Answer:
To solve this problem, we can use the Boyle's Law equation, which states that the pressure and volume of a gas are inversely proportional at constant temperature.
Boyle's Law: P1V1 = P2V2
where P1 and V1 are the initial pressure and volume, and P2 and V2 are the new pressure and volume.
Using the given values:
P1 = 30.0 atm
V1 = 2 L
P2 = 10.0 atm
Substituting these values into the Boyle's Law equation, we get:
30.0 atm x 2 L = 10.0 atm x V2
Simplifying and solving for V2, we get:
V2 = (30.0 atm x 2 L) / 10.0 atm
V2 = 6 L
Therefore, the new volume of the gas will be 6 L if the pressure is reduced to 10.0 atm, assuming the temperature remains constant.
I Hope This Helps!
Which orbital diagram represents lithium
(atomic number = 3)?
Answer:
A.
Explanation:
Lithium's electron configuration is 1s^2 and 2s^1 , therefore the orbital diagram would have 2 in 1s box and 1 in 2s box.
Lithium's electron configuration is 1s^2 and 2s^1 , therefore the orbital diagram would have 2 in 1s box and 1 in 2s box. Thus, option A is correct.
An atom in the neutral state has the same number of protons and electrons. Since protons carry the positive charge and electrons carry negative charge of equal magnitude as that of protons, so, in neutral state the overall charge on the atom is zero.
Atomic number of Lithium is 3. Under neutral state it has 3 protons and 3 electrons. So, its overall electric charge is 0.
If an atom of Lithium loses one of its outermost electron, it is left with 2 electrons and 3 protons. Since, number of protons is 1 more than the number of electrons, the electrical charge on Lithium atom would be positive and the magnitude of charge will be equal to the number of electrons lost, which is 1 in this case.
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1. Use the bond enthalpies to calculate the enthalpy change for this reaction. Is this reaction endothermic or exothermic?
Change in enthalpy =
Is this reaction exothermic or endothermic?
If bond formation in the products releases more heat energy than bond breaking in the reactants does.
Endothermic is either hot or cold.The reverse of exothermic processes is endothermic reactions. They take in thermal energy from the environment. This indicates that endothermic reactions cause their surroundings to get colder. This kind of response can be seen in the melting of ice.
What does it mean to be endothermic?An organism is said to be endothermic if it expends energy to control the internal temperature of its body. Ectothermic organisms, on the other hand, are those that control their body temperature through external environmental stimuli.
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The Kp for the reaction A (g) ⇌ 2 B (g) is 0.0110. What is Kp for the reaction 2 B (g) ⇌ A (g)?
I have included an overview of the topics you MUST include in your presentation.
Topic Outlines:
Biomass (10 points)
1. What does “Biomass” mean? How is Biomass being used today as a substitute for gasoline to run cars, trucks or buses?
2. What are some different ways Biomass is being used to heat homes today?
3. Name and explain 3 advantages/disadvantages in using Biomass compared to using Fossil Fuels or other alternative energies (specifically include environmental issues that can happen).
4. Explain the energy conversions when producing energy with Biomass. (Use the words: Potential Energy and Kinetic Energy).
Geothermal (10 point)
5. Where does geothermal energy come from?
6. How can geothermal energy be used to create electricity?
7. How can geothermal energy be used directly to heat homes and factories?
8. What is a “heat pump”?
9. Name and explain 3 advantages and disadvantages in using geothermal energy compared to using fossil fuels and other alternative energies. (Specifically include environmental issues that can happen).
Hydroelectric (10 points)
10. What is a good definition of hydroelectric power?
11. How does “moving water” get turned into electrical energy? Explain each part of the dam from the moving water to production of electricity.
