thick carpet!!!Answer:
Explanation:
just got right on quiz:)
Question 5 OT 5
At which temperature do particles stop moving entirely?
O A. 0°C
O B. 32 K.
O C. 32°F
O D.OK
A column of liquid is found to expand linearly on heating. Assume the column rises 5.25 cm for a 10.0oF rise in temperature. If the initial temperature of the liquid is 95.1oF, what will the final temperature be in oC if the liquid has expanded by 18.6 cm?
The final temperature of the liquid that expanded by 18.6 cm, given that the column rises 5.25 cm for a 10.0°F rise in temperature and the initial temperature is 95.1°F, is 114.6°C.
First, we need to find the temperature coefficient of the expansion of the liquid. This can be calculated by dividing the expansion per unit length by the change in temperature:
α = (ΔL/LΔT)
Where α is the temperature coefficient of expansion, ΔL is the change in length, L is the original length, and ΔT is the change in temperature.
Using the given values, we get:
α = (5.25 cm/100.0 °F) = 0.0525 cm/°F
Next, we can use this coefficient to find the temperature change required to produce an expansion of 18.6 cm:
ΔL/L = αΔT
ΔT = ΔL/(Lα) = (18.6 cm)/(100 cm * 0.0525 cm/°F) = 353.33 °F
Finally, we can convert the final temperature from °F to °C:
Final temperature = (95.1 °F + 353.33 °F - 32 °F) × 5/9 = 114.6 °C
Therefore, the final temperature of the liquid will be 114.6°C.
To know more about initial temperature, refer here:
https://brainly.com/question/2264209#
#SPJ11
Where would you expect light waves to move fastest?
A. Through an iceberg
B. On a mountaintop
C. In space
D. Under the sea
In space light waves move fastest, which is C. This is due to the fact that space is completely open and unrestricted and contains nothing that would do so.
What is Light waves?
The region of the electromagnetic spectrum that the human eye perceives as light, or visible light, is made up of electromagnetic radiation. Typically, visible light is characterised as having wavelengths between 400 and 700 nanometers (nm), or frequencies between 750 and 420 terahertz, which fall between the longer-wavelength infrared and the shorter-wavelength ultraviolet (with shorter wavelengths). The term "light" in physics can be used to more broadly describe electromagnetic radiation of any wavelength, whether or not it is visible. Gamma rays, X-rays, microwaves, and radio waves are all forms of light in this sense. Intensity, propagation direction, frequency or wavelength spectrum, and polarisation are the four main characteristics of light.
To learn more Light waves
https://brainly.com/question/15033563
#SPJ9
The number of molecules in 48.0 grams of oxygen gas (O2) is...
O 6.02 x 1023
O 1.81 x 1024
O 1.20 x 1024
9.03 x 1023
Answer:
9.033 × 10²³ molecules
Explanation:
Given data:
Mass of oxygen = 48.0 g
Number of molecules = ?
Solution:
Number of moles of oxygen:
Number of moles = mass/molar mass
Number of moles = 48.0 g/ 32 g/mol
Number of moles = 1.5 mol
Avogadro number:
The given problem will solve by using Avogadro number.
It is the number of atoms , ions and molecules in one gram atom of element, one gram molecules of compound and one gram ions of a substance. The number 6.022 × 10²³ is called Avogadro number.
1 mole = 6.022 × 10²³ molecules
1.5 mol × 6.022 × 10²³ molecules / 1mol
9.033 × 10²³ molecules
Ayuda por favor no entiendo nada voy a reprobar 2- Completa el siguiente cuadro indicando la cantidad de partículas subatómicas fundamentales para cada uno de los siguientes átomos: Atomos | N° atómico | N° de protones | N° de electrones | N° de neutrones 7 Li 20Ne 35Cl 31P 80Br 14C
Answer:
Explanation:
Litio -7 (⁷₃Li)
número de protones = 3
número de electrones = 3
número de neutrones = 4
Neon- 20 (²⁰₁₀Ne)
número de protones = 10
número de electrones = 10
número de neutrones = 10
Cloro - 35 (³⁵₁₇Cl)
número de protones = 17
número de electrones = 17
número de neutrones = 18
Fósforo - 31 (³¹₁₅P)
número de protones = 15
número de electrones = 15
número de neutrones = 16
Bromo - 80 (⁸⁰₃₅Br)
número de protones = 35
número de electrones = 35
número de neutrones = 45
Carbono - 14 (¹⁴₆C)
número de protones = 6
número de electrones = 6
número de neutrones = 8
Identify the key differences between the Articles of Confederation and the U.S. Constitution. Then explain which document created the better system of government for the new nation, and support your response with the differences you have identified.
