The answer is is approximately 344.16 L.
To find the volume of 34.6 mol O2 at 2.5 atm and 30°C, we can use the Ideal Gas Law equation: PV = nRT.
In this equation:
P = pressure (2.5 atm)
V = volume (which we need to find)
n = moles of gas (34.6 mol O2)
R = ideal gas constant (0.0821 L atm/mol K)
T = temperature in Kelvin (30°C + 273.15 = 303.15 K)
Rearrange the equation to solve for V: V = nRT / P
Now, plug in the values: V = (34.6 mol)(0.0821 L atm/mol K)(303.15 K) / (2.5 atm)
Calculate the volume: V ≈ 344.16 L
The volume of 34.6 mol O2 at 2.5 atm and 30°C is approximately 344.16 L.
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Write the name and symbol of the ion formedwhen a sulfur atom gains two electrons. a.an aluminum atom loses three electrons. b.a nitrogen atom gains three electrons. c.a calcium atom loses two electrons.
Answer:
SULFUR: S²-
ALUMINIUM: Al³†
NITROGEN: N³-
CALCIUM: Ca²†
The following statements characterize a chemical reaction, EXCEPT a.The atoms of the substance rearrange, but the total number of atoms remain the same after the reaction. b.a change in odor c.a change in the total mass of the product d.Energy is involved in the reaction that is either absorbed or released.
Answer:
C. a change in the total mass of the product
Explanation:
A chemical reaction is a reaction that alters the chemical composition of the substances involved. Based on the options in this question, a chemical reaction possess the following features:
- The atoms of the substance called reactants are rearranged into products but the total number of atoms remain the same after the reaction.
- A change in odor occurs as one of the indicators that a chemical reaction has taken place.
- Energy is either absorbed (endothermic) or released (exothermic) in the chemical reaction.
However, one untrue option is that "there is a change in the total mass of the product". The total mass of a chemical reaction does not change i.e. remains the same, before or after the reaction in accordance to the law of conservation of mass.
Design a synthesis of diphenylmethanol from starting materials containing 6 carbons or fewer and only C, H, and/or O in their structure.
Diphenylmethanol may be synthesized by a Grignard reaction between phenylmagnesium bromide and benzaldehyde as the staring material.
A Grignard reagent is an organometallic compound that is formed by reacting an alkyl or aryl halide with magnesium metal in anhydrous ether or THF (tetrahydrofuran) solvent.
To synthesize diphenylmethanol from a Grignard reaction between phenylmagnesium bromide and benzaldehyde, the following steps can be followed:
1. Start with benzaldehyde (\(\rm C_6H_5CHO\)) as the starting material.
2. React benzaldehyde with an excess of phenylmagnesium bromide \(\rm (C_6H_5MgBr)\) in anhydrous ether or THF (tetrahydrofuran) as a solvent. This will form the Grignard reagent, phenylmagnesium bromide \(\rm (C_6H_5MgBr)\).
3. After the addition of phenylmagnesium bromide, add water or dilute acid (such as hydrochloric acid) to the reaction mixture to hydrolyze the Grignard reagent. This will lead to the formation of diphenylmethanol.
4. Isolate and purify diphenylmethanol through techniques such as extraction, distillation, or recrystallization.
Therefore, overall reaction for the synthesis of diphenylmethanol using benzaldehyde as the staring material:
\(\rm Benzaldehyde + Phenylmagnesium bromide \rightarrow Diphenylmethanol\)
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Number of atoms in 125 g of C2H22011
A train station in Tokyo uses tiles that convert people’s footsteps into electricity.
A.Restore
B. Rethink
C. Reduce
D. reuse
Answer:
reuse
Explanation:
Heating Curve Question
How much energy is required to raise the temperature of 88 grams of water at 48°C to steam at 138°
Answer:
Q = 33105.6 J
Explanation:
Given that,
Mass of water, m = 88 grams
The temperature raised from 48°C to steam at 138°.
We need to find the energy required to raise the temperature. The formula for the energy required is given by :
\(Q=mc\Delta T\)
Where
c is specific heat of water, c = 4.18J/g °C
So,
\(Q=88\times 4.18\times (138-48)\\\\Q=33105.6\ J\)
So, the required energy is 33105.6 J.
a chemist prepares a solution of calcium sulfate by measuring out 0.53 umol of calcium sulfate into a 350 ml volumetric flask and filling the flask to the mark with water. calculate the concentration in of the chemist's calcium sulfate solution. round your answer to significant digits.
The chemist prepares a solution of calcium sulfate by measuring out 0.53 umol of calcium sulfate into a 350 ml volumetric flask and filling the flask to the mark with water. The concentration of a solution is 1.5 uM.