12. Name and explain 3 advantages/disadvantages of getting electricity from hydroelectric power and how it compares to using fossil fuels or alternative energies. (specifically include environmental issues that can happen
13. Find one example in the U.S. that uses hydroelectric power to create electricity?
1. Its renewable nature,
2. Its potential to reduce greenhouse gas emissions and dependence on fossil fuels, and
3. Its ability to provide local sources of energy.
Disadvantages include:1. The high cost of production and transportation
2. The potential for deforestation and habitat loss
3. The release of pollutants and greenhouse gases during combustion
When producing energy with biomass, the potential energy stored in the organic matter is converted into kinetic energy by burning it or using other processes, such as gasification or pyrolysis, to release the energy. This kinetic energy can then be harnessed to generate electricity, heat, or fuel.Geothermal energy comes from the heat that is generated from the Earth's core and mantle.Geothermal energy can be used to create electricity by drilling wells into the Earth's crust and pumping hot water or steam to the surface, which can then drive turbines that generate electricity.Geothermal energy can be used directly to heat homes and factories by circulating hot water or steam through pipes or using geothermal heat pumps.A heat pump is a device that transfers heat from one place to another, such as from the ground to a building's heating system, by using a refrigerant to absorb and release heat.Advantages of using geothermal energy include:1. its low emissions and high efficiency,
2. its reliability and consistency,
3. its potential for use in remote areas.
Disadvantages include:1. the high upfront cost of installation,
2. the potential for depletion of geothermal reservoirs,
3. the risk of earthquakes and other geological hazards.
Hydroelectric power is a form of renewable energy that harnesses the power of moving water to generate electricity.Moving water is channeled through a dam, which drives turbines that spin generators to produce electricity. The water is then released back into the river or diverted to another body of water. The dam also serves to regulate the flow of water and prevent flooding.Advantages of using hydroelectric power include:its renewable nature, its potential for reliable and consistent power generation its ability to provide flood control and irrigation. Disadvantages include: the disruption of aquatic ecosystems, the potential for methane emissions from flooded land, the high upfront costs of building dams and other infrastructure.Hoover Dam, located on the Colorado River on the border between Arizona and Nevada, is a major example of a hydroelectric power plant in the U.SWhat is the history of hydroelectric power?The history of hydroelectric power dates back to the 19th century, with the development of water turbines and generators. The first hydroelectric power plant was built in Appleton, Wisconsin in 1882, by a man named H.J. Rogers.
However, the concept of using water to produce mechanical power had been around for centuries. In ancient times, waterwheels were used to power mills and other machinery, and in the Middle Ages, water power was used to operate various devices, such as water pumps, sawmills, and hammers.
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A sample of gas is in a container with a movable piston. The volume in the container is originally 850 ML at a temperature of 467K and a pressure of 11 point 4K PA. What will the new temperature if the volume is expanded to 1125 in El with a new pressure of 99.7 K PA?
If the volume is increased to 1125 in El with a new pressure of 99.7 K PA, the new temperature will be around 808 K.
What transpires to the gas volume in a moveable piston cylinder?Once the piston's pressure has doubled, it goes downward until the gas's pressure and the piston pressure are equal. The gas has now lost half of its original volume. The volume of gas falls to one-fourth of its initial volume if the pressure on the piston is once more increased by a factor of two.
This issue can be resolved using the coupled gas law:
(P1V1) / T1 = (P2V2) / T2
Using the following conversions, we can first change the starting volume to litres and the original pressure to atmospheres (atm):
1 mL = 0.001 L
1 kPa = 0.00987 atm
V1 = 850 mL = 0.85 L
P1 = 11.4 kPa = 0.1126 atm
T1 = 467 K
The new volume and pressure can also be converted to litres and atmospheres:
V2 = 1125 mL = 1.125 L
P2 = 99.7 kPa = 0.984 atm
Now we can plug in the values and solve for T2:
(P1V1) / T1 = (P2V2) / T2
(0.1126 atm * 0.85 L) / 467 K = (0.984 atm * 1.125 L) / T2
T2 = (0.984 atm * 1.125 L * 467 K) / (0.1126 atm * 0.85 L)
T2 = 808 K
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Answer:
548 K
I hope this helps! Cheers ^^
Which term is defined as the ability to dissolve within a given solvent?