22 POINTS + WILL RATE BRAINLEST!!!!!
The key differences between the Articles of Confederation and the U.S Constitution is the article of confederation is sovereignty in states and the constitution is expand the governments authority.
The document created the better system of government for the new nation is the US constitution.
The Article of confederation , the state have stronger power than the central power and in the US constitution , the power of central government is stronger than the states. The important development was the establishment of three departments. There are three departments of government that is legislative , executive and judicial.
Thus, The key differences between the Articles of Confederation and the U.S. Constitution is the article of confederation is sovereignty in states and the constitution is expand the governments authority.
To learn more about US Constitution here
https://brainly.com/question/29027032
#SPJ1
Which measure of gas does the expression nRTP represent?
A. volume
B. number of moles
C. molar mass
D. gas constant
We have that the expression nRT/P represent
. Volume
V=nRT/P
Option A
From the question we are told
Which measure of gas does the expression nRT/P represent?
A. volume
B. number of moles
C. molar mass
D. gas constant
Generally the equation for the ideal gas is mathematically given as
PV=nRT
Where
P=pressure
V=volume
R=gas constant
n=Number of Moles
T=Temperature
Therefore
V=nRT/P
Option A
For more information on this visit
https://brainly.com/question/17756498
Answer:
Volume
Explanation:
I took the test
calculate the energy (in joules) released per mole for the nuclear fusion reaction 2 1h 3 1h ------- > 4 2he 1 0n use these masses in the calculation: 2 1h 2.01410 amu, 3 1h 3.01605 amu, 4 2he 4.00260 amu, and 1 0n is 1.00866492 amu
To calculate the energy released per mole for the given nuclear fusion reaction, we need to determine the mass defect and use Einstein's mass-energy equation (E = mc²).
First, let's calculate the total mass of the reactants:
Mass of 2 1H = 2.01410 amu
Mass of 3 1H = 3.01605 amu
Total mass of the reactants = 2.01410 amu + 3.01605 amu
Total mass of the reactants = 5.03015 amu
Next, let's calculate the total mass of the products:
Mass of 4 2He = 4.00260 amu
Mass of 1 0n = 1.00866492 amu
Total mass of the products = 4.00260 amu + 1.00866492 amu
Total mass of the products = 5.01126492 amu
Now, let's calculate the mass defect:
Mass defect = Total mass of the reactants - Total mass of the products
Mass defect = 5.03015 amu - 5.01126492 amu
Mass defect = 0.01888508 amu
To convert the mass defect to kilograms, we'll use the conversion factor:
1 amu = 1.66053906660 x 10⁻²⁷ kg
Mass defect in kilograms = 0.01888508 amu x (1.66053906660 x 10⁻²⁷ kg/amu)
Mass defect in kilograms = 3.134 x 10⁻²⁹ kg
Finally, we can calculate the energy released using Einstein's mass-energy equation:
E = mc²
E = (3.134 x 10⁻²⁹ kg) x (299,792,458 m/s)²
E = 2.81 x 10⁻¹³ J
Therefore, the energy released per mole for the nuclear fusion reaction is approximately 2.81 x 10⁻¹³ J.
Learn more about mass defect here:
https://brainly.com/question/4163502
#SPJ 4
which event provides evidence that matter can reflect waves?
