Answer:D. 2857 joules
Explanation:
Not going to lie I guessed but got it right
According to specific heat capacity, 3596.208 joules of energy is required to heat 0.24 kg of lutetium from 296.2 K to 373.5 K.
What is specific heat capacity?Specific heat capacity is defined as the amount of energy required to raise the temperature of one gram of substance by one degree Celsius. It has units of calories or joules per gram per degree Celsius.
It varies with temperature and is different for each state of matter. Water in the liquid form has the highest specific heat capacity among all common substances .Specific heat capacity of a substance is infinite as it undergoes phase transition ,it is highest for gases and can rise if the gas is allowed to expand.
It is given by the formula ,
Q=mcΔT
Substitution in above formula gives, q= 0.24×154×97.3=3596.208 Joules.
Thus, 3596.208 joules of energy is required to heat 0.24 kg of lutetium from 296.2 K to 373.5 K.
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Radioactive isotope X has a half-life of 500,000 years. This isotope may be found in some types of volcanic rocks. A particular sample of volcanic rock taken from a layer that covered up some of the earliest known human-like footprints contains 0.125 mg of isotope X. The volcanic rock sample originally contained 8.00 mg of isotope X. How long ago were these footprints made. I need the equation. Thanks. please I am stuck on this question. PLEASE
Answer: The footprints were made [tex]2.99\times 10^6years[/tex] years long ago.
Explanation:
Radioactive decay follows first order kinetics.
Half-life of isotope X= 500,000 years
[tex]\lambda =\frac{0.693}{t_{\frac{1}{2}}}=\frac{0.693}{500000}=0.00000139year^{-1}[/tex]
The equation for first order kinetics is :
[tex]N=N_o\times e^{-\lambda t}[/tex]
N = amount left after time t = 0.125 mg
[tex]N_0[/tex] = initial amount = 8.00 mg
[tex]\lambda[/tex] = rate constant
t= time
Putting the values we get:
[tex]0.125=8.00\times e^{- 0.00000139years^{-1}\times t}[/tex]
[tex]0.0156=e^{- 0.00000139years^{-1}\times t}[/tex]
[tex]t=2.99\times 10^6years[/tex]
The footprints were made [tex]2.99\times 10^6years[/tex] years long ago.
Radioactive isotope X has a half-life of 500,000 years. This isotope may be found in some types of volcanic rocks. A particular sample of volcanic rock taken from a layer that covered up some of the earliest known human-like footprints contains 0.125 mg of isotope X. The volcanic rock sample originally contained 8.00 mg of isotope X. How long ago were these footprints made. I need the equation. Thanks. please I am stuck on this question. PLEASE
Answer:
The age of the earliest known human-like footprints is approximately 3000000 years.
Explanation:
Decay of isotopes is represented by the following ordinary differential equation:
[tex]\frac{dm}{dt} = -\frac{m}{\tau}[/tex] (Eq. 1)
Where:
[tex]\frac{dm}{dt}[/tex] - First derivative of mass with respect to time, measured in miligrams per year.
[tex]m[/tex] - Current mass of the isotope, measured in miligrams.
[tex]\tau[/tex] - Time constant, measured in years.
Now we proceed to obtain the solution of the differential equation:
[tex]\int\limits {\frac{dm}{m} } = -\frac{1}{\tau}\int dt[/tex]
[tex]\ln m = -\frac{t}{\tau}+C[/tex]
[tex]m(t) = e^{-\frac{t}{\tau}+C }[/tex]
[tex]m(t) = m_{o}\cdot e^{-\frac{t}{\tau} }[/tex] (Eq. 2)
Where:
[tex]m_{o}[/tex] - Initial mass of the isotope, measured in miligrams.
[tex]t[/tex] - Time, measured in years.
[tex]\tau[/tex] - Time constant, measured in years.
We proceed to clear time within the formula presented above:
[tex]\ln \frac{m(t)}{m_{o}} = -\frac{t}{\tau}[/tex]
[tex]t = -\tau \cdot \ln \frac{m(t)}{m_{o}}[/tex]
In addition, time constant can be found as a function of half-life:
[tex]\tau = \frac{t_{1/2}}{\ln 2}[/tex] (Eq. 3)
If we know that [tex]t_{1/2} = 500000\,yr[/tex], [tex]m_{o} = 8\,mg[/tex] and [tex]m(t) = 0.125\,mg[/tex], the age of the earliest known human-like footprints is:
[tex]\tau = \frac{500000\,yr}{\ln 2}[/tex]
[tex]\tau \approx 721347.520\,yr[/tex]
[tex]t = -(721347.520\,yr)\cdot \ln \left(\frac{0.125\,mg}{8\,mg} \right)[/tex]
[tex]t \approx 3000000\,yr[/tex]
The age of the earliest known human-like footprints is approximately 3000000 years.
