The pressure inside the beaker and the sealed tank are the same, so the liquid level in the beaker will remain the same.
The temperature inside the beaker and the sealed tank are also the same, so there will be no change in the amount of liquid in the beaker due to evaporation or condensation.
Therefore, after ten minutes, there will be the same amount of liquid in the beaker.
Which statement about the population shown in this graph is true?
There is nothing controlling population growth.
The population is not continuing to grow because it has reached its carrying capacity.
The number of individuals will continue to increase rapidly.
The number of individuals will decrease until there are none left.
The correct statement about the population shown in this graph is
The population is not continuing to grow because it has reached its carrying capacity.
What is population?Population typically refers to the number of people in a single area, whether it be a city or town, region, country, continent, or the world.
The carrying capacity of an environment is described as the maximum population size of a biological species that can be sustained by that specific environment, given the food, habitat, water, and other resources available.
The purpose of Carrying capacity is that it is a concept for biologists when trying to better understand biological populations and the factors that affect them.
Learn more about population at: https://brainly.com/question/25896797
#SPJ1
Mg(s) + Ni2+(ag) -> Mg2+ (aq) + Ni(s) What is the total number of moles of electrons lost by Mg(s) when 2.0 moles of electrons are gained by Ni2+(ag)? * 10 ( 1.0 mol ,20 mol ,3.0 mol, 4.0 mol
The total number of moles of electrons lost by Mg(s) when 2.0 moles of electrons are gained by Ni2+(ag) is also 2.0 moles of electrons.
How to find the number of moles?This is because in a chemical equation, the number of moles of electrons gained by the reducing agent (in this case Ni2+) is equal to the number of moles of electrons lost by the oxidizing agent (in this case Mg(s)).
In this redox reaction, Mg is being oxidized because it loses electrons and Ni is being reduced because it gains electrons. The oxidation and reduction process are occurring simultaneously, so the number of electrons lost by Mg(s) is equal to the number of electrons gained by Ni2+(ag).
Learn more about moles of electrons in brainly.com/question/512038
#SPJ1
The electrons that are gained by the [tex]Ni^{2+}[/tex] ion is 2.0 moles of electrons.
What is the number of the electrons gained?We know that when there is a redox reaction, there would be the loss or gain of electrons in the process. The process is a simultaneous one so the electrons that are lost by one specie must as a matter of necessity be gained by another specie.
In this case, as we look at the reaction equation we can see that there are two electrons that have been lost by the magnesium atom and these two electrons would be gained by the Nickel II ion.
Learn more about redox reaction:https://brainly.com/question/13293425
#SPJ1
(a) Carefully complete the energy diagram by drawing a curve that accurately shows the progress of the reaction, beginning at the reactants, moving through the transition state, and ending at the final products. When adding the products to the diagram, be sure to use an energy level that is appropriate relative to the energy level of the reactants.
(b) On your energy diagram, draw a dashed curve to show the reaction progress from reactants to products in the presence of a suitable catalyst for the reaction.
(c) On your energy diagram, draw a vertical line segment with a length that corresponds to the activation energy for the reverse uncatalyzed reaction: 2HI(g)→H2(g)+I2(g)
The energy diagram of the given reaction shows that, the activation energy of the reactants is less than that of the products. The transition state is having the highest activation energy.
What is endothermic reaction :An endothermic reaction is the reaction in which the reactants will absorb heat energy from the surroundings. The reactants will gain sufficient energy to overcome the barrier potential of the reaction and thereby they have less activation energy.
The given reaction of the decomposition of hydrogen iodide is an endothermic reaction. Hence, HI has the least activation energy and the products hydrogen gas and iodine gas have the higher activation potential as shown in the diagram.
The activation energy of the transition state is indicated with the central arrow,
Find more on endothermic reaction:
https://brainly.com/question/23184814
#SPJ1
A compound melts at 20°C.
What kind of structure do you think it has?
The compound is non polar covalent in its structure as said above.
What is the melting point?Let us recall that the melting point has to do with the temperature at which there is the conversion of the solid to a liquid. We know that the melting point of the compound would depend on the structure of the compound.
If the compound would have a melting point that is about 20°C, the implication is that the compound is not be held by very strong intermolecular forces hence it must be covalent.