A. An audience member covers her ears during a loud concert.
B. A performer makes shadow puppets on a wall.
C. A laser beam bounces off a series of mirrors.
D. The light from a fireworks show is seen miles away.
The event that provides evidence that matter can reflect waves is option C, where a laser beam bounces off a series of mirrors. This phenomenon is known as reflection and is a fundamental property of waves, including electromagnetic waves such as light. When a wave encounters a surface, it can either be absorbed, transmitted, or reflected. In the case of reflection, the wave bounces off the surface and changes direction.
In the example given in option C, the laser beam is reflected off each mirror at an angle equal to the angle of incidence, according to the law of reflection. This behavior is not unique to laser beams or even light waves but applies to all types of waves, including sound waves and water waves.
Reflection is an important phenomenon in many areas of science and technology. For example, it is used in optics to create mirrors and lenses that can focus or redirect light. It is also used in acoustics to design concert halls and other spaces that enhance sound quality.
(PLEASE HELP, i will give brainlist, and the question is 15 points)
What is the volume of a 4.25 liter of Neon at STP whose pressure is now 50 kPa
1) 2.52 L
2) 16.78 L
3) 8.6 L
The reaction between aluminum and an aqueous solution of copper (I) sulfate
is represented by the equation below.
2Al(s) + 3 CuSO+ (aq) - › Al2 (SO4)3 (aq) + 3 Cu(s)
How many atoms does 6 moles of Al(s) contain?
The number of atoms contained by 6 moles of aluminium is 3.612 × 10²⁴ atoms of Al.
How to calculate number of atoms?The number of atoms contained by a substance can be calculated by multiplying the number of moles in the substance by Avogadro's number.
Avogadro's number is the number of atoms present in 12 grams of isotopically pure carbon-12, being 6.02214076 × 10²³. By definition, it is the number of elementary entities (atoms or molecules) comprising one mole of a given substance.
According to this question, a reaction occurs between aluminum and aqueous solution of copper (I) sulfate. If there are 6 moles of aluminium, the number of atoms in this aluminium can be calculated as follows:
no of atoms = 6 × 6.02 × 10²³
no of atoms = 36.12 × 10²³
no of atoms = 3.612 × 10²⁴ atoms of Al
Therefore, 3.612 × 10²⁴ atoms of Al is the number of atoms contained in 6 moles of aluminium.
Learn more about atoms at: https://brainly.com/question/8834373
#SPJ1
How many grams of NaCl can be produced by
the reaction of 112cm³ of chlorine at STP wit
an excess of sodium?
Answer:
The reaction of 112 cm³ of chlorine at STP with an excess of sodium can produce 0.292 grams of NaCl.
Explanation:
The reaction of chlorine with sodium can produce sodium chloride (NaCl), which is also known as table salt. To determine how many grams of NaCl can be produced by this reaction, we need to know the molar mass of NaCl and the number of moles of chlorine that are reacted.
The molar mass of NaCl is 58.44 g/mol. This means that 1 mole of NaCl has a mass of 58.44 grams.
To find the number of moles of chlorine that are reacted, we need to convert the volume of chlorine from cubic centimeters (cm³) to liters, and then use the ideal gas law to calculate the number of moles. At standard temperature and pressure (STP), 1 mole of any gas occupies a volume of 22.4 liters. Therefore, the number of moles of chlorine can be calculated as follows:
moles = (volume of chlorine at STP) / (volume of 1 mole of any gas at STP)
In this case, the volume of chlorine is 112 cm³, which is equivalent to 0.112 liters at STP. Therefore, the number of moles of chlorine can be calculated as follows:
moles = 0.112 liters / 22.4 liters/mol
This gives a result of 0.005 moles of chlorine.
Since the reaction produces an excess of sodium, we can assume that all of the chlorine that is reacted is converted into NaCl. Therefore, the mass of NaCl that is produced can be calculated by multiplying the number of moles of chlorine by the molar mass of NaCl:
mass = (number of moles) * (molar mass of NaCl)
In this case, the mass of NaCl that is produced is 0.005 moles * 58.44 g/mol = 0.292 grams.
