Actinium is a highly radioactive element, having a half-life of 21.77 years Use this information to answer the following questions. the exponential decay model for Actinium, A(t) = Aoekt , find the value of k Number (round to 4 decimals) Suppose a scientist in the year 1880 collected 100 grams of Actinium How much Actinium would remain now (in 2020)? There - would be Number grams of Actinium remaining (round to the nearest gram). Suppose a scientist in 1980 wanted to collect and store Actinium, and wanted to be sure to have 70 grams in the year 2020. How much Actinium should she store? She should store Number grams of Actinium (round to the nearest gram)
Answers
She should store approximately 142 grams of Actinium.
The exponential decay model for Actinium is A(t) = A₀e^(kt), where A₀ is the initial amount, k is the decay constant, and t is the time in years. Given a half-life of 21.77 years, we can find the value of k using the formula:
A₀/2 = A₀e^(k * 21.77)
0.5 = e^(k * 21.77)
Solving for k, we get:
k = ln(0.5) / -21.77
k ≈ -0.0318 (rounded to 4 decimals)
1. Suppose a scientist in the year 1880 collected 100 grams of Actinium. To find out how much Actinium would remain in 2020, we need to find the elapsed time (140 years) and apply the decay formula:
A(140) = 100 * e^(-0.0318 * 140)
A(140) ≈ 2.7113 grams
There would be approximately 3 grams of Actinium remaining (rounded to the nearest gram).
2. Suppose a scientist in 1980 wanted to collect and store Actinium, and wanted to be sure to have 70 grams in the year 2020. We need to find the elapsed time (40 years) and apply the decay formula to find the initial amount:
70 = A₀ * e^(-0.0318 * 40)
Solving for A₀, we get:
A₀ ≈ 141.5669 grams
She should store approximately 142 grams of Actinium (rounded to the nearest gram).
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Related Questions
Help please!! I'll name you brainliest!!
Answers
the answers is cacih2
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What is always true according to the Law of Conservation of Matter?
Answers
Answer:
same amount of matter exists before and after the change—none is created or destroyed
Explanation:
example
water will have the same mass when it freezes into ice
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According to the bohr model of the atom, the single electron of a hydrogen atom circles the nucleus...a. in specific, allowed orbits.b. in one fixed orbit at all times.c. at any of an infinite number of distances, depending on its energy.d. counterclockwise.
Answers
Option C ; At any of an infinite number of distances, depending on its energy .
Bohr described the Hydrogen atoms in terms of an electron moving in a circular route about a nexus. He supposed that the electron was confined to certain pathways characterized by separate powers.It explains the emigration and absorption spreads of atomic hydrogen and hydrogen- suchlike ions with low atomic numbers. It was the first model to introduce the generality of a quantum number to describe atomic countries and to postulate quantization of electron pathways in the tittles. Bohr’s model is an important step in the development of quantum mechanics, which deals with multitudinous- electron particles. It was the first model to introduce the conception of a amount number to describe infinitesimal countries and to hypothecate quantization of electron routeways in the snippet. Bohr’s model is an important step in the development of amount mechanics, which deals with numerous- electron tittles.
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In the chemical equation below, which atom type is NOT balanced on the reactant and product sides? Na + MgF2 à 2NaF + Mg Question 6 options: Na Mg F None, they are all balanced.
Answers
Answer:
Na
Explanation:
Reactant side:
1 Na
1 Mg
2 F
Product side:
2 Na
1 Mg
2 F
There is one more Na atom on the product side than the reactant side. To balance this, multiply the Na on the reactant side by 2.
what is the solubility of mgco₃ in water? (ksp of mgco₃ is 3.5 × 10⁻⁸)
Answers
The solubility of MgCO3 in water is 1.8 105 M. MgCO3 has a Ksp of 3.5 108.
Explanation :
What is solubility?
Solubility is the concentration of a substance in a saturated solution at a specified temperature, typically in mol/L or grams per liter (g/L).
What is the Ksp of MgCO₃?
The Ksp for MgCO₃ is 3.5 × 10⁻⁸.
What is the relationship between Ksp and solubility?
