If the molar mass for the compound is 197.31 g/mol the molecular formula of the compound will be BaCO₃. Molar mass of empirical formula (BaCO₃).
Molar mass = (1 × molar mass Ba) + (1 × molar mass of C) + (3 × molar mass of O)
Molar mass = (1 × 137.33 g/mol) + (1 × 12.01 g/mol) + (3 × 16.00 g/mol)
Molar mass = 137.33 g/mol + 12.01 g/mol + 48.00 g/mol
Molar mass = 197.34 g/mol
The molar mass of the empirical formula (BaCO₃) is approximately 197.34 g/mol.
To find the molecular formula, we need to divide the given molar mass (197.31 g/mol) by the molar mass of the empirical formula (197.34 g/mol) and round to the nearest whole number:
Molar mass ratio = molar mass of molecular / molar mass of empirical
Molar mass ratio = 197.31 g/mol / 197.34 g/mol = 0.9999
Rounding it to 1.
The molecular formula is the same as the empirical formula, which is BaCO₃.
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Krypton-79 has a half life of 35 hours. How many half lives have passed after 70 hours?
a.1
b.2
c.3
d.4
Answer: b.2
Explanation:
The question is below in the file
Answer:
A
Explanation:
just do it
what is the mole fraction of sodium hydroxide in aqueous solution containing 0.4 g of NaOH dissolve in 100g of water
The mole fraction of sodium hydroxide in aqueous solution containing 0.4 g of NaOH (sodium hydroxide)dissolve in 100g of water is approximately 0.0018 .To calculate the mole, one needs to calculate the moles of NaOH and water separately .
Moles of NaOH (sodium hydroxide)= mass of NaOH / molar mass of NaOH
Molar mass of NaOH (sodium hydroxide)= 22.99 g/mol (sodium) + 16.00 g/mol (oxygen) + 1.01 g/mol (hydrogen)
Molar mass of NaOH (sodium hydroxide)= 39.99 g/mol
Moles of NaOH (sodium hydroxide) = 0.4 g / 39.99 g/mol
For water,
Moles of water = mass of water / molar mass of water
Molar mass of water = 18.015 g/mol
Moles of water = 100 g / 18.015 g/mol
Total moles = moles of NaOH (sodium hydroxide)+ moles of water
Mole fraction of NaOH (sodium hydroxide)= moles of NaOH / total moles
Moles of NaOH (sodium hydroxide)= 0.4 g / 39.99 g/mol ≈ 0.010 mol
Moles of water = 100 g / 18.015 g/mol ≈ 5.551 mol
Total moles = 0.010 mol + 5.551 mol ≈ 5.561 mol
Mole fraction of NaOH (sodium hydroxide) = 0.010 mol / 5.561 mol ≈ 0.0018
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The following set of reactions show
burning hydrogen and the reverse
process, electrolysis of water. What is
the missing change in enthalpy? Only
put in the numerical value. (The bond
energy of H-H is 432 kJ/mol was used
in the first equation. Other bond
energies are on this form, IF you need
it.)
_2_H₂ + _1_0₂_2_H₂O
_2_H₂O →_2_H₂ +_1_O₂
ΔΗrxn=-498 kJ/mol
ΔΗrxn= ??? kJ/mol
The missing value for ΔHrxn is -2226 kJ/mol as the enthalpy change that is missing is equal to -498 kJ/mol - 1728 kJ/mol.
Thus, two moles of hydrogen join with one mole of oxygen in the first reaction to create two moles of water. H-H has a 432 kJ/mol bond energy. The energy needed to break these bonds is 4 432 kJ/mol, or 1728 kJ/mol, because there are four moles of H-H bonds broken and two moles of hydrogen.
However, one mole of O=O bonds and four moles of O-H bonds are created, and their combined bond energies are unknown, determined by using the formula ΔHrxn = (energy released in bond creation) - (energy needed in bond breaking). ΔHrxn = -498 kJ/mol, hence the enthalpy change that is missing is equal to -498 kJ/mol - 1728 kJ/mol = -2226 kJ/mol.