Therefore, the reaction of 112 cm³ of chlorine at STP with an excess of sodium can produce 0.292 grams of NaCl.
what volume, in l, of 10.0 m hcl is needed to make 2.00 l of 2.00 m hcl solution by dilution with water? assume volumes are additive. a. 0.800 l b. 0.400 l c. 0.200 l d. 0.100 l e. none of these choices is correct
The volume, in l, of 10.0 m hcl needed to make 2.00 l of 2.00 m hcl solution by dilution with water is 0.400 L. The correct answer is option b (0.400 L).
To make a 2.00 M HCl solution by diluting 10.0 M HCl, we can use the formula:
M1V1 = M2V2 ,where M1 is the initial concentration (10.0 M), V1 is the initial volume (unknown), M2 is the final concentration (2.00 M), and V2 is the final volume (2.00 L).
Rearranging this equation to solve for V1, we get:
V1 = (M2V2) / M1
Plugging in the values, we get:
V1 = (2.00 M x 2.00 L) / 10.0 M
V1 = 0.400 L
Therefore, the volume of 10.0 M HCl needed to make 2.00 L of 2.00 M HCl solution by dilution with water is 0.400 L.
Dilution is defined as the process of adding more solvent to a solution. When diluting a solution, the concentration of the solute is reduced. It's important to note that when diluting a solution, the number of moles of the solute remains the same.
For more question on dilution
https://brainly.com/question/27097060
#SPJ11
Is poverty a cycle? And how?
2) Provide a systematic name for each of the following compounds below:
CCCCC(CC)C(C)C(C)C
CCCCC(CC)C(C)C
CC(C)C(C(C)C)C(C)C
Systematic name for each of the following compounds are C49H74O4, C49H74O4, C49H74O4 respectively.
What is natural compound?
Pure compounds are created while factors integrate permanently, forming one substance. For example, while the factors mercury and oxygen integrate, and a chemical response takes place, mercury (II) oxide is created.
A chemical compound is a chemical substance composed of many equal molecules containing atoms from multiple chemical detail held collectively with the aid of using chemical bonds. A molecule which includes atoms of most effective one detail is consequently now no longer a compound
To know more about Compound, click here- brainly.com/question/26487468
#SPJ1
The molecular weight of this compound was determined by mass spectrometry to be 264 g/mol. what is the molecular formula of this compound?
The Empirical Formula for the given compound is C₃H₄O₃ .
What is an Empirical Formula?The simplest whole number ratio of atoms in a chemical molecule is its empirical formula in chemistry.As a result, the empirical formula for sulfur monoxide and disulfur dioxide, two compounds made of sulfur and oxygen, is the same.Their molecular formulae, which represent how many atoms are present in each molecule of a chemical compound, are different.The number of atoms or their arrangement is not mentioned in an empirical formula.The number of each sort of atom in a molecule is displayed in the molecular formula, though.The molecule's organization is represented by the structural formula. Additionally, different types of compounds may have empirical formulas that are equivalent.To learn more about Empirical Formula with the given link
https://brainly.com/question/14044066
#SPJ4
Which compound is NOT a component of the citric acid cycle? A. Pyruvate B. α-Ketoglutarate C. Succinate D. Malate.
A) Out of the given options, Pyruvate is the compound that is not a component of the citric acid cycle.
The citric acid cycle, also known as the Krebs cycle or the tricarboxylic acid (TCA) cycle, is a central metabolic pathway that occurs in the mitochondria of cells. It is responsible for the oxidation of acetyl-CoA derived from various fuel sources, generating energy in the form of ATP and producing NADH and FADH2.
Pyruvate, which is a product of glycolysis, serves as the starting point for the citric acid cycle. It enters the cycle by being converted into acetyl-CoA through a series of enzymatic reactions.
On the other hand, the compounds α-Ketoglutarate, Succinate, and Malate are all intermediates of the citric acid cycle. They are involved in various steps of the cycle, participating in the generation and transfer of energy-rich electrons and the production of ATP and reduced coenzymes.