Ksp is a measurement of a compound's solubility in water. The smaller the Ksp value, the lower the solubility, and the larger the Ksp value, the greater the solubility.
What is the solubility of MgCO₃?
To answer this question, you must first use the Ksp value for MgCO₃ to calculate the solubility, which is the concentration of Mg²⁺ and CO₃²⁻ in equilibrium with solid MgCO₃.MgCO₃ ⇌ Mg²⁺ + CO₃²⁻
The Ksp for MgCO₃ is given by:Ksp = [Mg²⁺][CO₃²⁻] = 3.5 × 10⁻⁸
The solubility of MgCO₃ in water can be calculated by using this equation:s = solubility of MgCO₃s = (Ksp/[CO₃²⁻])½= (3.5 × 10⁻⁸/1)½= 1.87 × 10⁻⁴M
The solubility of MgCO₃ in water is 1.87 × 10⁻⁴ M.
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what is the proper method to determine the mass number of an isotope
Answers
Answer:
Subtract the atomic number (the number of protons) from the rounded atomic weight. This gives you the number of neutrons in the most common isotope. Use the interactive periodic table at The Berkeley Laboratory Isotopes Project to find what other isotopes of that element exist.
Explanation:
Forms of the same atom that differ only in their number of neutrons are called isotopes. Together, the number of protons and the number of neutrons determine an element's mass number: mass number = protons + neutrons.
what is a correct name of the following molecule? question 11 options: 4-chloro-1,2-dimethylcyclopentane cis-1-chloro-3,4-dimethylcyclopentane trans-1-chloro-3,4-dimethylcyclopentane cis-1-chloro-trans-3,4-dimethylcyclopentane two of the above are acceptable
Answers
The correct name of the molecule depends on the arrangement of the substituents on the cyclopentane ring.
If the chlorine atom and the two methyl groups are on the same side of the ring, the molecule is called cis-1-chloro-3,4-dimethylcyclopentane.
If the chlorine atom and the two methyl groups are on opposite sides of the ring, the molecule is called trans-1-chloro-3,4-dimethylcyclopentane.
Therefore, both "cis-1-chloro-3,4-dimethylcyclopentane" and "trans-1-chloro-3,4-dimethylcyclopentane" are correct names for the molecule, and two of the options provided in the question are acceptable.
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Behind your house, there's a gorgeous pond filled with frogs. You notice that the frogs behind Mr. Archer's house often have three legs. You start wondering if the fertilizer that Mr. Archer uses for his lawn is causing the deformities in the frogs. You collect 10 frogs and put the special fertilizer in their container (Group A). You put another 10 frogs and place them in a different container with just water (Group B). A week later, 7 out of 10 of the frogs in group A grew only three legs. The frogs in group B grew four legs.
What was the control group?
Answers
Answer:
Group B is the control group
Explanation:
In an experiment, a control group is the standard to which comparisons are made in an experiment.
describe the reagents needed for a successful pcr experiment?
Answers
PCR (Polymerase Chain Reaction) is a technique used to amplify a specific DNA fragment in vitro. A successful PCR experiment requires several key reagents, including:
1. Template DNA: The DNA fragment that you want to amplify.
2. Primers: Short pieces of DNA that are complementary to the DNA flanking the region you want to amplify. These serve as starting points for DNA polymerase.
3. Taq polymerase: A DNA polymerase that is heat-stable, meaning it can withstand the high temperatures used in PCR cycles.
4. Deoxynucleoside triphosphates (dNTPs): The building blocks of DNA that are needed for DNA polymerase to add to the growing DNA strand.
5. Buffer solution: A solution that contains optimal salt concentrations and pH to promote PCR amplification.
The PCR reaction requires the repeated heating and cooling of the reaction mixture to promote DNA strand separation and primer annealing. The optimal temperature and time for each step vary depending on the specific PCR protocol used.
The reasoning behind the use of these reagents is that the DNA template, primers, and Taq polymerase are necessary for the amplification of the desired DNA fragment, while dNTPs provide the necessary building blocks for DNA synthesis. The buffer solution provides the optimal environment for Taq polymerase to function and for the PCR reaction to proceed.
