the given values, we have:

M = (2.40 g/L)(0.820 atm)(22.4 L/mol)/(0.0821 L·atm/mol·K)(318 K) = 40.06 g/mol

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261.52 grams of zinc are needed to fully react with 8.0 moles of silver nitrate.

To answer this question, we first need to determine the balanced chemical equation for the reaction given. The equation shows that one mole of zinc reacts with two moles of silver nitrate to produce two moles of silver and one mole of zinc nitrate. This means that the stoichiometric ratio between zinc and silver nitrate is 1:2.

Next, we can use the given amount of silver nitrate (8.0 moles) to determine how much zinc is needed to react completely with it. Since the ratio between zinc and silver nitrate is 1:2, we know that we need half as many moles of zinc as there are moles of silver nitrate.

Therefore, we can calculate the number of moles of zinc needed as follows:

Number of moles of zinc = (1/2) x Number of moles of silver nitrate
Number of moles of zinc = (1/2) x 8.0 mol
Number of moles of zinc = 4.0 mol

Finally, we can use the molar mass of zinc to convert the number of moles into grams:

Mass of zinc = Number of moles of zinc x Molar mass of zinc
Mass of zinc = 4.0 mol x 65.38 g/mol
Mass of zinc = 261.52 g

Therefore, 261.52 grams of zinc are needed to fully react with 8.0 moles of silver nitrate.

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When you measure current, you are measuring the number of: c. Electrons that pass a point in one second.

When measuring current, you are measuring the number of electrons that pass a point in one second.

Current is defined as the flow of electric charge, which is typically the flow of electrons through a conducting material. The unit of current is the ampere (A), which is defined as the flow of one coulomb of charge per second.

In a circuit, current flows from the negative terminal of the battery (where electrons are pushed out) to the positive terminal (where electrons are absorbed). The amount of current in a circuit is determined by the voltage applied (potential difference) and the resistance of the circuit, according to Ohm's Law (I = V/R).

Therefore, measuring current is a way of quantifying the amount of electric charge that is flowing through a circuit per unit time, and it is directly related to the movement of electrons in the circuit.

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4.85 grams of Zn are needed to produce 0.15 grams of H2.

The balanced chemical equation for the reaction between zinc and phosphoric acid is:

[tex]3 Zn + 2 H_3PO_4[/tex] → [tex]3 H_2 + Zn_3(PO4)2[/tex]

Step 1: Calculate the number of moles of [tex]H_2[/tex] produced

We can use the molar mass of hydrogen gas ([tex]H_2[/tex]) to calculate the number of moles produced:

n([tex]H_2[/tex]) = mass of [tex]H_2[/tex] / molar mass of [tex]H_2[/tex]

n([tex]H_2[/tex]) = 0.15 g / 2.016 g/mol = 0.0743 mol

Step 2: Calculate mass  [tex]Z_2[/tex] needed

We can use the molar mass of zinc to convert moles of Zn to grams of Zn:

mass of Zn = n(Zn) x molar mass of Zn

mass of Zn = 0.0743 mol x 65.38 g/mol

mass of Zn = 4.85 g

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D. Solution A will take longer to dissolve and might have some undissolved salt remaining at the bottom of the solution due to the low temperature.

In Solution A, the salt is in large clumps, the solvent is cold water, and the agitation is slow stirring. These factors contribute to a slower dissolution process. Large clumps have less surface area exposed to the solvent, cold water has less energy to break the ionic bonds between salt ions, and slow stirring provides less agitation to promote dissolution.

Consequently, it will take longer for the salt to dissolve in Solution A, and there might be undissolved salt remaining at the bottom.

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The molecular weight of the hydrocarbon is 165.83 g/mol and its molecular formula is[tex]C2Cl4[/tex].

Since the empirical formula of the hydrocarbon is [tex]CCl2[/tex], we can assume that it contains one carbon atom and two chlorine atoms.

Let's first calculate the molar mass of the empirical formula:

The atomic weight of carbon is 12.01 g/mol

The atomic weight of chlorine is 35.45 g/mol

The empirical formula mass is therefore 12.01 g/mol + 2(35.45 g/mol) = 83.91 g/mol

To find the molecular formula, we need to know the molecular weight of the compound. We can use the ideal gas law to calculate the number of moles of the gas:

PV = nRT

where P is the pressure in atmospheres, V is the volume in liters, n is the number of moles, R is the ideal gas constant (0.0821 L·atm/mol·K), and T is the temperature in Kelvin.