Therefore, out of the given options, Pyruvate is the compound that is not a component of the citric acid cycle.
learn more about Pyruvate here:
https://brainly.com/question/33351836
#SPJ11
explain how absorbance and concentration date collected in light expiriments can be used to determine the concentration of an unknown solution
The calibration curve is used to determine the concentration of an unknown solution.
What is a spectrophotometer?A spectrophotometer is a device in which the absorbance of a substance could be measured. The absorbance refers to the amount of light that could be passed through a substance.
What we do is to first select the appropriate wavelength the would be used for the study. The absorbance of the solvent without the analyte is first measured. This is called the sample blank. Then several selected concentrations of the analyte is made to interact with light in the spectrophotometer and the absorbance is measured.
This is now used to create a line of best fit called calibration curve that could be used to determine the absorbance of any other concentration of the same solution.
Learn more about a spectrophotometer:https://brainly.com/question/24195565
#SPJ1
An unknown fuel is broken apart with the following chemical reaction.
fuel + 6 O2 → 6 CO2 + 6 H2O
How many carbon atoms are in the fuel?
6
8
4
1
Answer:
6 carbon atoms are in the fuel
- BRAINLIEST answerer
convert 3.23 mol to molecules?
1.945 x 10²⁴ molecules make up 3.23 moles.
With 3.2 moles, how many molecules are there?In the case of sodium chloride, Sodium chloride, there are Avogadro's number of formula units for each mole of Sodium chloride (molecules). So, the number of Sodium chloride formula units (molecules) we need to determine is equal to the number of movements times all of the data we have is constant.
To convert from moles to molecules, you need to use Avogadro's number, which is 6.022 x 10²³ molecules per mole.
So, to convert 3.23 mol to molecules:
3.23 mol x 6.022 x 10²³ molecules/mol = 1.945 x 10²⁴ molecules.
To know more about molecules visit:-
https://brainly.com/question/15123235
#SPJ1
Carbon and Silicon are in the same group of the periodic table. Silicon (IV) Oxide melts At 2440°C while solid Carbon (IV) Oxide sublimes at -70°C. In terms of structure and Bonding, explain this difference
Carbon (C), silicon (Si), and a number of heavy metals are all found in Group IV of the Periodic Table of the Elements.
Thus, Of course, the foundation of life as we know it is carbon. So, is it conceivable that silicon could replace carbon on a planet in a different solar system.
Numerous science fiction stories contain silicon-based life forms, including sentient crystals, horrifying golden sand, and even a creature whose excrement was bricks of silica.
Many properties of silicon and carbon are similar. Each has what is known as a valence of four, which means that when creating chemical compounds, individual atoms establish four bonds with other elements. Each element forms a connection with oxygen.
Thus, Carbon (C), silicon (Si), and a number of heavy metals are all found in Group IV of the Periodic Table of the Elements.
Learn more about Carbon, refer to the link:
https://brainly.com/question/22530423
#SPJ1
ChE 413- Material Selectia Q2-(4 marks) A material is required for a light die mond of specified length L. Stilliness and collapse load with the values L=3m S = 3x10 p-10 'N Select the right material
In the given question, a material is needed for a light die mond with a specified length (L). The required properties are stiffness (S) and collapse load (P), where L = 3m, S = 3x10^10 N/m, and P = 10 N. The objective is to select the appropriate material based on these requirements.
To select the right material for the light die mound, we need to consider its stiffness and collapse load. Stiffness refers to the material's ability to resist deformation under an applied load, indicating its rigidity and resistance to bending or flexing. Collapse load represents the maximum load the material can withstand before it fails or collapses.
Based on the given values of L, S, and P, we can evaluate different materials based on their mechanical properties. Materials with higher stiffness values are generally preferred as they provide better structural integrity and support. Similarly, materials with higher collapse loads are desirable to ensure the die mond can withstand the applied load without failure.