A successful PCR experiment requires a template DNA, primers, Taq polymerase, dNTPs, and buffer solution. These reagents work together to amplify a specific DNA fragment in vitro, and the optimal conditions for PCR amplification vary depending on the specific protocol used.
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A solution is 0. 0480 m lif. What is the molarity of the solution if the density is 1. 10 g/ml?.
Answers
Molarity of the solution is 0.0527 M.
What is Molarity?The amount of a substance in a specific volume of solution is known as its molarity (M). The number of moles of a solute per liter of a solution is known as molarity. The molar concentration of a solution is another name for molarity.
Calculation of Molarity of the solutionAssume there is 1 kg of solvent present in the beginning.
Thus, the mole of solute is 0.0480 moles of LiF.
Molar mass of LiF = 25.939 grams/mole
0.0480 mol LiF x 25.939 g/1 mol LiF = 1.245 g LiF
Mass of the solution = 1001.245 g
The molarity of the solution can be determined as illustrated using the supplied density and moles of solute.
[LiF] = mol LiF/ volume of solution
[LiF] = 0.0480 mol/1001.245 g x 1ml/1.10g x 1L/1000mL
Hence, the molarity of LiF = 0.0527 M
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PLEASE HELP NEED AN ANSWER ASAP!!!!
PICTURES BELOW!!!!
Two graphs above show a catalytic reaction, which color of balls represents a catalyst?
Select one:
a. Purple
b. Blue
c. Red
d. Green
Answers
The reaction that will probably power the first commercial fusion reactor is³₁H + ²₁H → ⁴₂He + ¹₀nHow much energy would be produced per mole of reaction? (Masses of atoms: ³₁H =3.01605 amu; ²₁H=2.0140 amu; ⁴₂He =4.00260 amu; mass of ¹₀n =1.008665 amu.)
Answers
The moderator of a nuclear reactor is a substance that slows neutrons down. In traditional nuclear reactors, the moderator is the same thing as the coolant: it’s water! When fast neutrons strike the hydrogen atoms in H2O, they slow down a lot (like a billiard ball striking another). There are other good moderators like graphite, beryllium, and more.
What is moderator ?Other neutrons are released at extremely high speeds when an incoming neutron splits an atom's nucleus. A sustained chain reaction is achievable if at least one (on average) of these neutrons can be made to split another fuel atom. In fact, if a neutron is traveling slowly, fuel atoms (like uranium) are more likely to absorb it (see Figure 1). In order to make a chain reaction easier to achieve, moderators are used in many reactor designs.
Neutrons can be slowed down more effectively in some materials than others. Because of the rules of conservation of energy and momentum, a neutron (mass 1) colliding with a heavy nucleus like a fuel atom cannot significantly slow down (mass 235).
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Medium fine steel wool has a strand diameter of 0.002 inch. If 100 g of this steel wool were burned, what mass of iron oxide would you expect to be produced?
Answers
Assuming that the steel wool is made entirely of iron, the percentage of iron in the steel wool is 100%. We can then calculate the mass of iron in the steel wool by multiplying the total mass by the percentage of iron:
Mass of iron = 100 g x 100% = 100 g
Next, we need to use the balanced chemical equation for the combustion of iron:
4Fe + 3O2 → 2Fe2O3
From the equation, we can see that 4 moles of iron react with 3 moles of oxygen to produce 2 moles of iron oxide.
The molar mass of iron is 55.845 g/mol, and the molar mass of iron oxide (Fe2O3) is 159.69 g/mol.
Using the mole ratio from the balanced chemical equation, we can calculate the moles of iron oxide produced:
Moles of Fe2O3 = (2/4) x (100 g / 55.845 g/mol) = 0.714 mol
Finally, we can use the molar mass of iron oxide to calculate the mass of iron oxide produced:
Mass of Fe2O3 = 0.714 mol x 159.69 g/mol = 113.97 g
Therefore, when 100 g of medium fine steel wool with a strand diameter of 0.002 inch is burned, we would expect to produce 113.97 g of iron oxide
35.00 ml of a 0.30 m hcl solution is titrated with 0.35 m naoh. what is the ph of the solution after 40.00 ml of the naoh has been added?
Answers
12.67 is the pH of the solution after 40.00 ml of the Noah has been added.