The concentration or molarity of a solution is defined as the number of moles present in the specific volume of a solution. It is calculated as
Concentration=moles/volume(in L)
The volume of a solution is in mL. Convert the given volume in L
350 ml×(1 L/1000 mL)=0.35 L
Plug the value of moles and volume in the formula
Concentration=0.53 umol/0.35 L
Concentration=1.51429 umol/L
Concentration=1.5 uM (∵M=mol/L)
Therefore, the concentration of a solution is 1.5 uM.
I have answered the question in general as given question is incomplete. The complete question is
a chemist prepares a solution of calcium sulfate by measuring out 0.53 umol of calcium sulfate into a 350 ml volumetric flask and filling the flask to the mark with water. calculate the concentration in uM of the chemist's calcium sulfate solution. round your answer to two significant digits.
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The bond length of a covalent bond is the distance between the nuclei of two bonded atoms. The larger the atoms, the _____ this distance will be. Bond length therefore _____ as atomic size decreases.
Answer:
Bonding;lone
Explanation:
Predict whether or not the substances in the table will sublime at STP. Base your predictions only on the type of force holding the solid together.
The states of matter of the materials;
1) Dispersion forces - Yes
2) Hydrogen bonding - No
3) Ionic - No
4) Dispersion forces - No
5) Dispersion forces - Yes
6) Ionic - No
7) Hydrogen bonding - No
What is the sublimation?
Sublimation is a physical process in which a substance transitions directly from its solid phase to its gaseous phase without passing through the intermediate liquid phase. In sublimation, the solid substance is heated, and the resulting gas molecules escape from the solid lattice structure without the need for melting.
One common example of sublimation is the process of dry ice. Dry ice is solid carbon dioxide (CO2) that sublimes at a temperature of -78.5 degrees Celsius (-109.3 degrees Fahrenheit). When dry ice is exposed to room temperature, it transitions directly from a solid to a gas, producing a fog-like effect.
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7. Ionic solids use regular, repeating patterns to create crystal-like structures.
Fe+2 and S-2 are shown below. Use 10 cations and 10 anions to build the crystal
lattice structure of FeS (your final model should have 20 circles.)
Ionic solids use regular, repeating patterns to create crystal-like structures. Therefore, lattice structure of FeS is of cubic.
What is Ionic solids?Ionic solids would those be crystalline solids that include ions with opposite charges that are kept together by intense electrostatic forces of attraction. (ionic bonds). Examples: Ionic solids like NaCl, KBr, etc. have crystals. Describe how the anions and cations are arranged using a clear geometric design.
Describe how the anions and cations are arranged using a clear geometric design. They thus exist at room temperature as crystalline solids. They never exist as liquids or gases under normal pressure and temperature circumstances. Lattice structure of FeS is of cubic.
Therefore, lattice structure of FeS is of cubic.
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how many grams of baf2 will be dissolved in 125 ml of a saturated solution of baf2? baf2(s) ⇔ ba2 (aq) 2f-(aq) ksp = 1.50 x 10-6
approximately 0.27 grams of BaF2 will be dissolved in 125 mL of the saturated solution of BaF2.
How to solve the problem?
The solubility product constant (Ksp) for BaF₂ is given as 1.50 x 10⁻⁶. This means that at equilibrium, the product of the concentration of Ba₂₊ and F- ions will be equal to Ksp.
The balanced equation for the dissolution of BaF₂ is BaF₂(s) ⇔ Ba₂₊(aq) + 2F-(aq).
We can use the Ksp value to determine the concentration of Ba₂₊ and F- ions in a saturated solution of BaF₂
Let x be the molar solubility of BaF₂. Then, the concentration of Ba₂₊ ions in the saturated solution will be x mol/L, and the concentration of F- ions will be 2x mol/L, according to the stoichiometry of the balanced equation.
The Ksp expression can be written as:
Ksp = [Ba₂₊][F-]²
Substituting the expressions for the concentrations of Ba₂₊ and F- ions, we get:
Ksp = x (2x)⅝ = 4x³
Solving for x, we get:
x³= Ksp / 4 = 1.50 x 10⁻⁶/ 4 = 3.75 x 10⁻⁷
x = (3.75 x 10⁻⁷)¹/³ = 0.0077 mol/L
This means that the molar solubility of BaF₂ is 0.0077 mol/L in water.
To determine the mass of BaF₂ that will be dissolved in 125 mL of this saturated solution, we can use the following formula:
mass = concentration x volume x molar mass
The molar mass of BaF₂ is 175.32 g/mol.
The concentration of BaF₂ Is equal to its molar solubility, which is 0.0077 mol/L.