Learn more about melting point: https://brainly.com/question/29578567
#SPJ1
Glucose (C6H12O6) is burned in the human body for energy. Carbon dioxide and water are produced as waste products. How many moles of oxygen are needed to combust 3.12 moles of glucose?
18.72 moles of oxygen are needed to combust 3.12 moles of glucose.
Glucose is a type of sugar that can be represented by the chemical formula C6H12O6.
When glucose is burned in the human body, it combines with oxygen to form carbon dioxide (CO2) and water (H2O) as waste products.
The balanced equation for the combustion of glucose is:
C6H12O6 + 6O2 -> 6CO2 + 6H2O
From the equation, we can see that for every 1 mole of glucose, 6 moles of oxygen are needed.
To calculate the number of moles of oxygen needed to combust 3.12 moles of glucose, we can use this relationship;-
3.12 moles of glucose * 6 moles of O2/1 mole of glucose = 18.72 moles of O2
So, 18.72 moles of oxygen are needed to combust 3.12 moles of glucose.
Calculate a length of copper wire having a diameter of 0.200 cm and a mass of 15.620 g. The density of copper is 8.92 g/cm3.
The density of the the wire is given 8.92 g/cm³. The mass is 0.200 cm. Thus, length of the copper wire will be 55.7 cm.
What is density ?Density of a substance is the measure of its mass per unit volume. It describes how closely its particles are packed within a given volume. It is the ratio of mass to the volume.
Volume of an object is the space occupied by the object. For a rectangle block, volume is the product of length, width and height.
volume of wire = πr²l
diameter = 0.200 cm
radius = 0.1 cm
volume = 3.14 × (0.1)² l = 0.0314 l
where l is the length of the wire.
Mass of the wire = 15.62 g
density = mass/ volume
d = 15.62 g/ 0.0314 l cm³
= 8.92 g/cm³
Then, l = 55.7 cm.
Therefore, the length of the copper wire is 55.7 cm.
Find more on density:
brainly.com/question/15164682
#SPJ1
Given the reaction: H2 + O2 = HOH How many grams of hydrogen gas are needed to produce 11.2 moles of water vapor?
Answer: 22.6g H2
Explanation:
You need to set up dimensional analysis starting with 11.2moles of H2O (the same as HOH).
First, you need to balance the equation. When balanced, it is:
2H2(g) + O2(g) --> 2H2O(g)
Starting with moles of H2O, you need to go from moles of H2O to moles of H2. To do so, you need to use the mole ratio that you can figure out from the balanced equation. In this case it will be 2mol H2/2mol H2O.
Then just convert to grams using the molar mass of H2 which is 2.016grams.
11.2 mol H2O x (2 mol H2 / 2 mol H2O) x (2.016g H2 / 1 mol H2) = 22.6g H2
When that equation is set up, all units except for grams of H2 will cancel and you'll be able to multiply across.
hydrogen reacts with 32g of oxygen to produce 34g of hydrogen peroxide . how many grams of reactants were reacted
Answer: 32g of oxygen and 4g of hydrogen were reacted in total.
Explanation:
To find out how many grams of reactants were reacted, we need to use the balanced equation of the reaction. The equation for the reaction between hydrogen and oxygen to produce hydrogen peroxide is:
2H2 + O2 --> 2H2O2
From the equation, we know that the reaction involves 2 moles of hydrogen and 1 mole of oxygen. We can use the balanced equation to determine the stoichiometry of the reaction, which tells us the relative number of moles of each reactant and product.
We know that 32g of oxygen was reacted, and since 1 mole of oxygen is equal to 16g, we can calculate the number of moles of oxygen by:
32g / 16g = 2 moles
We know that 2 moles of hydrogen are required for every mole of oxygen. so the number of moles of hydrogen is also 2 moles.
We know that 1 mole of hydrogen is equal to 2g, so we can calculate the number of grams of hydrogen by:
2 moles x 2g = 4g
Therefore, 32g of oxygen and 4g of hydrogen were reacted in total.
If 1 gram of radium decays to 1/2 gram in 1622 Years so, 6 grams decay to 3 grams in
a)9732 years
b) 3244 years
c) 4866 years
d) 1622years
Answer:
Explanation:
Since 1 gram of radium decays to 1/2 gram in 1622 years that means the half-life of radium is 1622 years.
So, 6 grams also decay to 3 grams in 1622years
Which coordinates represent a point that is on the new line?