What is pH ?
Acids and bases can be determined using a pH scale. The scale ranges from 0 to 14. Litmus paper is used as a test to determine whether a substance is an acid or a base. The type of chemical being tested is indicated by the color of the paper, which matches the pH scale's numbers. An example of an acid is vinegar, which has a pH of 2.4.
The pH scale, which is logarithmic, displays the hydrogen ion concentration in the solution in the opposite direction. A solution's pH is more precisely determined by dividing its hydrogen ion concentration in moles per liter by its negative logarithm to base 10.
The genesis of the pH scale can be traced to a number of widely accepted standard solutions. Calculating the potential difference between a hydrogen electrode and a standard electrode, such as the silver chloride electrode, yields the major pH standard values in a concentration cell with transference.
A glass electrode, pH meter, or color-changing indicator can be used to measure the pH of aqueous solutions.
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A total of 8 L of He is stored at sea level (1013 mb). If the gas is carried to the top of a mountain where the pressure is 500 mb, what volume will it occupy if the temperature and mass are held constant?
Answers
Here, the final volume can be determined using Boyle's law. The volume at 1013 mb pressure is 8 L. Then the volume at 500 mb will be 16 L.
What is Boyle's law ?Boyle's law states that, at constant temperature, the volume of a gas is inversely proportional to the pressure of the gas.
Hence, PV = a constant.
Let P1 and V1 be the initial pressure and volume and P2 and V2 be the final pressure and volume then we can write it as,
P1 V1 = P2 V2.
Given that, P1 = 1013 mb
P2 = 500 mb
V1 = 8 l
V2 = P1 V1 / P2
V2 = 1013 mb × 8 L /500 mb
= 16 L.
Therefore, the volume of the gas at a pressure of 500 mb is 16 l.
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A 0.582 mol sample of an ideal gas is at 15°C and 18.8 atm. Calculate the volume for this gas.
Answers
Answer: The volume for this gas is 0.732 L.
Explanation:
Given : No. of moles = 0.582 mol
Temperature = \(15^{o}C = (15 + 273) K = 288 K\)
Pressure = 18.8 atm
Using the ideal gas equation, volume for the given gas is calculated as follows.
PV = nRT
where,
P = pressure
V = volume
n = number of moles
R = gas constant = 0.0821 L atm/mol K
T = temperature
Substitute the values into above formula.
\(PV = nRT\\18.8 atm \times V = 0.582 mol \times 0.0821 L atm/mol K \times 288 K\\V = \frac{0.582 mol \times 0.0821 L atm/mol K \times 288 K}{18.8}\\= \frac{13.761}{18.8}\\= 0.732 L\)
Therefore, it can be concluded that the volume for this gas is 0.732 L.
True or False (+2 Points Possible each): Write true if the statement is true. If false, replace
the underlined word with the correct word in the space provided.
1. Radiation is the transfer of energy through space.
2. Molten rock rises in Earth's mantle caused by gravity.
3. Fossils provide evidence of sea-floor spreading.
4. Older, denser Earth material sinks below younger material
known as subduction.
5. Convergent boundaries
move plates towards each other
mountains.
is
forming
PLEASE HELP ASAP THIS IS DUE BY MIDNIGHT!
Answers
Answer:
2. Molten rock rises in Earth's mantle caused by (pressure)
Explanation:
i think i just had a similar question
Which of the following best defines one mole of a substance? (5 points) Mass, in grams, of each particle of the substance Mass, in grams, of the nucleus of the substance's atoms Amount of substance present in one atom of the substance Amount of substance present in Avogadro's number of particles of the substance
Answers
Answer: The mole, symbol mol, is the SI base unit of amount of substance. The quantity amount of substance is a measure of how many elementary entities of a given substance are in an object or sample.
Explanation:
Pls I need help urgently. What can be predicted about meniscus formation if the adhesion and cohesion forces were equal in the graduated cylinder?
Answers
Answer: Flat. The meniscus will be flat/neutral with no curves if adhesion and cohesion are equal.
Sea floor spreading occurs at a mid-ocean ridge true or false
Answers
Answer:
False
Explanation:
sea floor spreading is not consistent at all mid ocean ridges.