The appropriate material selection depends on the specific requirements and constraints of the application. Materials commonly used for structural applications, such as metals (e.g., steel, aluminum) or composite materials (e.g., carbon fiber reinforced polymers), tend to have high stiffness and strength properties. These materials offer the necessary rigidity and load-bearing capacity for structural components.
Other factors to consider in material selection include cost, availability, manufacturing feasibility, and any additional requirements specific to the die mond application. It is essential to evaluate different materials, their mechanical properties, and how well they align with the specified requirements in order to make an informed decision.
In summary, the selection of the appropriate material for the light die mond involves considering its stiffness and collapse load. By evaluating different materials based on their mechanical properties and ensuring they meet the specified requirements, a suitable material can be chosen. Factors such as stiffness, collapse load, cost, and feasibility should be taken into account to make a well-informed material selection decision.
Learn more about polymers here:- brainly.com/question/1443134
#SPJ11
The optimum temperature for sucrase activity is 37 °C. The hydrolysis of sucrose is slowest at which temperature in the choices below? a) 45 °C b) 20 °C c) 25 °C d) 10 °C e) 0 °C
The optimum temperature for sucrase activity is 37 °C. The hydrolysis of sucrose is slowest at 0 °C.
The optimum temperature for sucrase activity is 37 °C, which means that the enzyme functions most efficiently at this temperature. As the temperature deviates from the optimum, the enzyme activity decreases. Therefore, the hydrolysis of sucrose would be slowest at a temperature that is significantly lower or higher than 37 °C.
Among the given choices, the temperature that is significantly lower than 37 °C is 0 °C (choice e). Enzyme activity is typically greatly reduced or completely halted at very low temperatures, as the enzyme molecules become less active or may even denature. Therefore, the hydrolysis of sucrose would be slowest at 0 °C.
To learn more about temperature
https://brainly.com/question/30033084
#SPJ11
it is often measured in - per 100 g solvent.
Solubility is often measured in grams of solute per 100 grams of solvent (g/100 g solvent).
This allows for a clear understanding of the proportion of solute that can be dissolved in the solvent under specific conditions. The solubility of a substance may vary depending on factors such as temperature, pressure, and the nature of the solute and solvent involved.
Solubility is a measure of the maximum amount of solute that can dissolve in a particular solvent at a given temperature and pressure.
In general, solubility increases with increasing temperature, which is why it is essential to specify the temperature when reporting solubility values. Additionally, solubility may be affected by the presence of other solutes in the solution or changes in pressure, especially for gases.
Understanding solubility is crucial in many scientific and industrial applications, including the formulation of pharmaceutical drugs, the design of chemical processes, and the assessment of environmental impacts. By knowing the solubility of a substance in a particular solvent, scientists and engineers can make informed decisions about how to best handle and manipulate these materials.
for more such question on Solubility
https://brainly.com/question/9098308
#SPJ8
PLEASE HELP, WILL MARK BRAINLIEST How many moles is 2.80 x 1024 atoms of silicon (Si)? Show your work.
Answer:
4.65 moles
Explanation:
1 mole ---> 6.022×10²³ atoms of si
X mole ---> 2.8×10²⁴ atoms of si
X= 2.8×10×10²³/6.022×10²³
=28/6.022
=4.65moles
an electrolytic cell is an electrochemical cell that choose... energy. a reaction in an electrolytic cell can occur if the setup includes a choose... . additional required components of an electrolytic cell include a cathode, an anode, and a choose... .
An electrolytic cell is an electrochemical cell that converts chemical energy into electrical energy. A reaction in an electrolytic cell can occur if the setup includes a salt bridge. Additional required components of an electrolytic cell include a cathode, an anode, and a source of direct current (DC).
An electrolytic cell is an electrochemical cell in which chemical reactions are caused by electrical energy. Electrolytic cells have two electrodes, which are electrical conductors where electric current enters or leaves the cell. When the electrode where the current enters the cell is called the anode and the electrode where the current leaves the cell is the cathode.