(2,0), This point is on the new line because it can be represented by the equation y=2x, which is the equation of the new line.
What is equation?An equation is a mathematical statement that expresses the equality of two expressions. It establishes a relationship between the two expressions and shows that they are the same. An equation can contain any number of variables, ranging from zero to infinity. It can be used to solve problems involving unknown values, using a set of algebraic operations such as addition, subtraction, multiplication, division, and exponentiation. Equations can also be used to represent relationships between physical quantities, allowing us to understand how one quantity changes in relation to another. Equations are used in many fields, from engineering and science to economics and finance.
To learn more about equation
https://brainly.com/question/28818351
#SPJ1
mass of N in 0.464g of N2H4
To find the mass of Nitrogen (N) in 0.464 grams of N2H4 (hydrazine), we need to use the molar mass of N2H4 and the proportion of Nitrogen in the compound.
First, the molar mass of N2H4 is (14.01 + 2(14.01) + 4(1.01)) = 32.05 g/mol.
Next, we know that the proportion of Nitrogen in N2H4 is 2 moles of Nitrogen to 1 mole of N2H4, or 2/1.
So, to find the mass of Nitrogen in 0.464 grams of N2H4, we can use the following formula:
Mass of Nitrogen = (mass of N2H4) x (proportion of Nitrogen) / (molar mass of N2H4)
Plugging in the values:
Mass of Nitrogen = (0.464 g) x (2/1) / (32.05 g/mol)
Mass of Nitrogen = 0.028 grams
Therefore, the mass of Nitrogen in 0.464 grams of N2H4 is 0.028 grams.
Step 7: Put the metal in the water and measure temperature changes (Copper)
Initial temperature of metal
=
°C
Initial temperature of water
=
C
Final temperature of both =
DONE
Below is a list of the temperature change solution.
Temperature Change: What Is It?The source of the temperature change is
Initial Temperature - Final Temperature
Temperature measurements
It is a gauge for determining how hot or chilly a body is.
To quantify temperature variations,
The water and iron's beginning and final temperatures are noted.
To Iron
Iron that has been heated up is submerged in water.
Water is at a lower temperature, so both of the temperatures will change.
These information is saved.
Final temperature minus initial temperature equals temperature change.
a) The difference in temperature for metal is 200 - 100 = 100 0C
Water temperature change = 22.5
Change in temperature for both = 23.3
b) 0.7 for water
Metal 76.6 for iron
To learn more about temperature changes from given link
https://brainly.com/question/27740276
#SPJ1
Complete Question -
Put the Metal in the Water and Measure
Temperature Changes (Lead)
Measure the initial temperature of the water to the
nearest 0.1°C. Record in the data table.
Initial temperature of metal =
Initial temperature of water
Final temperature of both = [
27
DONE
26
25
24
23
Intro
Continue
AL
250 ml
=பா-©
200
150
100
1
27
O
°C
°C
Byron is a goal had always been to complete
Byron's goal had always been to compete in the Olympics as a runner. He had told all his family and friends, and he was dedicated to his dream: Byron's goal was to run in the Olympics.
What was the Olympics' primary objective?A four-year carnival of world sports is the Olympic Games. The ultimate objectives are to develop people through sport and promote peace in the globe. Winter Games and Summer Games are different events.Byron was an odd creature; because of his fatalistic outlook on life, he let fate govern him and therefore did whatever he pleased, regardless of what other people thought or said about him. He believed he could do whatever he wanted because he was one of the most famous and decadent poets of his day (he even had a pet bear at his university!).Every four years, the Olympic Games bring together athletes from throughout the world.To learn more about Byron's goal refer to:
https://brainly.com/question/13229160
#SPJ1
This compound gives off some gold sparks in a flame test. With Sodium Hydroxide or Ammonia, an orange brown precipitate forms. If NaOH and aluminum are added and the compound is warmed, red litmus paper will turn blue and an odor will be produced. Determine the name and formula of this compound.
Iron hydroxide is the compound that gives off some gold sparks in a flame test and the chemical formula of the compound is Fe(OH)₃.
What is a compound?Compound is defined as a chemical substance made up of identical molecules containing atoms from more than one type of chemical element.
Molecule consisting atoms of only one element is not called compound.It is transformed into new substances during chemical reactions. There are four major types of compounds depending on chemical bonding present in them.They are:
1)Molecular compounds where in atoms are joined by covalent bonds.