Study the Atomic radius (nm) Ionic radius (nm) 0.114 0.195 0.072 0.136 0.133 0.216 Z 0.099 0.181 (a) Would these form part of a metallic or a non-metallic group? Explain (b) Suggest an element in the table above likely to be the most reactive. Explain Element W X Y
Answers
By the comparing the atomic radii of all of the elements, one can notice that they are very small. Hence it shows that they may be non-metallic group.
Reactivity in components can be affected by different variables, such as electron setup and electronegativity and as such since all are low and there is no much information, it is hard to know which is mostly reactive
What is the atomic radius?Metallic elements for the most part have bigger nuclear radii compared to non-metallic components. since metallic elements tend to lose electrons and shape cations, coming about in a lower form in successful atomic charge and a boast in nuclear form.
Note that from the question:
Element W = atomic radius of 0.114 nm
an ionic radius of 0.195 nm.
Element X = atomic radius of 0.072 nm
an ionic radius of 0.136 nm.
Element Y = atomic radius of 0.133 nm
an ionic radius of 0.216 nm.
Element Z = atomic radius of 0.099
an ionic radius of 0.181
Non-metallic components, on the other hand, tend to pick up electrons and shape anions, coming about in a littler nuclear estimate.
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The specific heat of water is 4.18 J/g•°C. How much heat does 225.0 g of water release when it cools from 85.5°C to 50.0°C?
Answers
225.0 g of water releases -33,646.125 J of heat energy when it cools from 85.5°C to 50.0°C.
To calculate the amount of heat released when water cools, we can use the formula:
Q = m * c * ΔT
Where:
Q is the heat energy in joules,
m is the mass of the water in grams,
c is the specific heat of water in J/g•°C,
ΔT is the change in temperature in °C.
Given:
m = 225.0 g
c = 4.18 J/g•°C
ΔT = (50.0°C - 85.5°C) = -35.5°C (negative because the water is cooling)
Substituting these values into the formula, we have:
Q = 225.0 g * 4.18 J/g•°C * (-35.5°C)Q = -33,646.125 J
The negative sign indicates that heat is being released by the water as it cools. Therefore, 225.0 g of water releases -33,646.125 J of heat energy when it cools from 85.5°C to 50.0°C.
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The questions below will assess your knowledge of the management of poison. Choose whether the following statements on poison control are appropriate or inappropriate.
Ingestion of a toxic substance is the only way a poisoning can occur.
a. Appropriate
b. Inappropriate
Answers
It is inappropriate that Ingestion of a toxic substance is the only way a poisoning can occur.
A poison can be any substance that is harmful to the body. It can be swallowed, inhaled, injected or absorbed through the skin. Poisoning is the harmful effect that occurs when too much of that substance has been taken. Poisoning is not to be confused with envenomation.
Acute poisoning is exposure to a poison on one occasion or during a short period of time. Symptoms develop in close relation to the degree of exposure. Absorption of a poison is necessary for systemic poisoning (that is, in the blood throughout the body)
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Atomic number of Silicon..
Answers
Explanation:
Atomic number of Silicon..=14
Answer:
14
when liquid (at m.p. ) Silicon is a chemical element with the symbol Si and atomic number 14. It is a hard, brittle crystalline solid with a blue-grey metallic lustre, and is a tetravalent metalloid and semiconductor.
Explanation:
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What is the coefficient for the water molecule product in the balanced equation for the oxidation of ethanol with KMnO4 to give acetic acid and MnO2 under mild acidic conditions
Answers
The coefficient for the water molecule product in the balanced equation for the oxidation of ethanol with KMnO₄ is 3.
The balanced equation for the oxidation of ethanol (C₂H₅OH) with potassium permanganate (KMnO₄) under mild acidic conditions to yield acetic acid (CH₃COOH) and manganese dioxide (MnO₂) is as follows:
3 C₂H₅OH + 2 KMnO₄ + 3 H₂SO₄ → 3 CH₃COOH + 2 MnO₂ + K₂SO₄ + 3 H₂O
In this reaction, the coefficient for the water molecule (H₂O) product is 3. The oxidation process involves the transfer of electrons from ethanol to the potassium permanganate, resulting in the formation of acetic acid and the reduction of the Mn(VII) ion to Mn(IV), which precipitates as MnO₂. The mild acidic conditions are provided by the presence of sulfuric acid (H₂SO₄).