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2. Given the following sets of values, calculate the unknown quantity.
P=200kPa V= 0.602 L n = ? (g of CO₂) T = 311 K
ignore (g of CO2) in the question just find
the number of molecule
The approximate number of molecules in the given set of values is 2.823 × 10²² molecules of CO₂.To calculate the number of molecules (n) of CO₂, we can use the ideal gas law equation:PV = nRT
Where:
P = Pressure (in kPa)
V = Volume (in liters)
n = Number of moles
R = Ideal gas constant (8.314 J/(mol·K))
T = Temperature (in Kelvin),First, let's convert the pressure from kPa to atm (atmospheres) since the ideal gas constant is usually expressed in atm:
1 atm = 101.325 kPa
So, 200 kPa is approximately 1.973 atm.
Now, rearranging the ideal gas law equation to solve for n:
n = (PV) / (RT)
n = (1.973 atm * 0.602 L) / (0.0821 L·atm/(mol·K) * 311 K)
n ≈ 0.0469 mol
Since 1 mole of any substance contains Avogadro's number (6.022 × 10²³) of molecules, the number of molecules (N) can be calculated by multiplying the number of moles by Avogadro's number:
N = n * Avogadro's number
N = 0.0469 mol * (6.022 × 10²³ molecules/mol)
=N ≈ 2.823 × 10²² molecules
Therefore, the approximate number of molecules in the given set of values is 2.823 × 10²² molecules of CO₂.
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1. What type of organic compounds are the reactants in an esterification reaction?
Esterification is the process that turned salicylic acid and acetic acid into acetylsalicylic acid.
Thus, The process of creating esters from carboxylic acids is known as esterification. When a carbon is linked to two oxygen atoms, an ester results from one of the oxygens being double-bonded to the carbon while the other oxygen is linked to another carbon.
The letter "R" stands for a carbon chain in the following generic formula for an ester.
Esterification occurs when a carboxylic acid reacts with an alcohol. This reaction can only occur in the presence of an acid catalyst and heat. It takes a lot of energy to remove the -OH from the carboxylic acid, so a catalyst and heat are needed to produce the necessary energy.
Thus, Esterification is the process that turned salicylic acid and acetic acid into acetylsalicylic acid.
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pls help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The amount remaining after 18 hours, given that you started with 24 mg and that the sample has a half-life of 4.5 hours, is 1.5 mg
How do i determine the amount remaining after 18 hours?First, we shall obtain the number of half-life that has elapsed in 18 hours. This is shown below:
Half-life (t½) = 4.5 hoursTime (t) = 18 hoursNumber of half-lives (n) =?n = t / t½
n = 18 / 4.5
n = 4
Haven obtained the number of half-lives that has elapsed, we shall determine the amount remaining. Details below:
Original percentage (N₀) = 24 mgNumber of half-lives (n) = 4Amount remaining (N) = ?N = N₀ / 2ⁿ
N = 24 / 2⁴
N = 24 / 16
N = 1.5 mg
Thus, the amount remaining is 1.5 mg
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The single strand of nucleic acid shown is representative of
A). RNA
B). DNA
C). both RNA and DNA
D). protein
305.79 of 0₂ burned with C₂H6 How many
moles of CO2
Answer:
The amount of CO₂ produced can be calculated using the mole ratio of CO₂ to C₂H6:
2 mol CO₂ / 1 mol C₂H6 = x mol CO₂ / 1.01 mol C₂H6
x = 2 mol CO₂ / 1 mol C₂H6 × 1.01 mol C₂H6 = 2.02 mol CO₂
Therefore, 2.02 moles of CO₂ were produced.
When 345 g of water at 35.0 °C and 295 g of water at 63.0 °C are added together *
in a calorimeter, the temperature of the mixture becomes 46.9 °C. If the specific
heat capacity of water is 4.18 J/g °C, how many joules of energy are absorbed by
the calorimeter?