The electrolyte is an ionic solution that can carry electrical current to the electrodes. In an electrolytic cell, a non-spontaneous redox reaction occurs in which electrical energy is used to force electrons to flow from the anode to the cathode. The redox reaction that takes place in an electrolytic cell is generally non-spontaneous, and it occurs as a result of the supply of electrical energy into the cell from an external source.
As a result, the anode in an electrolytic cell is positively charged, while the cathode is negatively charged. Electrolytic cells are commonly used in industrial processes that require large amounts of electric energy to be converted into chemical energy, such as aluminum production.
For more question on electrochemical cell click on
https://brainly.com/question/16673646
#SPJ11
WhT is the amount of NaCI that can be added to 50.0g of water at 60.0oc?
Answer:
the image won't load so maybe upload it again please
How many grams of sodium hydroxide are required to prepare a 200 ml solution of a 10% (weight per volume) solution? (Atomic weights: Na = 23; 0 = 16; H = 1)
Given that we want to prepare a 10% solution of sodium hydroxide in 200 mL, we need to calculate the mass of sodium hydroxide required to make this solution.
We can use the following formula to calculate the mass of solute required to make a given volume and concentration of solution:
mass of solute = volume of solution x concentration of solution x density of soluteFirst, let's calculate the density of sodium hydroxide.The density of solid NaOH is 2.13 g/mL. So, the density of sodium hydroxide solution is:
Density = 2.13 g/mLNow, let's substitute the given values into the formula to calculate the mass of sodium hydroxide required:mass of solute = 200 mL x 0.10 x 2.13 g/mL= 4.26 gTherefore, 4.26 grams of sodium hydroxide are required to prepare a 200 mL solution of a 10% (weight per volume) solution.About Sodium hydroxideSodium hydroxide, also known as lye and caustic soda or caustic soda, is an inorganic compound with the chemical formula NaOH. This compound is an ionic compound in the form of a white solid composed of the sodium cation Na⁺ and the hydroxide anion OH⁻. Sodium hydroxide is a building block that can also be found in detergents and oil stain removers. We use it to make products clean better by influencing the formula molecules, so they work better together.
Learn More About Sodium hydroxide at https://brainly.com/question/25866669
#SPJ11
You have 2.30 cm3 of Pt. Platinum is selling for $28.10/gram. How much Platinum do you have? Density of platinum is 21.45 g/cm3.
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:
\(\frac{dm}{dt} = -\frac{m}{\tau}\) (Eq. 1)
Where:
\(\frac{dm}{dt}\) - First derivative of mass with respect to time, measured in miligrams per year.
\(m\) - Current mass of the isotope, measured in miligrams.
\(\tau\) - Time constant, measured in years.
Now we proceed to obtain the solution of the differential equation:
\(\int\limits {\frac{dm}{m} } = -\frac{1}{\tau}\int dt\)
\(\ln m = -\frac{t}{\tau}+C\)
\(m(t) = e^{-\frac{t}{\tau}+C }\)
\(m(t) = m_{o}\cdot e^{-\frac{t}{\tau} }\) (Eq. 2)
Where:
\(m_{o}\) - Initial mass of the isotope, measured in miligrams.
\(t\) - Time, measured in years.
\(\tau\) - Time constant, measured in years.
We proceed to clear time within the formula presented above:
\(\ln \frac{m(t)}{m_{o}} = -\frac{t}{\tau}\)
\(t = -\tau \cdot \ln \frac{m(t)}{m_{o}}\)
In addition, time constant can be found as a function of half-life:
\(\tau = \frac{t_{1/2}}{\ln 2}\) (Eq. 3)
If we know that \(t_{1/2} = 500000\,yr\), \(m_{o} = 8\,mg\) and \(m(t) = 0.125\,mg\), the age of the earliest known human-like footprints is:
\(\tau = \frac{500000\,yr}{\ln 2}\)
\(\tau \approx 721347.520\,yr\)
\(t = -(721347.520\,yr)\cdot \ln \left(\frac{0.125\,mg}{8\,mg} \right)\)
\(t \approx 3000000\,yr\)
The age of the earliest known human-like footprints is approximately 3000000 years.