First, we need to convert the pressure from torr to atm:

785 torr = 1.036 atm

We also need to convert the temperature from Celsius to Kelvin:

150°C + 273.15 = 423.15 K

Now we can solve for the number of moles:

n = PV/RT

n = (1.036 atm)(4.93 g/L)/(0.0821 L·atm/mol·K)(423.15 K)

n = 0.208 mol

The molar mass of the compound is the mass divided by the number of moles:

mass = n × molar mass

molar mass = mass / n

molar mass = (0.208 mol) × (4.93 g/L) / (1 L/mol)

molar mass = 1.025 g/mol

Finally, we can find the molecular formula by comparing the molar mass of the empirical formula to the molar mass of the compound:

molecular weight / empirical formula weight = n

where n is an integer. We can calculate n as follows:

n = molecular weight / empirical formula weight

n = 1.025 g/mol / 83.91 g/mol

n = 0.0122

n is close to 1/2, so we can double the empirical formula to get the molecular formula:

[tex]C2Cl4[/tex]

Therefore, the molecular weight of the hydrocarbon is 165.83 g/mol (2 × 83.91 g/mol) and its molecular formula is [tex]C2Cl4[/tex].

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The heat released in the formation of 1.99 grams of sodium hydroxide is -9.60 kJ.

The given equation shows that the formation of 2 moles of NaOH releases 215.76 kJ of heat. Therefore, the formation of 1 mole of NaOH releases 107.88 kJ of heat. To calculate the heat released in the formation of 1.99 grams of NaOH, we need to first convert the given mass into moles. The molar mass of NaOH is 40 g/mol, so 1.99 grams of NaOH is equal to 0.04975 moles.

Now we can use the following formula to calculate the heat released:

Therefore, the heat released in the formation of 1.99 grams of NaOH is -5.37 kJ. However, since the reaction gives off heat, the answer should be reported as a positive value. Therefore, the final answer is 9.60 kJ.

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Add 10.0 g of calcium chloride to 10.0 g of sodium hydroxide, we will produce 0.0901 moles of calcium hydroxide.

What is Moles?

Moles (mol) is a unit of measurement in chemistry that represents the amount of a substance. One mole of a substance contains the same number of entities, such as atoms, molecules, or ions, as there are atoms in exactly 12 grams of carbon-12.

to calculate the number of moles of calcium chloride present in 10.0 g of the compound. The molar mass of calcium chloride is 111 g/mol, so:

10.0 g Ca[tex]Cl_2[/tex] × (1 mol / 111 g) = 0.0901 mol Ca[tex]Cl_2[/tex]

Similarly, we need to calculate the number of moles of sodium hydroxide present in 10.0 g of the compound. The molar mass of sodium hydroxide is 40 g/mol, so:

10.0 g NaOH × (1 mol / 40 g) = 0.25 mol NaOH

According to the balanced equation, 1 mole of Ca[tex]Cl_2[/tex]reacts with 2 moles of NaOH, so if we have 0.0901 moles of Ca[tex]Cl_2[/tex] and 0.25 moles of NaOH, then the limiting reagent is Ca[tex]Cl_2[/tex]. Therefore, all of the Ca[tex]Cl_2[/tex]will react and the number of moles of products formed will be determined by the amount of Ca[tex]Cl_2[/tex]:

0.0901 mol Ca[tex]Cl_2[/tex] × (1 mol Ca(OH)2 / 1 mol Ca[tex]Cl_2[/tex]) = 0.0901 mol Ca(OH)2

Therefore, if we add 10.0 g of calcium chloride to 10.0 g of sodium hydroxide, we will produce 0.0901 moles of calcium hydroxide.

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This reaction will  produce 0.125 moles of Ca(OH)2

To determine the number of moles of products formed when 10.0 g of calcium chloride (CaCl2) is added to 10.0 g of sodium hydroxide (NaOH), we need to first determine which chemical reaction takes place and the limiting reagent.

The chemical equation for the reaction between calcium chloride and sodium hydroxide is:

CaCl2 + 2 NaOH → Ca(OH)2 + 2 NaCl

From the balanced equation, we can see that 1 mole of calcium chloride reacts with 2 moles of sodium hydroxide to produce 1 mole of calcium hydroxide and 2 moles of sodium chloride.

The molar masses of calcium chloride and sodium hydroxide are:

Using the molar masses, we can convert the masses of calcium chloride and sodium hydroxide to moles:

We can see that there is an excess of sodium hydroxide, so it is the limiting reagent. Using the stoichiometry of the balanced equation, we can determine the number of moles of products formed:

2 moles of NaOH react with 1 mole of CaCl2 to produce 1 mole of Ca(OH)2

Therefore, 0.250 moles of NaOH will react with 0.125 moles of CaCl2 to produce 0.125 moles of Ca(OH)2

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The celsius temperature of 1.50 moles of ammonia contained in a 10.0-l vessel under a pressure of 2.0 atm can be determined using the ideal gas law.

The ideal gas law states that PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the gas constant, and T is the temperature in Kelvin. To calculate the temperature in Celsius, the Kelvin temperature is first determined by rearranging the equation and solving for T.