A. 1592 J
B 2690 J
C. 3000 J
D. 3458 J
The amount of energy absorbed by the calorimeter is 5597.92 J. Option A.
Energy transferUsing the formula:
Q = mcΔT
Where Q is the heat absorbed by the calorimeter, m is the mass of the water, c is the specific heat capacity of water, and ΔT is the change in temperature.
Total mass of water = 345 g + 295 g = 640 gAverage temperature of the 2 water samples = (35.0 °C + 63.0 °C)/2 = 49.0 °CΔT = 46.9 °C - 49.0 °C = -2.1 °CNow, let's calculate the heat absorbed by the calorimeter:
Q = (640 g)(4.18 J/g °C)(-2.1 °C)
Q = -5597.92 J
Note that we have a negative value for Q because the calorimeter is absorbing heat from the water mixture.
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A balloon is filled to a volume of 2.20L at a temperature of 25.0*C. The balloon is then heated to a temperature of 51*C. Find the new volume of the balloon
The new volume of the balloon after heating it to a temperature of 51 °C is approximately 2.39 L.
What is the final volume of the balloon?Charles's law states that "the volume occupied by a definite quantity of gas is directly proportional to its absolute temperature.
It is expressed as;
[tex]\frac{V_1}{T_1} =\frac{V_2}{T_2}[/tex]
Given that:
Initial temperature of gas T₁ = 25°C = (25.0 + 273.15) = KInitial volume of gas V₁ = 2.2 LFinal temperature T₂ = 51 °C = ( 51 + 273.15 ) = 324.15 KFinal volume V₂ = ?Substituting the given values and solve for V₂:
[tex]V_1T_2 = V_2T_1\\\\V_2 = \frac{V_1T_2}{T_1} \\\\V_2 = \frac{2.2\ *\ 324.15}{298.15 }\\ \\V_2 = 2.39 \ L[/tex]
Therefore, the final volume is 2.39 litres.
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the mechanism of a reaction 2-nitropentane + NaOH/H3O+
The interaction of sodium hydroxide (NaOH), hydronium ion (H₃O⁺), and 2-nitropentane. It appears to involve both acid-base reactions and nucleophilic substitution. Here is a theory for the reaction's mechanism:
Step 1: Deprotonation
Strong base NaOH sodium hydroxideinteracts with hydrogen ion H₃O⁺ to produce water (H₂O) and sodium hydronium ion (NaH₃O⁺):
H₃O⁺ + NaOH → H₂O + NaH₃O⁺
Step 2: Nucleophilic Attack
The carbon-nitrogen double bond in NaH₃O⁺ is attacked by the deprotonated nitropentane anion, which is produced from 2-nitropentane, acting as a nucleophile:
NaH₃O⁺ + Nitropentane → Na+ + Nitropentane Anion
Step 3: Protonation
The end product, 2-nitropentanol, is created when water (H₂O), acting as a proton donor, donates a proton to the nitropentane anion:
Nitropentane Anion + H₂O → 2-Nitropentanol
The complete reaction can be summarized as follows:
2-nitropentane + NaOH/H₃O⁺ → 2-nitropentanol + Na⁺ + H₂O
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What is the mass of hydrogen with 0.400mol
Question 3 of 25
Which reaction is both a redox reaction and a combustion reaction?
OA. 2C₂H6+702-4C0₂ + 6H₂0
B. 2A1+3Br₂ → 2AlBr3
OC. C+0₂ CO₂
O D. Mg + CuCl, → MgCl2 + Cu
SUBMIT
Which cellular process is described by the chemical equation below?
6O2 + C6H12O6 → 6CO2 + 6H2O + energy
Calvin cycle
cellular respiration
Krebs cycle
photosynthesis
The cellular process described by the chemical equation 6O2 + C6H12O6 → 6CO2 + 6H2O + energy is cellular respiration.
Option B.