During which process of the water cycle does water change from gas to liquid
Which statement best explains how the passage fits
the realistic fiction genre?
Answer:
It seems believable and familiar.
Explanation:
Plz mark Brainlest
Where in equation for photosynthesis does carbon dioxide belong
Answer:
The equation for photosynthesis is 6 CO2 + 6 H2O + light --> C6H12O6 + 6 O2, so carbon dioxide will be found in the reactant part of the equation.
How much force is required to accelerate a 12 kg mass at 5 m/s2?
Answer:
The answer is 60 NExplanation:
The force acting on an object given it's mass and acceleration can be found by using the formula
force = mass × acceleration
From the question we have
force = 12 × 5
We have the final answer as
60 NHope this helps you
1. Calculate the number of moles in each of the following masses:
a. 64.1 g of aluminum ans: 2.38 mol Al show work
Answer:
2.38 mol of Al
Explanation:
To find the number of moles in a substance, you simply divide by the atomic mass. In this case, the conversion table would look as follows:
[tex]\frac{64.1 g}{1}[/tex] * [tex]\frac{1 mol}{26.98 g}[/tex]
The gram units cancel, and you are left with the answer of about 2.38 moles of Aluminum.
PLEASE APEZ HELP I DONT UNDERSTAND
A teacher placed a plastic cup of warm coffee with a lid in the freezer.
Which statement describes the frozen coffee in comparison with the warm
coffee?
A. The amount of coffee is the same.
B. The speed of the coffee molecules has increased.
C. The temperature of the coffee has increased.
D. The arrangement of the coffee molecules is the same.
Answer: The answer is A
Explanation:.
.) If a solution had a pH level of 13.2, it would be considered a:
O A. strong base
O B. weak base
O C. strong acid
O D. weak acid
does this picture show a physical or chemical change?
Answer:
Those photos are a chemical change
How many moles (of molecules or formula units) are in each sample?
A) 32.66 g CF2Cl2
B) 24.2 kg Fe (NO3) 2
C) 0.5912 g C8H18
D) 104 kg CaO
Express all answers to 4 sig figs
Answer:
A = 1.627 ×10²³ molecules of CF₂Cl₂.
B = 809.4 ×10²³ molecules of Fe(NO₃)₂.
C = 0.03117 ×10²³ molecules of C₈H₁₈.
D= 1116 ×10²³ molecules of CaO.
Explanation:
A)
Given data:
Mass of CF₂Cl₂ = 32.66 g
Number of moles = ?
Number of molecules = ?
Solution:
Number of moles = mass/ molar mass
Number of moles = 32.66 g/ 120.9 g/mol
Number of moles = 0.2701 mol
Number of molecules:
1 mole = 6.022×10²³ molecules
0.2701 mol×6.022×10²³ molecules / 1mol = 1.627 ×10²³ molecules of CF₂Cl₂.
B) Given data:
Mass of Fe(NO₃)₂ = 24.2 Kg (24.2×1000 = 24200 g)
Number of moles = ?
Number of molecules = ?
Solution:
Number of moles = mass/ molar mass
Number of moles = 24200 g/ 180 g/mol
Number of moles = 134.4 mol
Number of molecules:
1 mole = 6.022×10²³ molecules
134.4 mol×6.022×10²³ molecules / 1mol =809.4 ×10²³ molecules of Fe(NO₃)₂.
C) Given data:
Mass of C₈H₁₈= 0.5912 g
Number of moles = ?
Number of molecules = ?
Solution:
Number of moles = mass/ molar mass
Number of moles = 0.5912 g/ 114.22 g/mol
Number of moles = 0.005176 mol
Number of molecules:
1 mole = 6.022×10²³ molecules
0.005176 mol×6.022×10²³ molecules / 1mol =0.03117 ×10²³ molecules of C₈H₁₈.
D) Given data:
Mass of CaO = 104 Kg (104×1000 = 104,000 g)
Number of moles = ?
Number of molecules = ?