O solution
O solubility
O dissociating
O dissolving
20pts
Answer:
Solubility.
Explanation:
Solubility is the maximum concentration of a solute that can dissolve in a solvent at a given temperature. At the maximum concentration of solute, the solution is said to be saturated. The units of solubility can be provided in mol/L or g/L.
What is another example, in real life, where we can prove that gases exist even though we can not see them? Explain why you believe this is a good example.
Well, us human being rely on [tex]o_{2}[/tex] (oxygen). We human beings breathe this in every day because we need it to survive. This is a good example because it explains how humans don't see [tex]o_{2}[/tex] but use it every day.
please can someone help me out with this? i need it very quickly need answer in 4 hours pls help
Explanation:nthere is your work
A mixture of 0.2000 mol of CO2, 0.1000 mol of H2 and 0.1600 mol of H2O is placed in a 2.000 L vessel. The following equilibrium is established: CO2(g) + H2(g) ⇌ CO(g) + H2O(g) At equilibrium [H2O] = 0.0856 M. a. Calculate the equilibrium concentrations of CO2, H2 and CO. b. Calculate Kc for the reaction
The equilibrium concentrations of CO₂, H₂, and CO are 0.170 M, 0.084 M, and 0.016 M, respectively.
The equilibrium amounts, what are they?Making an equilibrium concentration calculation. A chemical reaction is said to be in a state of chemical equilibrium when both the reactants and the products are in a concentration that does not vary over time any longer.
The reaction's equilibrium constant formula is as follows:
Kc = ([CO][H₂O])/([CO₂][H₂])
We obtain the following by plugging in the equilibrium amounts from the ICE table:
Kc = ((x)(0.0856))/((0.20 - x)(0.10 - x))
b. In order to determine Kc, we must first determine x using the equilibrium formula and the specified equilibrium H₂O concentration:
Kc = ((x)(0.0856))/((0.20 - x)(0.10 - x)
Kc = (x(0.0856))/(0.02 - 0.3x + x - 0.01x)
Kc = (x(0.0856))/(0.02 - 0.21x)
Kc(0.02 - 0.21x) = 0.0856x
0.02Kc - 0.21Kcx = 0.0856x
0.21Kcx + 0.0856x = 0.02Kc
x(0.21Kc + 0.0856) = 0.02Kc
x = (0.02Kc)/(0.21Kc + 0.0856)
x = (0.02Kc)/(0.21Kc + 0.0856
After solving for the equilibrium concentrations of CO₂, H₂, and CO and substituting this equation for x back into the ICE table, we arrive at:
[CO₂] = 0.170 M
[H₂] = 0.084 M
[CO] = 0.016 M
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If 8.50 g of element A reacts with 5.50 g of element B to form compound AB, what mass of AB is formed, if no A or B is left in excess?
Answer:
massR = massP
massA + massB = massAB
18g + 4g = 22g
Explanation:
Do you think these portions of the DNA get transcribed? (JUNK DNA) Why or why not?
Pls needed answer asap thnku smmm
Yes, a research in 2012 called the ENCODE project showed that about 75% of noncoding DNA or Junk DNA do get transcribed.
What is Junk DNA?The term "Junk DNA" is often used to refer to regions of the DNA that do not appear to code for functional genes, and their function or lack thereof is still a subject of active research and debate in the scientific community.
While it was once believed that these non-coding regions of DNA were "junk" and had no functional role, recent research has shown that some of these regions may have important regulatory functions, such as controlling gene expression or modulating chromosome structure.
In 2012, the ENCODE project determined that around three-quarters of the noncoding DNA in the human genome did undertake transcription and that almost half of the genome was accessible to proteins involved in genetic control such as transcription factors.
Some scientists, however, have questioned these findings, claiming that the accessibility of these genomic sequences to transcription factors does not necessarily imply that they have any biochemical significance or that transcription of the segments is favorable in terms of evolution.
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Which of the following is already in its empirical formula?