Cellular respiration is a set of metabolic reactions and processes that occur in cells to convert biochemical energy derived from nutrients into adenosine triphosphate (ATP) energy, and then release waste products. It is the method by which the cells of an organism derive energy through the consumption of glucose and oxygen. During cellular respiration, glucose and oxygen are converted into carbon dioxide, water, and ATP molecules. This process occurs in three main stages, including glycolysis, the Krebs cycle, and the electron transport chain.
Glycolysis: This is the first stage of cellular respiration that occurs in the cytoplasm of cells. In glycolysis, glucose is broken down into two pyruvic acid molecules, which produces two ATP molecules. This stage of cellular respiration is anaerobic, meaning it does not require oxygen.
Krebs cycle: Also known as the citric acid cycle, the Krebs cycle is the second stage of cellular respiration. It occurs in the mitochondria of cells and involves the conversion of pyruvic acid into carbon dioxide. The Krebs cycle produces several high-energy molecules, including ATP, NADH, and FADH2.
Electron transport chain: The electron transport chain is the final stage of cellular respiration that occurs in the mitochondria. During this stage, the high-energy molecules produced in the Krebs cycle are used to generate ATP through a process known as oxidative phosphorylation. This stage of cellular respiration requires oxygen and produces a significant amount of ATP.
In conclusion, the chemical equation 6O2 + C6H12O6 → 6CO2 + 6H2O + energy represents cellular respiration, which is the process by which cells derive energy from glucose and oxygen to produce ATP.
Option B.
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Answer:
B - cellular respiration
Explanation:
did the test.
Explain how you would write the expression for the following reaction:
2 X (g) + 3 Y (s) <---> Z (g) + 2 W (g)
The equilibrium expression of the reaction is;
[tex]K = [Z] [W]^2/[X]^2 [Y]^3[/tex]
What is the equilibrium expression?The equilibrium condition for a chemical reaction is represented mathematically by the equilibrium expression. It relates the reactant and product concentrations (or pressures) at equilibrium.
The law of mass action serves as the basis for the equilibrium expression.
From the reaction;
2 X (g) + 3 Y (s) <---> Z (g) + 2 W (g), the equilibrium expression would be;
[tex]K = [Z] [W]^2/[X]^2 [Y]^3[/tex] as derived from the reaction equation shown.
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PLEASE HELP THIS IS DUE IN 10 MORE MINUTES I WILL GIVE YOU 50 POINTS ANSWER THE QUESTIONS BELOW AND THE QUESTION IN THE IMAGE!
1. Light always travels in a straight line until something gets in its way.
True or False
2. Waves carry energy. The amount of energy they carry is related to their frequency and their amplitude.
True or False
3.The higher the frequency of a wave, the more energy, and the higher the amplitude of a wave, the more energy.
True or False
1. It is true that light always travels in a straight line
2. It is true that the amount of energy they carry is related to their frequency and their amplitude.
3. It is true that the higher the frequency of a wave, the more energy, and the higher the amplitude of a wave, the more energy.
What is a wave?A wave is an oscillation or disturbance that moves through a medium or space and transmits energy from one point to another without actually moving any physical objects.
Water waves, sound waves, light waves, and electromagnetic waves are just a few examples of the many varied shapes and settings in which waves can occur.
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Urgent help please
Question 9 (1 point)
What is the pressure of a sample of Xenon gas that originally occupied 4.0L at a
pressure of 4.3atm, if the volume is increased to 9.OL?
Your Answer:
Answer
units
9.7atm
Explanation:Ideal gas laws let us find different characteristics of gas through its changes.
Boyle's Law
Boyle's law describes the relationship between pressure and volume. This law states that volume and pressure are inversely proportional. This means that as volume increases, pressure decreases. In equation form, Boyle's law is:
P₁V₁ = P₂V₂In the question, the new volume is greater than the original. This means that the new pressure must be less than the original pressure.
Solving for P₁
In order to find the original pressure, we can plug in the information we know.
P₁ * 4.0L = 4.3atm * 9.0LNow, divide both sides by 4.0L.