Solution:
Number of moles = mass/ molar mass
Number of moles = 104,000 g/ 56.1 g/mol
Number of moles = 1854 mol
Number of molecules:
1 mole = 6.022×10²³ molecules
1854 mol×6.022×10²³ molecules / 1mol = 1116 ×10²³ molecules of CaO.
Which two models can be classified as elements
Answer:
First One And Third Pls Mark Brainlest
Explanation:
14.600 oz = ____g
(HELP ME PLEASE)
Answer:
The answer is 414.64 g the other answer is wrong
Explanation:
I took this assignment and got this question right
A student dissolved a 0.139g sample of oxalic acid, H2C2O4, in water in an Erlenmeyer flask. Then the student titrated the H2C2O4 solution in the flask with a solution of KMnO4, which has a dark purple color. The balanced chemical equation for the reaction that occurred during the titration is shown above. (a) Identify the species that was reduced in the titration reaction. Justify your answer in terms of oxidation numbers.
Answer:
MnO4 − was reduced
C2 O4^2- was oxidized
Explanation:
2MnO4 −(aq) +5H +(aq) +2 C2 O4^2-(aq) +6H+(aq) →2Mn2+(aq) + 10CO2(g) +8H2 O(l)
A redox reaction is characterized by a change in the oxidation number of reacting species from left to right in the reaction equation.
If we look at Manganese, its oxidation number was decreased from +7 on the left hand side to +2 on the right hand side. This implies that it gained five electrons. recall that reduction refers to electron gain.
If we look at carbon, its oxidation number increased from +3 on the left hand side to +4 on the right hand side. This indicates loss of one electron and oxidation refers to electron loss.
MnO₄⁻ was reduced and C₂O₄²⁻ was oxidized in the titration.
The balanced chemical equation for the reaction can be expressed as:
[tex]\mathbf{6H^+_{(aq0} + 2MnO_4^-_{(aq)} + 5H_2C_2O_4 _{(aq)} \to 10CO_{2(g)} +8H_2O_{(l)} + 2Mn^{2+}_{(aq)}}[/tex]
A redox reaction can be described by a variation in the oxidation number of reacting species in the chemical reaction equation from the reactant side to the product side
Oxidation takes place when a substance(atom, molecule, or compound) loses an electronReduction occurs when a substance gains an electron.Let consider Mn in MnO₄⁻, its oxidation number was decreased from +7 on the reactant side to +2 on the product side. This shows a gain of additional five electrons.
Thus, MnO₄⁻ is reduced.
Also in C₂O₄²⁻, the oxidation number of carbon increases from +3 on the reactant side to +4 on the product side. Since an electron is lost, then oxidation occurs at C₂O₄²⁻
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How do the rock cycle and the carbon cycle relate to each other?
Answer:
Through a series of chemical reactions and tectonic activity, carbon takes between 100-200 million years to move between rocks, soil, ocean, and atmosphere in the slow carbon cycle. ... The acid dissolves rocks—a process called chemical weathering—and releases calcium, magnesium, potassium, or sodium ions.
if an object has a mass of 30 grams and a volume of 6 cubic cm. what is its density
Answer:
5
Explanation:
mass/volume = density
30/5 = 5
True or False?
Solubility and melting point are two examples of physical properties.
Answer: True
Explanation:
Solubility is a physical property. The reason is because it can be determined by simple observation and does not change the chemical composition of the material. If the material is soluble, the solubility is the maximum amount of material that dissolves in a solvent at a given temperature.
A physical property is a characteristic of matter that is not associated with a change in its chemical composition. Familiar examples of physical properties include density, color, hardness, melting and boiling points, and electrical conductivity.
Answer: True
Explanation: These are both examples of physical properties
which statement describes what happens inside
a liquid thermometer that shows an increase in
temperature?
a. the volume of the liquid decreases because
of an increase in kinetic energy.
b. the movement of the particles decreases
because of a decrease in kinetic energy. .
c. the volume of the liquid increases because
the movement of the particles decreases.
d. the movement of the particles increases
because of an increase in kinetic energy.
Answer:the volume of the liquid increases
Explanation:
PLeaseee Help Asap!!!
Explain the term rate of a chemical reaction.
Answer:
The rate of a reaction is a measure of how quickly a reactant is used up, or a product is formed.
Explanation:
PLEase help i will give brainliest
Consider the information provided in experiment #3 Figure 2. Three different variables are compared for C3H8 (propane) and H2O (water). The strength of the intermolecular forces are responsible for the behavior of the two compounds.
