The pressure of 0.540 mol of an ideal gas at 35.5 L and 223K is 0.278atm.
How to calculate pressure?The pressure of an ideal gas can be calculated by using the ideal gas law equation as follows:
PV = nRT
Where;
P = pressureV = volumen = no of molesR = gas law constantT = temperatureAccording to this question, 0.540 moles of an ideal gas contains a volume of 35.5 L and a temperature of 223K. The pressure can be calculated as follows:
P × 35.5 = 0.540 × 0.0821 × 223
35.5P = 9.886
P = 0.278atm
Therefore, the pressure of 0.540 mol of an ideal gas at 35.5 L and 223K is 0.278atm.
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How many atoms are in 4.36 moles of copper ?
Answer:
Moles of Cr in 4.36×1023 atoms of Cr?
I mass of Cr = 52.00
A's# = 6.02x10^23
I don't know how to approach this. Help?
Update:
Moles of Cr in 4.36×10^23 atoms of Cr?
Update 2:
ALSO......
moles of Cu in 9.7×10^21 atoms of Cu?
moles of C2H6 in 2.75×10^23 molecules of C2H6?
Explanation:
Consider the energy diagram below.
Which line indicates a higher reaction rate?
A because it has a lower activation energy.
B because it has a lower activation energy.
A because its (angle)Grxn is much lower.
B because its (angle)Grxn is much lower.
1. What is the modern view of electrons in the quantum mechanical model?
Answer: An electron con only exist in a limited number of quantized energy levels.
Explanation:
The Russian Mir space station used a chemical oxygen generator system to make oxygen for the crew. The system ignited a tube of solid lithium perchlorate (LiClO4) to make oxygen and lithium chloride (LiCl):
LiClO4 (s) 2O2 (g) + LiCl (s)
If you have 500 g of LiClO4, then how many liters of oxygen will the system make at the station’s standard operating conditions, a pressure of 101.5 kPa and a temperature of 21°C?
At the usual working conditions of 101.5 kPa and 21°C, the chemical oxygen generator system would generate roughly 220.84 litres of oxygen using 500 g of LiClO4.
We may use the ideal gas law and stoichiometry to calculate how many litres of oxygen are created by the chemical oxygen generator system employing 500 g of LiClO4.
We must first determine the moles of LiClO4. LiClO4 has a molar mass of approximately 106.39 g/mol. As a result, 4.704 mol of LiClO4 are produced from 500 g of LiClO4 using the formula: 500 g / 106.39 g/mol
We can see from the chemical equation that 1 mole of LiClO4 results in 2 moles of O2. 4.704 mol of LiClO4 will therefore result in:
2 mol O2 / 1 mol LiClO4 4.704 mol LiClO4 = 9.408 mol O2
The moles of O2 under the specified conditions must then be converted to volume. The ideal gas law, which goes as follows:
PV = nRT
Where:
P = pressure = 101.5 kPa
V = volume (in liters)
n = moles of gas = 9.408 mol
R = ideal gas constant = 8.314 J/(mol·K)
T = temperature = 21°C = 294 K (converted to Kelvin)
Rearranging the equation to solve for V:
V = (nRT) / P
V = (9.408 mol × 8.314 J/(mol·K) × 294 K) / (101.5 kPa × 1000 Pa/kPa)
Simplifying the units:
V = (9.408 × 8.314 × 294) / 101.5
V ≈ 220.84 liters
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Which refers to the passing of a wave through an object?
sound
O interference
O transmission
O frequency
O sound
The term that refers to the passing of a wave through an object is "transmission."
Transmission refers to the process by which a wave passes through an object or medium. In the context of sound, transmission occurs when sound waves travel through different substances, such as air, water, or solids.
When a sound wave encounters an object, it can be transmitted through it, reflected off it, or absorbed by it, depending on the properties of the object and the medium through which the sound is traveling.
For example, when you speak into a microphone, the sound waves produced by your voice travel through the air and are transmitted to the microphone's diaphragm. The diaphragm converts the sound waves into electrical signals, which can then be amplified and reproduced as sound through speakers.