The balanced equation ensures that the number of atoms for each element on both sides of the equation remains equal, complying with the law of conservation of mass. The coefficients in the equation represent the stoichiometric ratios of the reactants and products involved in the reaction.
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Hydrogen gas reacts with oxygen gas to form water. At STP, how many liters of hydrogen gas react with 32.4 liter of oxygen gas? (H2 + O2 -> H2O)
Answers
Answer:
I think its 1.2L? i may be wrong
Explanation:
Recall old Avogadro's hypothesis...........
Equal volumes of gases contain AN EQUAL NUMBER of PARTICLES
And thus if there are
2.4
⋅
L
of dihydrogen, stoichiometric equivalence requires
1.2
⋅
L
of dioxygen. How many litres of water g
Fill in the missing reagents or structures associated with the following multi-step synthetic sequence. Reagent choices are (PCC,DCM), (1. O3 2. MeOH), (NaOH), (MeOH, H2SO4), (1. O3 2. Me2S), (NaOMe, NaOH)
Answers
In order to help you with the multi-step synthetic sequence, I'll outline a possible reaction pathway using the reagents provided. Since the specific structure of the starting material is not given, I'll use generic terms to describe the functional groups that will undergo transformations:
1. Start with an alkene (structure A).
2. (1. O3 2. Me2S): Perform ozonolysis on the alkene to generate an aldehyde (structure B).
3. (PCC, DCM): Oxidize the aldehyde to a carboxylic acid (structure C) using pyridinium chlorochromate (PCC) in dichloromethane (DCM) as the solvent.
4. (NaOMe, NaOH): Convert the carboxylic acid (structure C) to a methyl ester (structure D) using sodium methoxide (NaOMe) in the presence of sodium hydroxide (NaOH) as a base.
5. (MeOH, H2SO4): Perform a hydrolysis reaction on the methyl ester (structure D) using methanol (MeOH) and sulfuric acid (H2SO4) as the catalyst to form a carboxylic acid (structure E).
6. (1. O3 2. MeOH): Perform ozonolysis again on any remaining alkene groups in the molecule to create a final product (structure F).
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Any individual offspring produced through a sexual reproduction is always,
Answers
Answer:
Any individual offspring produced through asexual reproduction is always: genetically identical to its parent. made up of cells with a cell wall. different from all of its siblings
what is mass of sodium hydroxide NaOH is present in 0.25 mole of sodium hydroxide
pls be quick
Answers
Finding molar mass of NaOH
We know that
Molar mass of Sodium (Na) = 23 g/mol
Molar mass of Oxygen (O) = 32 g/mol
Molar mass of Hydrogen (H) = 2 g/mol
So,
Mass of 1 mole of NaOH
=> 1 × 23 + 1 × 16 + 1 × 1
=> 23 + 16 + 1
=> 40 g/mol
Now,
Mass = 40 × 0.25
Mass = 10 g
Complete combustion of a 0.350 g sample of a compound in a bomb calorimeter releases 14.0 kJ of heat. The bomb calorimeter has a mass of 1.20 kg and a specific heat of 3.55 J/(gi°C).
If the initial temperature of the calorimeter is 22.5°C, what is its final temperature?
Use q equals m C subscript p Delta T..
19.2°C
25.8°C
34.2°C
72.3°C
Answers
The compounds in a calorimeter releases 14.0 kJ of heat, but the heat it also generates will be equivalent to the heat the calorimeter gains.
Mass, specific heat, and temperature change are all components of heat energy.
Thus, 14000 J equals 1200 g times 3.55 (x-22.5) 14000 equals 4260 (x-22.5) x-22.5 equals 3.286 x, which equals 25.786 25.9
This means that the final temp is 25.8 °C.
What is the purpose of a calorimeter?The volume & heat is produced during a specific time period are measured using calorimeters. The flow is then routed through a tank that contains some water that has been pre-weighed and thermally characterized.
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