2) ionic compounds where atoms are joined by ionic bond.
3)Inter-metallic compounds where atoms are held by metallic bonds
4) co-ordination complexes where atoms are held by co-ordinate bonds.
Learn more about compounds,here:
https://brainly.com/question/13516179
#SPJ1
Nitrogen gas reacts with hydrogen gas to produce ammonia according to the following equation: N2(g)+3H2–>2NH3(g)
What is the mass of ammonia produced from 6.5 grams of hydrogen reactant, assuming there is a sufficient nitrogen to react? Give an explanation
a. 4 g NH3
b. 8 g NH3
c. 37 g NH3
d. 55 g NH3
As per the balanced reaction, 3 moles or 6 g of hydrogen gas produces 2 moles or 34 g of ammonia. Then, 6.5 g of hydrogen produces 36.8 g of ammonia.
What is ammonia ?Ammonia is a covalent compound formed from the nitrogen atom and three hydrogen atoms. The process of manufacturing of ammonia is called Haber process.
As per the balanced reaction, 3 moles or 6 g of hydrogen gas produces 2 moles or 34 g of ammonia. Then, 6.5 g of hydrogen produces 36.8 g of ammonia.
The mass of ammonia produced from 6.5 g of hydrogen is calculated as follows:
mass of ammonia = (6.5 × 34 g) / 6 g = 36.8 g
Therefore, the mass of ammonia produced from 6.5 g of hydrogen gas is 36.8 g.
Find more on ammonia:
https://brainly.com/question/15409518
#SPJ1
An atom has a diameter of 3.50 Å and the nucleus of that atom has a diameter of 6.50×10−5 Å . Determine the fraction of the volume of the atom that is taken up by the nucleus. Assume the atom and the nucleus are a sphere.
fraction of atomic volume:
1.43236148
×10
−14
Calculate the density of a proton, given that the mass of a proton is 1.0073 amu and the diameter of a proton is 1.73×10−15 m .
density:
g/cm 3
A proton's density is equal to 3.962 E14 g/cm3, given that it has a mass of 1.0073 amu and a diameter of 1.73 1015 m.
What do protons go by?Although protons were once thought to be elementary particles, the Standard Model of particle physics now recognises them as composite particles that comprise three valence quarks. Protons and neutrons are collectively referred to as hadrons.
Proton mass = 1.0073 amu, amu = 1.66054 E-24 g, and g proton = (1.0073 amu)(1.06654 E-24 g/amu = 1.074 E-24 g.
V = 4/3πr³\s∴ For example, r = D/2 ≈ 1.73 E-15 m)/2 = 8.65 E-16 m, where V = (4/3) (8.65 E-16 m) 3 = (1.074 E-24 g)/(2.711 E-39 cm3) = 3.962 E14 g/cm3
What is an example of a proton?Protons include the H+ ion or the hydrogen atom's nucleus. Regardless of the isotope, each hydrogen atom has one proton, each helium atom has two, each lithium atom has three, and so on.
To know more about proton visit:
https://brainly.com/question/1252435
#SPJ1
A sample of gold required 3.25 x 104 J of heat to melt it from
room temperature, 23.2°C, to its melting point, 1064.4°C. How
many pounds of gold were in the sample?
According to the question, 0.55 lb many pounds of gold were in the sample of heat to melt it from room temperature.
What is heat?
Heat is the transfer of energy from one object to another due to the temperature difference between them. Heat is the form of energy that is transferred between two objects with different temperatures. Heat moves from the object with the higher temperature to the object with the lower temperature. Heat is also created when an object does work, such as friction or compression. Heat transfer can happen through conduction, convection, and radiation. Conduction occurs when two objects of different temperatures are in direct contact with each other.
The specific heat of gold is 0.128 J/g°C.
3.25 x 104 J = (3.25 x 104 J) / (0.128 J/g°C x 841.2°C)
= 2.5 x 103 g
2.5 x 103 g = (2.5 x 103 g) / (453.6 g/lb)
= 0.55 lb of gold
To learn more about heat
https://brainly.com/question/25603269
#SPJ1
When a solution goes through a flame test, a lilac flame is produced, and the solution does not react with NaOH or NH3. When mixed with silver nitrate, a cream colored precipitate is formed. Determine the name and formula for the compound in this solution.