-C22H34O10
-C6H6
-C6H1203
-C5H1202
-none of these
These substances C6H1203 don't already exist in their empirical formula.
How can the empirical formula in MCQS be found?The empirical formula is CH for both C2H2 and C2H6, as it represents the simplest whole number ratio of the various atoms in a molecule. The compound's molar mass is 314 g/mol, and the empirical formula mass is (2 X 12) + 1 + 80 = 105g. Hence, C6H3Br3 is the molecular formula.
What are C6H12O6 and C6H6's empirical formulas?Glucose has the chemical formula C6H12O6 = 6 x CH2O c.The molecular weight of glucose is 180 g/mol.. The empirical and molecular formulas are identical because it equals 6 x 30 g/mol.
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What is the mole ratio of C3H6O₂ to CO₂? Write it as a fraction.
The mole ratio of C3H6O₂ to CO₂ ia 1:y.
Mole ratio explained.
To determine the mole ratio of C3H6O2 to CO2, we need to look at the balanced chemical equation that relates these two substances in a chemical reaction. Let's assume the balanced chemical equation is:
C3H6O2 + xO2 → yCO2 + zH2O
where x, y, and z are coefficients that balance the equation. The mole ratio of C3H6O2 to CO2 is simply the ratio of the coefficients in front of each substance in the balanced equation. From the equation above, we can see that the coefficient in front of C3H6O2 is 1 and the coefficient in front of CO2 is y. Therefore, the mole ratio of C3H6O2 to CO2 is:
1 : y
where y is the coefficient in front of CO2 in the balanced equation.
Since we don't know the exact balanced chemical equation, we cannot determine the value of y and therefore cannot simplify the ratio any further. So the mole ratio of C3H6O2 to CO2 is 1 : y, where y is an unknown integer.
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Once alchol is in the bloodstrram it will reach the brain I'm a few
Once alcohol is in the bloodstream it will reach the brain in a few seconds to minutes, depending on various factors such as the amount and concentration of alcohol consumed, body weight, metabolism, and other individual factors.
Alcohol's Effects on BrainAlcohol can swiftly cross the blood-brain barrier after it is ingested, having an impact on the brain and neurological system. Depending on the quantity and frequency of drinking, alcohol's effects on the brain can range from minor disturbances in judgment and coordination to more serious consequences including loss of consciousness and, in the worst circumstances, death.
Long-term changes in brain structure and function, such as cognitive impairment and a higher chance of developing specific neurological and mental illnesses, can also result from chronic alcohol consumption.
Once alcohol is in the bloodstream it will reach the brain in a few seconds to minutes, depending on various factors such as the amount and concentration of alcohol consumed, body weight, metabolism, and other individual factors.
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If only 1600 grams of CO2 are produced, what is the percent error of this reaction?
Answer:
Explanation:
MTBE (C5H12O)
A + B = AB is an example of a ________reaction
Answer:
A + B = AB is an example of a synthesis reaction
Explanation:
18. If we increase the temperature of the tank to 85° C, what will the new pressure be inside the tank?
The new pressure inside the tank would be approximately 101.8 kPa.
What is the relationship between temperature and pressure of a gas?
According to the ideal gas law, PV = nRT, where P is pressure, V is volume, n is the number of moles of gas, R is the gas constant, and T is temperature in Kelvin.Since the volume of the tank is constant, we can use the simplified form of the ideal gas law: P1/T1 = P2/T2, where P1 is the initial pressure, T1 is the initial temperature, P2 is the final pressure, and T2 is the final temperature.Converting 85° C to Kelvin (85 + 273.15 = 358.15 K), we can solve for P2: P2 = P1(T2/T1) = 101.3 kPa (358.15 K / 298.15 K) = 101.8 kPa.Increasing the temperature of the tank to 85° C would result in a new pressure inside the tank of approximately 101.8 kPa.
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How many milliliters of 9.89 M nitric acid solution should be used to prepare 3.50 L of 0.200 m HNO3? _____mL
Answer: Therefore, 70.7 mL of 9.89 M nitric acid solution should be used to prepare 3.50 L of 0.200 M HNO3.