In summary, transmission is the term used to describe the passage of a wave, such as a sound wave, through an object or medium. It is an essential concept in understanding how waves interact with their surroundings and how sound propagates through different materials.
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MULTIPLE CHOICE QUESTION
How many grams of Al203 were
decomposed?
287.13
200g
888g
1148.52g
287.13 grams of Al₂O₃ were decomposed. Therefore, option A is correct.
What is molar mass ?The term molar mass is defined as the mass in grams of one mole of the compound. A mole of any substance is 6.022 × 10²³ molecules. It is called as Avogadro's number. The molar mass is a bulk property, it is not molecular, property of a substance.
2Al₂O₃ ⇒ 4Al + 3O₂
Thus, 4 mol of Al combine with 3 mol of oxygen to form 2 mol of Al₂O₃.
2 mol of Al corresponds to 2 × 27 = 54g
Thus, the weight of Al used in the reaction is 108 g.
Molar mass of Al₂O₃ is 101.96g/mol.
5.63 moles of Al = 5.63 × 54 / 101.96
= 287.13 grams
Thus, 287.13 grams of Al₂0₃ were decomposed, option A is correct.
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Steel is an alloy of iron and carbon. The addition of carbon to iron enhances which of the following properties of iron metal?
O A hardness
O B. malleability
O C. ductility
O D. softness
Answer:
The answer should be A. Adding carbon to iron makes it tougher and stronger.
The addition of carbon atom to iron metal, enhances the property of hardness of metal.
What is alloy?Alloy is a compound which is formed by the mixture of two or more than two metals with different properties to make a new compound with better properties.
When we add carbon atom in the iron metal, it deviates the crystal lattice property of iron and makes it more harder. So, the content of carbon in the iron is directly proportional to the hardness of iron metal.
Hence, option (A) is correct i.e. hardness.
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why is the sun earth and moon system important
The Sun-Earth-Moon system is important because it sustains life on Earth, regulates Earth's climate, and influences natural phenomena like tides.
The Sun-Earth-Moon system plays a vital role in supporting and sustaining life on Earth. The Sun is the primary source of energy for our planet, providing heat and light necessary for photosynthesis, the process by which plants convert sunlight into food and oxygen. Sunlight is also crucial for maintaining Earth's temperature and driving weather patterns.
The Moon, as Earth's only natural satellite, contributes to several essential functions. Its gravitational pull creates the tides, which influence coastal ecosystems and shape coastal landscapes.
The Moon's orbit also stabilizes Earth's axial tilt, providing a stable climate for life to thrive. Additionally, the Moon's phases have cultural and historical significance, influencing human activities such as agriculture, navigation, and calendar systems.
The Sun-Earth-Moon system's interactions are responsible for natural phenomena like eclipses, both solar and lunar, which have fascinated humans throughout history and continue to be important for scientific study and exploration.
Understanding these celestial events enhances our knowledge of astrophysics and helps us comprehend the vastness and complexity of the universe.
Furthermore, the study of the Sun-Earth-Moon system provides insights into celestial mechanics, orbital dynamics, and the broader field of planetary science. By examining the interplay between these celestial bodies, scientists can gain a deeper understanding of Earth's place in the universe and explore potential habitable conditions on other celestial bodies.
Overall, the Sun-Earth-Moon system is of immense importance as it sustains life, regulates climate, influences natural phenomena, and provides a platform for scientific exploration and discovery.
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Drag the words to the correct locations to match the three main components of an aquaponics system with their functions.
Answer:these remove the nitrate from. The water - plants
These produce waste that contains ammonia- fish
These convert ammonia into nitrate-bacteria
Explanation:
Plants remove the nitrate from the water, fishes produce waste that contains ammonia, and bacteria convert ammonia into nitrate.
An aquaponics system is a sustainable method of agriculture that combines aquaculture with hydroponics. In this system, fish or other aquatic animals are kept in a tank or pond. The fish produce waste in the form of ammonia-rich water.