Then, the Kelvin temperature is converted to Celsius by subtracting 273.15 from the Kelvin temperature. In this case, the calculation would be T = (2.0 * 10.0) / (1.50 * 0.0821) = 1100.16 K. Subtracting 273.15 from 1100.16 K yields 827.01 °C, which is equal to 827.01 - 273.15 = -50.0 °C.

In conclusion, the celsius temperature of 1.50 moles of ammonia contained in a 10.0-l vessel under a pressure of 2.0 atm is -50.0 °C.

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To calculate the amount of heat required to warm 400 g of ethanol from 25.0°C to 40.0°C, we need to use the following formula:

Q = m * c * ΔT

where Q is the amount of heat required, m is the mass of the substance, c is the specific heat capacity of ethanol, and ΔT is the change in temperature.

The specific heat capacity of ethanol is 2.44 J/(g·°C), and the change in temperature is:

ΔT = 40.0°C - 25.0°C = 15.0°C

Now we can use the formula to calculate the amount of heat required:

Q = 400 g * 2.44 J/(g·°C) * 15.0°C = 18360 J

Therefore, 18,360 J of heat is required to warm 400 g of ethanol from 25.0°C to 40.0°C.

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The law describes what happens when a steel drum that is heated collapses when put under cold water is Gay-Lussac's Law Option d

Gay-Lussac's Law, is called the Law of Combining Volumes.

It is a gas law that specifes the connection between a gas volume and temperature under constant pressure.

According to notes on Gay-Lussac's Law,, the volume of a given amount of gas sustained at constant pressure is exactly proportional to the absolute temperature of the gas, as seen in the equation.

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If 4 moles of a gas are at a pressure of 105. 6 kpa and a volume of 12 liters, the temperature of the gas is 399.36 K.

To solve this problem, we can use the ideal gas law: PV = nRT, where P is the pressure, V is the volume, n is the number of moles of gas, R is the gas constant, and T is the temperature in kelvin. Rearranging the equation, we get T = PV/nR.

Substituting the given values, we have:

T = (105.6 kPa)(12 L) / (4 mol)(8.31 J/(mol*K))

Simplifying, we get:

T = 399.36 K

Therefore, the temperature of the gas is 399.36 K, or 126.21°C.

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When 15 g of Mg reacts with 15 g of HCl, 19.6 g of MgCl₂ and 0.208 g mass of H₂ are produced.

The molar mass of Mg is 24.31 g/mol, and the molar mass of HCl is 36.46 g/mol. To determine the number of moles of each substance, we divide the given mass by its molar mass:

moles of Mg = 15 g ÷ 24.31 g/mol = 0.618 mol

moles of HCl = 15 g ÷ 36.46 g/mol = 0.411 mol

Determine the limiting reactant in the reaction by comparing the number of moles of each reactant:

Mg: 0.618 mol

HCl: 0.411 mol × (1 mol Mg ÷ 2 mol HCl) = 0.206 mol

Since HCl is the limiting reactant, it will be completely consumed in the reaction. The amount of MgCl₂ produced can be calculated as:

moles of MgCl₂ = moles of HCl = 0.206 mol

mass of MgCl₂ = moles of MgCl₂ × molar mass of MgCl₂

mass of MgCl₂ = 0.206 mol × 95.21 g/mol = 19.6 g

Similarly, the amount of H₂ produced can be calculated as:

moles of H₂ = moles of HCl × (1 mol H₂ ÷ 2 mol HCl)

moles of H₂ = 0.206 mol × (1 mol H₂ ÷ 2 mol HCl) = 0.103 mol

mass of H₂ = moles of H₂ × molar mass of H₂

mass of H₂ = 0.103 mol × 2.02 g/mol = 0.208 g

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The volume of the expensive ice cream is: 0.

Densities of the cheap and expensive ice creams, we need to first convert the weights of the ice creams from pounds to kilograms.

1 pound = 0.453592 kilograms

Therefore, the weight of the cheap ice cream in kilograms is:

5 pounds * 0.453592 kilograms/pound = 2. 027 kilograms

The weight of the expensive ice cream in kilograms is:

0 pounds * 0.453592 kilograms/pound = 3. 903 kilogram

The volume of a gallon of ice cream is approximately 3785 milliliters. Therefore, the volume of the cheap ice cream is:

027 kilograms / 3785 milliliters = 0.000557 cubic meters

The volume of the expensive ice cream is:

903 kilograms / 3785 milliliters = 0.00091 cubic meters

The densities of the cheap and expensive ice creams, we can use the following formula:

density = mass / volume

The densities of the cheap and expensive ice creams can then be calculated using the following formula:

density = mass / volume

The mass of the cheap ice cream is:

027 kilograms

The volume of the cheap ice cream is:

0.000557 cubic meters

Therefore, the density of the cheap ice cream is:

027 kilograms / 0.000557 cubic meters = 35. 14 kilograms/cubic meter

The mass of the expensive ice cream is:

903 kilograms

The volume of the expensive ice cream is: 0.

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