Identify the intermolecular force for the two compounds.
Which one is stronger?
Explain how the strength of intermolecular forces plays a role in at least two of the properties (volatility, boiling point, or surface tension) for C3H8 (propane) and H2O (water).
Cite evidence from the data to explain your reasoning.
Experiment #3: The student follows study #2 with a comparison of propane (C3H8) and water. Volatility is the tendency for a substance to vaporize and it was found that propane vaporizes quickly while water vaporized slowly. Surface tension is a physical property equal to the amount of force per unit area necessary to expand the surface of a liquid. It is this phenomenon which allows a water strider or lizard to run across the surface of water.
Answer:
what kind of school u doin? lol
What is a polar molecule?
A. A molecule with symmetrical polar covalent bonds
B. A molecule with symmetrical nonpolar covalent bonds
C. A molecule with a negative pole and a positive pole
D. A molecule with two atoms of the same electronegativity
Explanation:
A molecule with a negative pole and a positive pole is called a polar molecule.
(d) A molecule with two atoms of the same electronegativity
What is meant by a polar molecule?A polar molecule is usually formed when the one end of the molecule is said to possess more positive charges and whereas the opposite end of the molecule has negative charges, creating an electrical pole.
What is a polar molecule example? Water (H2O) is a polar molecule. The bonds between hydrogen and oxygen are distributed so that the hydrogen atoms are both on one side of the oxygen atom rather than evenly spaced.Sodium Chloride (NaCl) which is an ionic compound acts as a polar molecule. Usually, the large difference in electronegativities in sodium and chlorine makes their bond polar.Learn more about polar molecule on https://brainly.com/question/11405437
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HELP PLEASE!!!
chemistry question
Answer:
Its going to be D) In sigma bonds the electrons are in the space between the joined atoms and pi bonds above and below the joined atoms
A train travels at an average speed of 25 miles per hour. How long does it take the train to travel 2000 miles?
nevermind. I was wrong. I didn't see the other answers
What kinds of organisms have "naked" DNA?
Answer:
The DNA in prokaryotes is naked DNA.
Explanation:
Prokaryotes have cell walls which are a network of fibres that provides the cell with strength and rigidity. This network in the cell wall allows the cell to be freely permeable. These differ from eukaryotes which have a nucleus containing genetic information (DNA).
Which has the least potential energy?
gases
liquids
solids
Answer
The answer is SOLIDS
Explanation:
What are the solvent and solute in a solution containing 100 grams of ethanol and 3 grams of sucrose?
Answer: I think the ethanol in the solute and the sucrose is the solvent. Hope this helps!
Explanation: i learned this last year I think it is right?
A solvent is a chemical that dissolves a solute to produce a uniform solution. A solute is a substance that dissolves in a solvent, resulting in a homogeneous mixture. The solute is sucrose, and the solvent is ethanol.
What is meant by solution ?A solution is a well-mixed solution in a solvent of one or more dissolved solutes. A solute is a substance that dissolves another substance, creating a continuous medium. A solute is a substance that dissolves in a solvent, resulting in a homogeneous mixture.A solution is formed when one substance dissolves or degrades into another. A solute is any substance that dissolves to form a solution. A solvent is a chemical that is used to disperse a solute. The solute in a sugar-water solution is sugar, and the solvent is water. A solution is a homogeneous mixture of two or more particles with diameters less than one Nano meter.To learn more about Solution, refer to:
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2. Mixtures can be solid, liquid or gas. It can be homogeneous or
heterogeneous and are made up of two or more components. Which of
the following mixtures where components are not visible??
Answer:
A solution is a special type of homogeneous mixture where the ratio of solute to solvent remains the same throughout the solution and the particles are not visible with the naked eye, even if homogenised with multiple sources.
Explanation:
Mixtures can be either homogeneous or heterogeneous': a mixture in which constituents are distributed uniformly is called homogeneous, such as salt in water, otherwise it is called heterogeneous, such as sand in water.
helppppppppppppppppppppppppppppppppppppppppppppppppp
Answer: it is a
Explanation:
Is Magnesium less reactive than Aluminum ? Yes or No
Answer:
The answer is no
Answer:
yes
Explanation:
some metals are reactive than others. Example: (a) Magnesium is more reactive than silver. (b) Magnesium reacts with oxygen but silver doesn't because magnesium is more reactive than silver.
please mark me brainliest hope this helps! god bless