This wastewater is then circulated to the hydroponic component of the system, where plants are grown in a soil-less medium or directly in water. Beneficial bacteria in the system convert ammonia into nitrites and then nitrates, which are essential nutrients for plants.
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How many molecules of oxygen are there in a 240.g sample of Oz gas? *
1 point
8.98 x 1023 molecules
1.26 x 1025 molecules
4.52 x 1024 molecules
1.26 x 1024 molecules
6.32 x 1024 molecules
Answer:
the second one
Explanation:
because all of them are under
Why might one type of cell have more mitochondria than another type of cell?
Answer:
Some cells have more mitochondria than others. Your fat cells have many mitochondria because they store a lot of energy. Muscle cells have many mitochondria, which allows them to respond quickly to the need for doing work.
the atomic mass of each atom is given below its symbol in the equation. find the energy released (in kj) when 2.10 g of plutonium undergoes this particular fission. hint given in feedback.
The energy released when 2.10 g of plutonium undergoes this particular fission is 2.530 ×10^17 KJ .
239.052 + 1.008665 -[95.916 + 139.917 +4 × 1.008665]
240.06066 - 239.86766 = 0.193 amu
0.193 amu = 2.88036 × 10^11 J
= 2.88036 × 10^15 KJ
1 mole polonium released energy is 2.88036 × 10^15 KJ
239.052 gm polonium released energy is 2.88036 × 10^15 KJ
2.10 gm polonium released energy is 2.88036 × 10^15 KJ ×2.10 / 239.052
= 0.02530× 10^15
= 2.530 ×10^17 KJ .
Energy, in physics, is the capability for doing work. it can exist in ability, kinetic, thermal, electric, chemical, nuclear, or different numerous bureaucracies. There are, furthermore, heat and works—i.e., power within the method of transfer from one body to any other. After it's been transferred, power is usually unique according to its nature.
All types of energies are associated with movement. For instance, any given frame has kinetic energy if it's miles in motion. A tensioned tool together with a bow or spring, although at relaxation, has the potential for developing movement; it carries capability energy because of its configuration. Similarly, nuclear energy is potential energy because it consequences of the configuration of subatomic debris within the nucleus of an atom.
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The specific heat of palladium is 0.239 J/g°C. How much heat (q) is released when a 10.0 g piece of platinum cools from 100.0°C to 50.0°C?
Answer:
119.5 J
Explanation:
First we calculate the temperature difference:
ΔT = 100 °C - 50 °C = 50 °CThen we can calculate the heat released by using the following formula:
q = Cp * ΔT * mWhere q is the heat, Cp is the specific heat, ΔT is the temperature difference and m is the mass.
We input the data:
q = 0.239 J/g°C * 50 °C * 10.0 gq = 119.5 Jmoles of each product that would form as a result of the decomposition of aspirin
The decomposition of aspirin (acetylsalicylic acid,\(C_{9} H_{8} O_{4}\)) can occur through the hydrolysis reaction, resulting in the formation of acetic acid (\(CH_{3} COOH\)) and salicylic acid (\(C_{7} H_{6}O_{3}\)).
The decomposition of aspirin (acetylsalicylic acid, \(C_{9} H_{8} O_{4}\)) can occur through the hydrolysis reaction, resulting in the formation of acetic acid (\(CH_{3} COOH\)) and salicylic acid (\(C_{7} H_{6}O_{3}\)). To determine the moles of each product formed, we need to consider the balanced chemical equation for the reaction:
\(C_{9} H_{8} O_{4} = > C_{7} H_{6}O_{3} +CH_{3} COOH\)
From the equation, we can see that for every 1 mole of aspirin, 1 mole of salicylic acid and 1 mole of acetic acid are produced.
Therefore, the moles of salicylic acid and acetic acid formed will be equal to the number of moles of aspirin that decomposes. If we know the amount of aspirin in moles, we can directly calculate the moles of each product based on stoichiometry.