Explanation:
To prepare 3.50 L of 0.200 M HNO3, we need to calculate the amount of HNO3 required and then determine the volume of 9.89 M nitric acid solution needed to prepare this amount of HNO3.
The amount of HNO3 required can be calculated using the formula:
amount of HNO3 (in moles) = volume of solution (in liters) x concentration of HNO3 (in moles per liter)
Substituting the given values:
amount of HNO3 = 3.50 L x 0.200 mol/L = 0.700 mol
Now, we can use the amount of HNO3 and the concentration of the nitric acid solution to calculate the volume of the nitric acid solution needed:
volume of nitric acid solution = amount of HNO3 (in moles) / concentration of nitric acid solution (in moles per liter)
Substituting the given values:
volume of nitric acid solution = 0.700 mol / 9.89 mol/L = 0.0707 L
Finally, we can convert the volume to milliliters:
volume of nitric acid solution = 0.0707 L x 1000 mL/L = 70.7 mL
Therefore, 70.7 mL of 9.89 M nitric acid solution should be used to prepare 3.50 L of 0.200 M HNO3.
Regenerate response
Answer ASAP Pleeeeease
Question
Which statement about fossil fuels is true?
Responses
They are an alternative energy source.
They are replaced in only a few years.
They are in high demand.
Answer:
They are in high demand.
Why is fossil fuel bad?
FOSSIL FUELS, USES, NEGATIVE IMPACTS AND SOLUTIONS;
In order to understand why it is bad to use Fossil Fuels, it is first necessary to understand what they are composed of. There are two main types of Fossil Fuels, namely, Coal and Oil.
The Formation of Coal : -
The multistage process that produces coal.
Many millennia ago, tree trunks fell and were quickly covered in water and mud. The bacteria, respiring anaerobically, due to the lack of Oxygen, produced peat. As is illustrated in stage 3, sediments built up over this peat layer and with time, heat and pressure, certain chemical changes turned the peat into Coal, as shown in stage 4. During the compression process, Sulphur compounds leached into the peat layer and eventually became a components of the final Coal. In other cases, Low sulfur coals derive their sulfur mainly from the sulfur components in the coal-forming plants. High-sulfur Coals, however, are now known to derive most of their sulfur from reduction of Sulphate ions to H2S in sea or brackish water in the coal beds by microbial processes.>
The Formation of Oil : -
The multistage process that produces oil.
Oil is essentially the remains of small fossilised sea creatures, that has been compressed and undergone pressures, eventually converted to oil. Oil is commonly accompanied by Natural Gas, which also builds up as a result of the extreme pressures. Sulphur is also found to make a percent of the oil.
The Usage and Combustion of Fossil Fuels : -
Coal and Oil are combusted to convert the chemical energy held to thermal energy, which in turn warms up water so that steam evolves. This team is drafted down a tunnel to turn a turbine, which drives a generator. This is how a power station works.
Upon observing the figure above, if you follow the path of the process, we see that coal enters at number 14 and enters the combuster at number 15. Here, it burns to heat the water at number 19, which is channeled down to drive the generator at number 5, via a series of tubes which converge into one, at number 10.
Coal or Oil or both can be used for this purpose. However the combustion of Coal and Oil releases Sulphur gas, which is dangerous for the Environment, as well as Carbon Dioxide and Carbon Monoxide, as the combustion happens in internal conditions, hence combustion may not occur fully, or in depleted Oxygen.