P₁ ≈ 9.675atmThis pressure is greater than 4.3atm, which follows the prediction we made earlier. So, this is a reasonable answer. Since this question involves measured values, we should round according to significant figure rules. This means that the original pressure is 9.7atm.
In which type of chemical reaction do two or more substances combine to form one substance?
Osynthesis
Odecomposition
single replacement
Odouble replacement
The type of chemical reaction where two or more substances combine to form one substance is known as a synthesis reaction.
In a synthesis reaction, multiple reactants react with each other to produce a single product.
Synthesis reactions are characterized by the formation of new chemical bonds and the creation of a more complex compound from simpler substances. This reaction type is commonly observed in various chemical processes and natural phenomena.
The general equation for a synthesis reaction is:
A + B → AB
In this equation, A and B represent the reactants, while AB represents the product. The reactants can be elements, compounds, or a combination of both. When they combine, their atoms or molecules rearrange and bond together to form the product.
Synthesis reactions are essential for the formation of many substances. For example, the combination of hydrogen and oxygen through a synthesis reaction produces water:
2H₂ + O₂ → 2H₂O
Another example is the synthesis of sodium chloride (table salt) from sodium and chlorine:
2Na + Cl₂ → 2NaCl
Synthesis reactions are also prevalent in organic chemistry, where complex molecules are formed by combining simpler organic compounds.
Overall, synthesis reactions play a fundamental role in chemistry, contributing to the formation of new substances and the understanding of chemical processes.
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Space shuttles are made out of three main parts: rocket boosters, a fuel tank, and a(n) ___________.
Answer:
Orbiter
Explanation:
Space shuttles are made out of three main parts: rocket boosters, a fuel tank, and orbiter (the part that resembles an airplane
A student pours 50 g of hot water at 72 °C into a Styrofoam cup with 50 g of water at 25
°C. After a few minutes the water temperature is 43 °C. How much heat did the cup itself
absorb? (Hint Q for hot water = Q of cold water and Q for the cup. You do not need to
know the mass of the cup).
PLEASE HELP ASAPP
The amount of heat energy absorbed by the cup, given that 50 g of hot water at 72 °C was poured into the styrofoam cup with 50 g of water at 25 °C is 2301.2 J
How do i determine the heat absorbed by the cup?First, we shall obtain the heat absorbed by the cold water. Details below:
Mass of cold water (M) = 50 gInitial temperature of cold water (T₁) = 25 °CFinal temperature of cold water (T₂) = 43 °CChange in temperature (ΔT) = 43 - 25 = 18 °C Specific heat capacity of water (C) = 4.184 J/gºC Heat absorbed by cold water (Q) =?Q = MCΔT
Q = 50 × 4.184 × 18
Q = 3765.6 J
Next, we shall obtain the heat release by the hot water
Mass of hot water (M) = 50 gInitial temperature of hot water (T₁) = 72 °CFinal temperature of hot water (T₂) = 43 °CChange in temperature (ΔT) = 43 - 72 = -29 °C Specific heat capacity of water (C) = 4.184 J/gºC Heat release by hot water (Q) =?Q = MCΔT
Q = 50 × 4.184 × -29
Q = -6066.8 J
Note: The negative shows that heat is released.
Finally, we shall obtain the heat absorbed by the cup. Details below:
Heat absorbed by cold water = 3765.6 JHeat release by hot water = 6066.8Heat absorbed by cup = ?Heat absorbed by cup = Heat release by hot water - heat absorbed by cold water
Heat absorbed by cup = 6066.8 - 3765.6
Heat absorbed by cup = 2301.2 J
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How do the varying characteristics of Earth's atmospheric layers affect the types of wavelengths that are reflected back into space, absorbed or allowed to pass to Earth's surface?
The specific characteristics of the layers that make up the Earth's atmosphere affect the types of wavelengths that are reflected. Troposphere, stratosphere, and mesosphere are the three layers.