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Hydrogen gas + chlorine gas yields hydrogen chloride
Answer:
\(H_{2} + Cl_{2} --> 2HCl\)
Explanation:
Hydrogen and chlorine are both diatomic, which means they occur in molecular pairs as gases. This means you will have two atoms of each on the left in the reactants, so you will need to add a coefficient of 2 to have 2 atoms of each on the right in the products.
Question 10 of 10
Stacy set up three vials on a hot plate. He poured the same amount of liquid
into each of the vials, and then he turned on the hot plate. Which physical
property is he most likely testing?
OA. Hardness
OB. Surface tension
O C. Boiling point
OD. Melting point
Answer:C
Explanation:
C. Boiling point
Stacy is most likely testing the boiling point of the liquid in each vial. By heating the vials on the hot plate, he is increasing the temperature of the liquid and observing when it begins to boil. Boiling point is a physical property of a substance that is affected by factors such as pressure and temperature. It is the temperature at which the vapor pressure of the liquid is equal to the pressure exerted on the liquid by its surroundings. Therefore, by testing the boiling point of the liquid, Stacy can determine its identity or purity.
When an aqueous solution of AgNO3 is electrolyzed, a gas is observed to form at the anode. The gas is
Answer:
Oxygen
Explanation:
First, list out all the ions in the aqueous solution:
Ag+, NO3-
H+, OH-
In the anode, the substance lose electrons to undergo oxidation.
From the 4 ions, only OH- can lose electrons to form water and oxygen,
4OH- ---> O2 + 2H2O + 4e-
While others tend to gain electrons to form new substances instead (they undergo reduction).
Oxygen is the gas produced.
The gas should be treated as the Oxygen.
Identification of the gas:here First, list out all the ions that should be in the aqueous solution:
Ag+, NO3-
H+, OH-
In the anode, the substance loses electrons for undergoing oxidation.
From the 4 ions, only OH- can lose electrons to form water and oxygen.
The balanced chemical equation be like
4OH- ---> O2 + 2H2O + 4e-
While on the other hand, it tend to gain electrons to create new substances. Therefore, Oxygen is the gas produced.
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i have a picture of question
The mass of the cereal that you would need to consume can be obtained as 84.8 g
What is the number of moles?The number of moles, denoted by the symbol "n," is a fundamental unit of measurement in chemistry that represents the amount of a substance. It is used to quantify the quantity of atoms, molecules, or ions in a sample.
Number of moles of sucrose in the cereal = 11g/342 g/mol
= 0.03 moles
Now;
0.03 moles of sucrose is contained in 60 g of cereal
0.0424 moles of sucrose would contain 0.0424 moles * 60 g/0.03 moles
= 84.8 g
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What mass of precipitate (in g) is formed when 45.5 mL of 0.300 M Na3PO4 react with 42.5mL of 0.200 M Cr(NO3)3 in the following chemical reaction?
Na3PO4(aq)+ Cr(NO3)3(aq) -> CrPO4(s) +3NaNO3(aq)
The mass of the precipitate, CrPO₄ formed when 45.5 mL of 0.300 M Na₃PO₄ react with 42.5mL of 0.200 M Cr(NO3)₃ is 1.25 g
We'll begin by calculating the number of mole of Na₃PO₄ and Cr(NO3)₃ present in the solution.
For Na₃PO₄Molarity of Na₃PO₄ = 0.3 M
Volume = 45.5 mL = 45.5 / 1000 = 0.0455 L
Mole of Na₃PO₄ =?Mole = Molarity × Volume
Mole of Na₃PO₄ = 0.3 × 0.0455
Mole of Na₃PO₄ = 0.01365 mole For Cr(NO3)₃Molarity of Cr(NO3)₃ = 0.2 M
Volume = 42.5 mL = 42.5 / 1000 = 0.0425 L
Mole of Cr(NO3)₃ =?Mole = Molarity × Volume
Mole of Cr(NO3)₃ = 0.2 × 0.0425
Mole of Cr(NO3)₃ = 0.0085 moleNext, we shall determine the limiting reactant.