Negative Impacts of Sulphur Gas, Carbon Monoxide and Carbon Dioxide on the Atmosphere and the Environment : -
Sulphur Gas can dissolve in rainwater to produce a weak, aqueous Sulphuric Acid, which can fall in the form of rain. This can increase the pH of the soil or other water bodies, which can disturb marine ecosystems and even terrarial ones. It can fall on leafs and ‘wound’ them, i.e, destroy tissue due to its corrosive nature, making the plant life vulnerable to pathogens.Carbon Monoxide is a toxic gas that can cause suffocation and death. Although it is a natural component of the Atmosphere, in recent years, due to high industrial activity, its percent composition has increased significantly, which is a cause of concern towards the health of bird life. While it does not cause Greenhouse Effect directly, in the upper reaches of the Atmosphere it can combine with Oxygen to give Carbon Dioxide.…Which brings us to Carbon Dioxide. This is a greenhouse gas. On Earth, all organisms respire to produce Carbon Dioxide, so in the geological history of Earth, there has been equilibrium maintained between Oxygen and Carbon Dioxide in the Atmosphere. This, however, has been disturbed by Man’s industrial activities. This has been due to the high deforestation and lack of replacement of cut-down trees, around the planet. This disequilibrium is best depicted by the graph below.
Prevention and Reduction of These Effects : -
There are numerous methods by which these gases and their effects can be subdued. One notable example for the case of Sulphur Gas, is the “Flue Desulphurisation Method”, which effectively removes the Sulphur and separates it out, hence making it available for use in other Industrial Processes, but in safer compounds, etc.
Replanting of cut down trees can contribute towards of the re-achievement of the equilibrium that has been present in the Atmosphere before Industrial activities led to disequilibrium. Re-planting is a very simple process, but one that can go a long way. In effect, it is a two in one solution, as if we remove Carbon Monoxide emissions by reacting the gas with excess Oxygen, we get Carbon Dioxide. However, the equilibrium in the Biosphere means that is no longer a problem. Thus, replanting of trees is very important.
how the transformer work
Answer:
make me brainalist
Explanation:
The core of the transformer works to direct the path of the magnetic field between the primary and secondary coils to prevent wasted energy. Once the magnetic field reaches the secondary coil, it forces the electrons within it to move, creating an electric current via electromotive force (EMF).
Circle the larger one of each pair or grouping below:
Cr²+ or Cr3
Ge, Br, Ca, or Ga
(1) The larger ion is Cr³+
(2) The larger ion is Ca.
What is the size of the ions?In the first pair, we are comparing the cations Cr²⁺ and Cr³⁺. Cations are positively charged ions that form when an atom loses one or more electrons. The charge on a cation tells you how many electrons it has lost. In this case, Cr²⁺ has lost 2 electrons, while Cr³⁺ has lost 3 electrons.
When comparing the sizes of ions, we need to consider the ionic radius. The ionic radius is the distance between the nucleus of an ion and its outermost electron shell.
As we move from left to right across the periodic table, the number of protons in the nucleus increases, which pulls the electrons closer to the nucleus and makes the atoms smaller. As we move down a column in the periodic table, the number of electron shells increases, which makes the atoms larger.
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pls help!!
Which statement best describes the difference between speed and velocity?
A.
Velocity is plotted on the x-axis of a graph and speed is plotted on the y-axis.
B.
Velocity is related to position but speed is not.
C.
Velocity does not depend on time but speed does.
D.
Velocity has a specific direction but speed does not.
Answer:
option a
Velocity is plotted on the x-axis of a graph and speed is plotted on the y-axis.
What type of intermolecular force will for between H2O AND CH3OH? Draw and label a picture of this bond. Explain in words how this bond forms.
Hydrogen bonding, which is unquestionably what we have, will occur from the intermolecular force between the molecules of H2O and CH3OH. Atoms trade or exchange valence electrons to create bonds.
How come we create bonds?Trust and self-esteem are developed in children and adolescents through strong emotional ties. After that, they can leave the family and establish wholesome friendships and other types of social ties. Healthy relationships consequently lower a child's chances of emotional discomfort or antisocial behaviour.
What exactly is a bonds, for example?The government of a country issues government bonds, a sort of fixed-interest bond. These bonds are thought of as low-risk investments. Examples of different kinds of government bonds include T - bills, Municipality Bond, Zero-Coupon Bonds, and others.
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Indicate the type of intermolecular forces hold liquid nitrogen (N2) together?