The stratosphere, which contains the ozone layer, is the next layer. The sun's dangerous UV light is absorbed by ozone, keeping it from reaching the surface of the Earth. Visible light and some infrared radiation can travel through this layer.
The mesosphere is located above the stratosphere, where the majority of meteoroids burn up as they enter the atmosphere of the Earth.
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To which homologous series does CH₂CH₂ CH₂CH₂ belong?
The homologous series that CH₂CH₂ CH₂CH₂ belongs to is alkene.
What is homologous series?Homologous series is any series of aliphatic organic compounds whose members differ only in the addition of a CH₂ group.
The members of the homologous series are as follows;
AlkaneAlkeneAlkyneAlkene is an unsaturated, aliphatic hydrocarbon with one or more carbon–carbon double bonds.
According to this question, the above given compound is butene (a member of alkene) because it has four carbon atoms and 8 hydrogen atoms.
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Kennith blows up an AMG C 63 and it releases 530 kJ. How many kilocalories of energy are released?
The amount of kilocalories of energy Kennith released after blowing up an AMG C 63 is 127 kcal.
How to determine energy?To convert from kilojoules to kilocalories, multiply by 0.239. Therefore, the amount of kilocalories of energy released is 530 kJ × 0.239 = 127 kcal.
No, energy cannot be created. Energy can only be converted from one form to another. For example, when you burn a piece of wood, the chemical energy in the wood is converted into heat energy and light energy.
No, energy cannot be destroyed. Energy can only be converted from one form to another. For example, when you turn on a light switch, the electrical energy in the power grid is converted into light energy.
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A car tire is inflated to 82.0 kPa in a repair shop where the temperature is 26.0 C
what is the temperature of the air inside the tire is the pressure increases to 87.3 kPa, when the car is taken outside
To determine the temperature of the air inside the tire when the pressure increases to 87.3 kPa, we can use the ideal gas law equation:
PV = nRT
Where:
P = pressure
V = volume
n = number of moles
R = gas constant
T = temperature
Assuming the volume of the tire remains constant, we can rearrange the equation as follows:
P₁/T₁ = P₂/T₂
Where:
P₁ = initial pressure (82.0 kPa)
T₁ = initial temperature (26.0 °C + 273.15 K) [converting Celsius to Kelvin]
P₂ = final pressure (87.3 kPa)
T₂ = final temperature (unknown)
Substituting the values into the equation:
82.0 kPa / (26.0 °C + 273.15 K) = 87.3 kPa / T₂
Now, let's solve for T₂:
T₂ = (87.3 kPa * (26.0 °C + 273.15 K)) / 82.0 kPa
Calculating the expression:
T₂ ≈ 299.19 K
To convert this temperature back to Celsius:
T₂ ≈ 299.19 K - 273.15 ≈ 26.04 °C
Therefore, the temperature of the air inside the tire, when the pressure increases to 87.3 kPa, is approximately 26.04 °C.
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Please help me ASAP!!!
240.1g is the mass of sodium propanoate. Mass was widely considered to be tied to the amount of matter within a physical body.
A body's mass is an inherent quality. Prior to the discoveries of the atom or particle physics, it was discovered that, despite having the same quantity of matter in theory, various atoms and elementary particles had varied masses. There are several conceptions of mass in contemporary physics that are theoretically different but practically equivalent. The resistance of the body to acceleration (alterations of velocity) in the presence of a net force may be measured experimentally as mass.
pH =Pka + log [salt]/[acid]
4.87=4.87+ log [salt]/[1]
4.87=4.87+ log [salt]/[1]
[salt] = 10 mol dm⁻³
mole = molarity ×volume
mole = 10×0.25
=2.5
mass = 2.5×96.07
= 240.1g
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What is the mass, in grams, of a COCl2 sample that contains
1.55×1025 Cl atoms?
Answer:1.55x
Explanation: just do it
A calorimeter consists of metal parts with a heat capacity of 925.0 J/K and 1100 grams of oil with specific heat 2.814J/g K. What is the heat capacity, in joules per degree, of the entire assembly?