Answer: Potassium bromide, KBr
Explanation:
Potassium gives a lilac flame in flame test and Bromide ions produce a cream precipitate when they react with Silver ions to form Silver bromide
Which example is a biotic factor of an aquarium environment?
Responses
amount of oxygen in the water
water temperature
amount of sand in the aquarium
number of underwater plants
To solve this we must be knowing each and every concept related to environment. Therefore, the correct option is option B among all the given options.
What is environment?An environment may be simply defined as a system that includes all abiotic and biotic components that have an impact on human life. All flora and animals are considered biotic, or living, elements, whereas water, sunshine, air, temperature, etc. are considered abiotic.
Any good, service, or feature that benefits people and society might be considered one of an environment's resources. They might be anything that fulfills a person's requirements on a daily basis. Amount of oxygen in the water is a biotic factor of an aquarium environment.
Therefore, the correct option is option B.
To know more about environment, here:
https://brainly.com/question/28962722
#SPJ1
Answer: B: Water Temperature
Explanation: k12 test 1.04 Science Life semester 2
when burning magnesium is lowered in a gas jar full of carbon 4 oxide it continued to burn explain
When burning magnesium is lowered in a gas jar full of carbon dioxide, the burning process continues because the carbon dioxide acts as an oxidizing agent.
What is a combustion reaction?A combustion reaction is a type of chemical reaction that occurs when a fuel, such as a hydrocarbon, reacts with an oxidizing agent, such as oxygen, to produce heat and light in the form of a flame. The basic equation for a combustion reaction is:
Fuel + Oxidant → Heat + Light + Products
In the case of burning magnesium, the fuel is magnesium and the oxidant is carbon dioxide. The products of the reaction are magnesium oxide and carbon dioxide. Combustion reactions are exothermic, meaning they release energy in the form of heat.
This means that the carbon dioxide provides the oxygen necessary for the combustion reaction to continue, allowing the magnesium to continue burning. Additionally, the carbon dioxide also helps to extinguish the flame by removing the heat and the oxygen from the combustion zone.
To know more about energy, visit:
https://brainly.com/question/1932868
#SPJ1
How many moles in 68 grams of so2? (Show work pls)
The number of mole in 68 grams of sulphur dioxide, SO₂ is 1.06 mole
How do I determine the number of mole of SO₂?The number of mole of a substance is defined by the following formula:
Mole = mass / molar mass
Using the above fromula, we can obtain the number of mole in 68 grams of sulphur dioxide, SO₂. This is shown below:
Mass of SO₂ = 68 grams Molar mass of sulphur = 32 g/mol Molar mass of O = 16 g/molMolar mass of SO₂ = 32 + (2 × 16) = 32 + 32 = 64 g/molNumber of mole of SO₂ =?Mole = mass / molar mass
Number of mole of SO₂ = 68 / 64
Number of mole of SO₂ = 1.06 mole
Thus, we can conclude that the number of mole is 1.06 mole
Learn more about mole:
https://brainly.com/question/13314627
#SPJ1
A raindrop has a mass of 0.041 g. How many moles of water does a raindrop contain?
Answer: 0.0023mol
Explanation:
Molar Mass of Water is 18.01g/mol
0.041g H2O*(mol/18.01g) = 0.0023mol
What causes pressure inside a bicycle tire?
A. The air particles pushing on the tire as they expand
B. The collisions of the air particles with one another
C. The collisions of the air particles with the surface of the tire
D. The air particles vibrating near the surface of the tire
Answer:
A. The air particles pushing on the tire as they expand
Explanation:
Answer: A is the right answer
Explanation:
The air pressure inside a bicycle tire is caused by the weight of the air molecules pressing down on the surface of the tire. This is why you can sometimes hear a hissing sound when you first get a flat tire – it’s because the air is escaping from the tire and equalizing the pressure inside and outside of the tire.
At what temperature does Benzene boil when the external pressure is 440 torr
The boiling point of benzene when the external pressure is 440 torr is 80.1 °C (176.2 °F).
What is benzene?
Benzene is an organic compound composed of six carbon atoms in a ring structure, with one hydrogen atom attached to each carbon atom. It is a highly flammable, colorless liquid with a sweet smell. Benzene is a natural component of crude oil and is one of the most important organic chemicals used in industry. It is used in the production of plastics, resins, synthetic fibers, rubber, pesticides, detergents, drugs, and dyes. It is also used as a solvent for fats, oils, waxes, resins, and inks. Benzene is classified as a carcinogen and its exposure can cause a variety of adverse health effects, including acute myelogenous leukemia, lymphomas, and other forms of cancer.