Na₃PO₄(aq) + Cr(NO₃)₃(aq) —> CrPO₄(s) + 3NaNO₃(aq)
1 mole : 1 mole
0.01365 : 0.0085 mole
Thus, Cr(NO₃)₃ is the limiting reactant.
Next, we shall determine the number of mole of CrPO₄ produced from the reaction.
From the balanced equation above,
1 mole of Cr(NO₃)₃ reacted to produce 1 mole of CrPO₄.
Therefore,
0.0085 mole of Cr(NO₃)₃ will also react to produce 0.0085 mole of CrPO₄.
Finally, we shall determine the mass of 0.0085 mole of CrPO₄.
Mole of CrPO₄ = 0.0085 mole
Molar mass of CrPO₄ = 52 + 31 + (16×4)
= 52 + 31 + 64
= 147 g/mol
Mass of CrPO₄ =?Mass = mole × molar mass
Mass of CrPO₄ = 0.0085 × 147
Mass of CrPO₄ = 1.25 gTherefore, the mass of the precipitate, CrPO₄ formed is 1.25 g
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A solution with a pH value between 1 and 6
Answer:
One possible answer could be lemon juice
Explanation:
We had to do a water test, and I was looking up what pH levels were. Then I learned about it in school, so I know a thing or two about it :)
Possible other answers include stomach acid and cola.
Hope this helps!!
How many electrons are in 1 mole of carbon atoms?
Answer:
6 electrons
Explanation:
The following balanced equation describes the reduction of iron(III) oxide to molten iron within a blast furnace: Fe2O3(s) + 3CO(g) ---> 2Fe(l) + 3CO2(g) Steve inserts 450. g of iron(III) oxide and 260. g of carbon monoxide into the blast furnace. After cooling the pure liquid iron, Steve determines that he has produced 288g of iron ingots. How much of the excess reactant (in grams) is left over after the theoretical yield of liquid iron is produced?
Answer:
Amount of excess Carbon (ii) oxide left over = 23.75 g
Explanation:
Equation of the reaction: Fe₂O₃ + 3CO ----> 2Fe + 3CO₂
Molar mass of Fe₂O₃ = 160 g/mol;
Molar mass of Carbon (ii) oxide = 28 g/mol
From the equation of reaction, 1 mole of Fe₂O₃ reacts with 3 moles of carbon (ii) oxide; i.e. 160 g of iron (iii) oxide reacts with 84 g (3 * 28 g) of carbon (ii) oxide
450 g of Fe₂O₃ will react with 450 * 84/180) g of carbon (ii) oxide = 236..25 g of carbon (ii) oxide
Therefore the excess reactant is carbon (ii) oxide.
Amount of excess Carbon (ii) oxide left over = 260 - 236.25
Amount of excess Carbon (ii) oxide left over = 23.75 g
Determine the numerical ages of rock samples that contain a parent isotope with a half-life of 100 million
years and have the following percentages of original parent isotope:
50%: Age =
25%: Age =
6%: Age =
Janet dough goes to the doctor for her check up her weight is measured as 115 pounds convert this to kilograms
Answer:
Hi! I believe this is your answer:
52 kilograms
Hope this helps, sorry if it's wrong!
Explanation:
Which structure is the Lewis structure for ammonia (NH3)?
A.
A bond line structure of a compound has N H H H. The nitrogen has two dots at its bottom represents a lone pair of electrons.
B.
A bond line structure of a compound has H N H in the linear plane and hydrogen is branching upward, and the compound is H N (H) H.
C.
A bond line structure of a compound has H N H in linear plane and a hydrogen is branching upward, and the compound is H N (H) H. The nitrogen has two dots at its bottom represents a lone pair of electrons.
D.
A bond line structure of a compound has H N H H. The nitrogen has two dots on its top represents a lone pair of electrons.
Answer: **
H-N-H
|
H
Explanation:
Look at a periodic table to determine how many electrons you need to account for. Hydrogen (H) only has 1 electron, while Nitrogen (N) has 5. We have three Hydrogen atoms and one Nitrogen atom, so the total number of electrons will be 3 * 1 + 5 = 8 e-.