Answer:
Nitrogen liquefies at -195.8°C at room temperature.
At -182.95°C, the periodic table equivalent (oxygen) boils.
The boiling point of nitrogen is lower because there are fewer interactions between nitrogen molecules (N2).
The degree of electron fluctuation within a molecule affects interactions between non-polar molecules.
Van der Waals forces are the oldest sort of intermolecular contact, named after Dutch chemist Johannes van der Waals.
The Van der Waals forces, which include dipole-dipole and dispersion forces, are the weakest intermolecular forces.
discribe the difference bettween a food chain and a food web
Which of the following could be a useful IPM monitoring strategy to reduce crop damage from pests?
A.mating disruption devices B.noisemakers C.pesticides D.forecasting software
Answer:
C. pesticides
Explanation:
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How many moles of MgS are in 100.g MgS?
The number or amount of moles of magnesium sulfide in 100g of MgS is 1.774 moles.
How to calculate number of moles?The number of moles in a substance can be calculated by dividing the mass of the substance by its molar mass as follows:
Mole is the base unit of amount of substance i.e. the amount of substance of a system which contains exactly 6.02214076 × 10²³ elementary entities.
no of moles = mass ÷ molar mass
According to this question, 100g of magnesium sulfide is given. The molar mass of magnesium sulfide is 56.38 g/mol.
moles = 100g ÷ 56.38g/mol
moles = 1.774 moles
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NEEDD HELP URGENTLY, NOBODY ELSE IS HELPING FFS
2.0 mol of Ca(OH)2 are mixed with 2.0 mol of HCl according to the following equation:
Ca(OH)2+2HCl=CaCl2+2H2O
a. Which chemical is in excess and which is limiting reactant?
b. What is the excess in grams?
c.Theoretically,how many moles of H20 will be produced?
Answer:
Explanation:
Limiting is HCl and excess is Ca(OH)2
excess is 296 grams Ca(OH)2
2 moles H2O will be formed
Ten years ago, a vacant lot in a subdivision was purchased for $30,500. The owner hired a general contractor to build a home on the lot. The contractor charged $375,000. The homeowner is planning to refinance the mortgage. The bank recently appraised the home at $410,000. What is the value of the property?
The value of the property at the end of the given time period is determined as $410,000.
What is the value of the property?The value of the property is the sum of the purchase price of the lot and the cost of building the home, which is:
$30,500 (purchase price of the lot) + $375,000 (cost of building the home) = $405,500
However, the bank has appraised the home at $410,000, which means that the value of the property has increased by $4,500.
Therefore, the value of the property is:
$405,500 (original value) + $4,500 (increase in value) = $410,000.
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An isotope of hydrogen, known as Tritium (hydrogen-3), has a half-life of 12 years. If a sample of tritium was prepared 60 years ago, what was its original mass if its current mass is 0.42 micrograms?
Options for answers:
a.) 1.7mg b.) 13.4mg c.) 6.7mg d.) 26.8mg e.) 3.4mg
The original mass of Tritium (hydrogen-3) was 13.4mg if its current mass is 0.42 micrograms.
The formula for radioactive decay is given by:
N = N0 x (1/2)^(t/T)
where,
N = final number of radioactive atoms
N0 = initial number of radioactive atoms
t = time elapsed
T = half-life of the radioactive substance
Let's substitute the given values into the formula:
0.42 μg = N0 x (1/2)^(60/12)
0.42 μg = N0 x (1/2)^5
0.42 μg = N0 x 1/32
N0 = 0.42 μg x 32
N0 = 13.44 μg
Therefore, the original mass of the tritium sample was 13.44 micrograms.
What is radioactive decay?
Radioactive decay is the process by which an unstable atomic nucleus loses energy by emitting ionizing radiation, such as alpha particles, beta particles, and gamma rays. This process can result in a change in the number of protons and/or neutrons in the nucleus, leading to the transformation of one element into another. The rate of decay is typically characterized by a half-life, which is the time required for half of the atoms in a sample to decay.
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