The heat capacity of the entire assembly is 4019.4 joules per degree Kelvin.
To calculate the heat capacity of the entire assembly, we need to consider the heat capacities of the metal parts and the oil separately, and then sum them up.
The heat capacity of the metal parts is given as 925.0 J/K. This means that for every 1 degree Kelvin (or Celsius) increase in temperature, the metal parts can absorb or release 925.0 joules of heat.
The oil has a specific heat of 2.814 J/g K. This means that for every 1 gram of oil and 1 degree Kelvin increase in temperature, it can absorb or release 2.814 joules of heat.
Given that there are 1100 grams of oil in the calorimeter, we can calculate the heat capacity of the oil as follows:
Heat capacity of oil = specific heat of oil × mass of oil
= 2.814 J/g K × 1100 g
= 3095.4 J/K
To find the heat capacity of the entire assembly, we sum the heat capacities of the metal parts and the oil:
Heat capacity of entire assembly = heat capacity of metal parts + heat capacity of oil
= 925.0 J/K + 3095.4 J/K
= 4019.4 J/K
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Methane is burned with oxygen to yield carbon dioxide and water. The feed
contains 20 mole % CH4, 60% 02 and 20% C02 and the conversion rate of the
limiting reactant is 90%.
CHA+2 02--->C02+2H20
Find the following;
1 The limiting reactant.
2- The molar composition of the product stream.
The limiting reactant of the reaction is CH₄.
The molar composition of the product stream is:
33.33% CO₂66.67% H₂OWhat is the limiting reactant of the reaction?The limiting reactant is determined using the stoichiometric ratios of methane (CH₄) and oxygen (O₂) in the given feed composition.
The balanced equation is:
CH₄ + 2 O₂ ----> CO₂ + 2 H₂O
From the feed composition, we have:
CH₄: 20 mole %
O₂: 60 mole %
CO₂: 20 mole %
Assuming a total feed of 100 moles.
Moles of CH₄ in the feed = 20% of 100 moles = 20 moles
Moles of O2 in the feed = 60% of 100 moles = 60 moles
Based on the balanced equation, the stoichiometric ratio is 1:2 between CH₄ and O₂.
Since we have 20 moles of CH₄ and 60 moles of O₂, we can see that there is an excess of O₂. Therefore, the limiting reactant is CH₄.
The molar composition of the product stream:
Since CH₄ is the limiting reactant, we will determine the amount of carbon dioxide (CO₂) and water (H₂O) produced based on the 90% conversion rate of CH₄.
From the balanced equation, for every mole of CH₄ reacted, we obtain one mole of CO2 and two moles of H₂O.
Moles of CO₂ produced = 90% of 20 moles = 0.9 * 20 = 18 moles
Moles of H₂O produced = 2 * (90% of 20 moles) = 2 * (0.9 * 20) = 36 moles
Total moles of products = Moles of CO2 + Moles of H2O
Total moles of products = 18 moles + 36 moles
Total moles of products = 54 moles
Therefore;
Moles of CO₂ in the product stream = 18 moles / 54 moles * 100% = 33.33%
Moles of H₂O in the product stream = 36 moles / 54 moles * 100% = 66.67%
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The parent function f(x) = 1/x has been translated 4 units to the left and 3 units down to create gpx). Which of the following
transformation functions produces g(x)?
g(x) = f(x-3) +4
g(x) = f(x+3) - 4
Oc_g(x)=f(x-4) + 3
Od g(x) = f(x+4) − 3
The original function f(x) = 1/x becomes g(x) = 1/(x+4) - 3 after the transformation.
How to solveThe correct transformation function that reflects a shift of 4 units to the left and 3 units down is g(x) = f(x+4) - 3.
This is because, in function notation, adding to the input value inside the function (x+4) shifts the function to the left, while subtracting from the output of the function (-3) shifts it down.
So, the original function f(x) = 1/x becomes g(x) = 1/(x+4) - 3 after the transformation.
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