Now, place the center atom, which will be Nitrogen and place the three Hydrogens on three sides of it as above in the answer. You should use single bonds for this. Each single bond is a pair of electrons, so since we have three single bonds so far, we have accounted for 2 * 3 = 6 electrons. However, we need 2 more electrons for the total of 8. We put these electrons in as a lone pair above Nitrogen.
We check to see if everything follows the octet rule: Nitrogen has three single bonds, so that's 6 e-, as well as one lone pair, so that's another 2 e- for a total of 8 e-. Check. Now look at Hydrogen: H is the only element whose full orbital is 2 e-. Each H has a single bond with Nitrogen, so each does have 2 e-.
Thus, we know this is the correct diagram, and we are done.
Explanation:
A bond line structure of a compound has H N H in linear plane and a hydrogen is branching upward, and the compound is H N (H) H. The nitrogen has two dots at its bottom represents a lone pair of electrons. So ,the correct answer is option C.
The correct Lewis structure for ammonia (\(NH_3\)) is option C. It shows a bond line structure with three hydrogen atoms (H) bonded to a central nitrogen atom (N) in a linear plane.
One hydrogen atom branches upward from the plane. Additionally, the nitrogen atom in this structure has two dots at its bottom, indicating a lone pair of electrons. This arrangement follows the octet rule, as nitrogen has formed three covalent bonds with hydrogen, completing its valence shell. The lone pair on nitrogen gives ammonia its characteristic properties.
Thus, option C accurately represents the Lewis structure of ammonia, showing the bonding and lone pair arrangement of its atoms.
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The Lewis diagram for BH2 is:
[H-B-H]-
The electron- pair geometry around the B atom in BH2 is:__________.
There are______lone pair(s) around the central atom, so the geometry of BH2 is________ .
Answer:
Electron pair geometry- trigonal planar
There is one lone pair around the boron atom
The geometry of BH2 is bent
Explanation:
The valence shell electron pair repulsion theory offers a frame work for determining the shape of molecules based on the number of electron pairs of the valence shell of the central atom in the molecule.
In BH2-, the central atom is boron. There is a lone pair on boron. Owing to the lone pair on boron, the molecular geometry of BH2 is bent.
The geometry of the electron pair around the Boron atom in \(BH_2\) is called the trigonal planar. In this case, there is a pair of isolated electrons around Boron, which is the central atom, allowing the \(BH2\) molecule to have a folded geometry.
We can arrive at this answer because:
Boron is an element that has three electrons in its valence layer.With this, we can find out that it can make three covalent bonds or donate these electrons to achieve chemical stability.In the case of the \(BH_2\) molecule, boron forms covalent bonds with Hydrogen.These bonds allow the Hydrogens to be positioned on either side of the Boron molecule, forcing a pair of their electrons to focus on the center of that molecule, until it is attracted to the extremities.This allows for a folded geometry around the molecule, allowing Boron to be an exception to the octet rule and achieve stability with 5 electrons in the valence layer.
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1. Define the Law of Conservation of Mass (via text). Now that you’ve defined this law, explain what it means in your own words using an example.
Explanation:
The law of conservation of mass states that mass can neither be created nor be destroyed.
Explanation in own words = this means that in this universe no one can create or destroy mass.
No physical or chemical force.
based on its electron configuration explain why hydrogen can only have two valence electrons around it when it bonds to other atoms what is the maximim number of bonds hydrtogen will form
Due to the fact that hydrogen only has one electron in its outermost shell, it can only create one covalent connection with an atoms. Although hydrogen configuration of hydrogen is 1s1, and the 1s orbital's
The fundamental building components of matter are atoms. They have an electron-surrounded nucleus made up of protons and neutrons. The element to which an atom belongs is determined by the quantity of protons in the nucleus. For instance, all hydrogen atoms contain a single proton but all carbon atoms have six protons in their nucleus. Atoms may combine to create molecules, which are the building blocks of everything around us. Atoms may also join together to create compounds, which differ from the sum of their component atoms in terms of their chemical and physical characteristics. Atomic science or atomic physics is the study of atoms and how they behave.