To learn more about benzene
https://brainly.com/question/17211567
#SPJ1
Write the thermochemical equation of the reaction
between CO (g) and hydrogen, as a result of which CH4 (g) and
H₂O (g) are formed. How much heat will be released during this
reaction if 67.2 liters of methane were obtained in terms of
normal conditions?
The thermochemical equation of the reaction is CO (g) + 3H₂ (g) ⇒ CH₄ + H₂O. 48 KJ heat will be released during this reaction if 67.2 liters of methane.
What is thermochemical equation ?A balanced stoichiometric chemical equation that includes the enthalpy change i.e, ΔH is called as thermochemical equation.
At STP,
1 mole of any gas occupies a volume of 22.4 L.
The volume of 67.2 L corresponds to 67.2 / 22.
= 3 moles.
1 mole of CO₂ obtained from 1 mole of methane.
3 moles of CH₄ will be obtained from 3 moles of CO₂.
The molar mass of methane = 16 g/mol.
Then, the mass of 3 moles of methane = 3 × 16
= 48 KJ
Thus,The thermochemical equation of the reaction is CO (g) + 3H₂ (g) ⇒ CH₄ + H₂O. 48 KJ heat will be released during this reaction if 67.2 liters of methane.
To learn more about thermochemical equation, follow the link;
https://brainly.com/question/2874342
#SPJ1
How are atoms of sodium and chlorine similar and different from one another?
Answer:
similar as they both have valency of 1
different as sodium is metal while chlorine is non metal
How to name ions from radicals
To name ions from radicals, first identify the charge of the ion by counting the number of protons and electrons.
What do you mean ions?
Ions are atoms or molecules that have gained or lost one or more electrons and thus have a net electric charge. They are formed when an atom gains or loses electrons in a chemical reaction. Examples of common ions include sodium (Na+), chloride (Cl-), calcium (Ca2+), and magnesium (Mg2+).
Then determine the name of the ion based on its charge. For example, if the ion has a positive charge, it is called a cation; if it has a negative charge, it is called an anion. Finally, name the ion using the element's name and its charge. For example, a radical with two protons and one electron would be a cation and would be named “Hydrogen ion”.
To know more about ions,
https://brainly.com/question/7222067
#SPJ1
help for 20 points please
Answer:
hi
Explanation:
Neutralization of 1 liter of a solution containing 1,4 g of
KOH requires 50 cm³of an acid solution. Calculate the
normality of the acid solution.
(Answer: 0,53 n.) how?
The normality of the acid solution is 0.53N.
What is Neutralization?The process by which an acid and a base neutralize one another. As a result of their reaction, an acid and a base produce heat as well as salt and water.
To calculate the normality of the acid solution, you need to know the number of moles of acid used in the neutralization reaction. Since the volume of the acid solution is given in cm³ and the molarity (normality) is in moles per liter, you will first need to convert the volume to liters.
1 cm³ = 0.001 liters
So, 50 cm³ = 0.05 liters
To find the number of moles of acid used, divide the volume in liters by the molarity:
moles acid = volume acid/molarity acid
Next, you can use the balanced equation for the neutralization reaction between KOH and the acid to find the number of moles of KOH that reacted.
1 mole KOH = 1 mole H+
The number of moles of KOH is 1.4/56.11
moles acid = volume acid / molarity acid = 0.05 / (1.4/56.11)
molarity acid = 0.05 / (1.4/56.11) = 0.53 n.
To know more about neutralization, visit:
brainly.com/question/27891712
#SPJ1
What is the mass of 5 moles of al2o3? (Show work please)
Answer: 509.8 g
Explanation:
5 moles Al₂O₃
Al: 2 x 26.98 g = 53.96 g
O: 3 x 16.00 g = 48.00 g
Total grams = 101.96 g
1 mole of Al₂O₃ = 101.96 g
5 mol Al₂O₃ x (101.96 g Al₂O₃/1 mol Al₂O₃) = 509.8 g Al₂O₃
Note that moles of Al₂O₃ cancel and you are left with grams, which is what you want.