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which property is least helpful in identifying a sample of matter? A. melting point B. Volume. C. Reactivity. D. Boiling point
Answer:
which property is least helpful in identifying a sample of matter is (B) VOLUME
Explanation:
volume depend on the amount of substance present and are not useful in the identification of a sample of matter. volume is an extensive property so it is not useful identifying the sample of matter.
How many moles are in 15.2 grams of Calcium (Ca)?
Answer:
There are 0.379 moles of Ca in the given sample.
Explanation:
Hey there!
We're given that we have 15.2 grams of Ca (Calcium). We need to convert grams to moles.
There are many different conversion types for moles. A few examples are:
grams to molesmoles to gramsgrams to particlesmoles to litersThere are really endless possibilities for conversion factors. Since we want to find the number of moles in a certain sample, we first need to define what a mole is.
Mole - a unit of measurement in chemistryA mole is one unit of a certain item. For instance, one cup would be equivalent to one mole. Moles are simply a hypothetical unit in chemistry that act as a placeholder.
Now, how do we find the number of moles?
We know that a mole of something is one of that substance. In this case, we're referring to one atom of Calcium.
Therefore, we need to reference a periodic table to understand what the mass of one atom of calcium is equivalent to. I'll be using the official AP Chemistry periodic table as issued by the College Board.
When we reference the periodic table, we see the mass of one atom of calcium is equivalent to 40.08 amu (atomic mass units).
We learn in chemistry that we can use the terms amu and grams interchangeably, so we have learned that one mole of calcium is equivalent to 40.08 grams.
How do we work this out?
Now, we need to find out how many moles are in 15.2 grams of calcium. We can use dimensional analysis to work this out.
Our starting unit will be 15.2 grams of Ca.
\(\text{15.2 grams Ca}\)We want to convert this into moles, so we need to cancel out our grams value. Additionally, since we know that we have 40.08 grams of Ca in one mole, we can set these up as two ratios:
\(\displaystyle \frac{\text{40.08 grams Ca}}{\text{1 mole Ca}}\)\(\displaystyle \frac{\text{1 mole Ca}}{\text{40.08 grams Ca}}\)These ratios can be used to express the relationship between the moles of calcium and the mass of one calcium atom. However, we need our value of grams to cancel out, so since we will be using cross multiplication in our dimensional analysis, we need to use the ratio with grams on the bottom.
Now that we have selected our ratio, we can set up a multiplication problem of our two ratios:
\(\displaystyle \text{15.2 grams Ca} \times \frac{\text{1 mole Ca}}{\text{40.08 grams Ca}}\)
We assume that we have a denominator of 1 below 15.2 grams Ca.
Now, we perform our multiplication.
\(\displaystyle \frac{\text{15.2 grams Ca} \ \times \ \text{1 mole Ca}}{\text{40.08 grams Ca}}\)
We see that our remaining unit is going to be mole(s) Ca, so we can go ahead and drop our grams Ca unit.
\(\displaystyle \frac{\text{15.2} \ \times \ \text{1 mole Ca}}{\text{40.08}}\)
Now, we need to simplify a little bit.
\(\displaystyle \frac{\text{15.2}}{\text{40.08}} = \text{? moles Ca}\)
Finally, let's divide our fraction and evaluate our equation to find the value of moles Ca.
\(\displaystyle \frac{15.2}{40.08} = \text{0.379241517 moles Ca}\)
Are we done yet?
Not just yet! To complete our work, we need to find the number of significant figures we can use. We are given two values in which we can use to judge how many significant figures we are limited to.
15.2 -- Three significant figures40.08 -- Four significant figuresIn chemistry, we always use the least number of significant figures for precision calculations, so we need to round our answer to three significant figures.
\(0.379241517 \approx 0.379\)
Therefore, there are approximately 0.379 moles of Ca in the given sample.