The volume of the solution is 125 mL, which is equal to 0.125 L.
Substituting these values in the formula, we get:
mass = 0.0077 mol/L x 0.125 L x 175.32 g/mol
mass = 0.27 g (approx.)
Therefore, approximately 0.27 grams of BaF₂will be dissolved in 125 mL of the saturated solution of BaF₂
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28. Which statement is INCORRECT regarding radiation?
a. Thicker materials offer better shielding against radiation
b. Gamma radiation is the only type that can cause health effects
c. Traveling further away from a source of radiation reduces your exposure
d. Each type of radiation can be detected by a device called a Geiger counter
Answer:
Radiation is energy. It can come from unstable atoms that undergo radioactive decay, or it can be produced by machines. Radiation travels from its source in the form of energy waves or energized particles. There are different forms of radiation and they have different properties and effects.
Related information in Spanish (Información relacionada en español)
On this page:
Ionizing and non-ionizing radiation
Electromagnetic spectrum
Types of ionizing radiation
Periodic Table
Non-Ionizing and Ionizing Radiation
There are two kinds of radiation: non-ionizing radiation and ionizing radiation.
Non-ionizing radiation has enough energy to move atoms in a molecule around or cause them to vibrate, but not enough to remove electrons from atoms. Examples of this kind of radiation are radio waves, visible light and microwaves.
Ionizing radiation has so much energy it can knock electrons out of atoms, a process known as ionization. Ionizing radiation can affect the atoms in living things, so it poses a health risk by damaging tissue and DNA in genes. Ionizing radiation comes from x-ray machines, cosmic particles from outer space and radioactive elements. Radioactive elements emit ionizing radiation as their atoms undergo radioactive decay.
Radioactive decay is the emission of energy in the form of ionizing radiationHelpionizing radiationRadiation with so much energy it can knock electrons out of atoms. Ionizing radiation can affect the atoms in living things, so it poses a health risk by damaging tissue and DNA in genes.. The ionizing radiation that is emitted can include alpha particles, beta particles and/or gamma raysHelpgamma raysA form of ionizing radiation that is made up of weightless packets of energy called photons. Gamma rays can pass completely through the human body; as they pass through, they can cause damage to tissue and DNA.. Radioactive decay occurs in unstable atoms called radionuclides.
Explanation:
A population of bacteria is growing according to the model P = 100 e .60t , where P is the number of colonies and t is measured in hours. After how many hours will 400 colonies be present? Round to the nearest tenth. Use LaTeX: A=pe^{rt}A = p e r t
Group of answer choices
About 2.3 hours
About 0.6 hours
About 4.6 hours
About 8.5 hours
Answer:
The answer is 2.3
Explanation:
The model for the population of bacteria is growing by
P= 100 x e^.60t
where P is the number of colonies and t is measured in hours.
Now, we need to find after how many hours will 400 colonies be present
So, Putting value of P = 400 in the above model and obtain the value of t
-> 400 = 100 x e ^.60t
-> 4 = e^.60 t
Take the natural log of ln on both sides
--> ln 4 = ln e ^.60 t
--> ln 4 = .60t
t= ln 4 / .60
T= 2.3
If 60 g of a radioactive substance naturally decays to 15 g after 16 hours, what is the half-life of the radioisotope?.
A radioactive source's half-life is 8 hours if 60 g of it drops voluntarily to 15 g in 16 hours.
What are radioisotopes, and how are their radioactivity levels determined?
The number of protons in the atomic nuclei of the constituent atoms of a given chemical is constant, whereas the number of neutrons changes. Radioisotopes are the name for an element's radioactive constituents. They can also be referred to as unstable neutron-proton pairings or atoms with too much electrical energy in their nucleus. The Contributes to the continuing (Bq), the international unit, or the Cobalt (Ci), the official machine in the United States, are used to report actual radiation levels.
Complete life divided by half.
Half-life equals 16/2
8 hours is the half-life.
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Community funding may suffer when a company receive a _________ which may mean less money to pay for public service
Answer:
Public substance abuse treatment programs have traditionally relied on three funding Such an agency may already have funding to provide services to individuals However, no such restrictions apply to payments received through manage.
Fuel-efficient cars help decrease the global dependency on nonrenewable resources because they use less _______ than other vehicles to travel the same distance.
Fuel-efficient cars help decrease the global dependency on nonrenewable resources because they use less fuel than other vehicles to travel the same distance.
What are non renewable resources?Nonrenewable resources are natural resources that cannot be readily replaced or regenerated, such as fossil fuels (coal, oil, and natural gas), minerals, and some metals. These resources are finite and once they are used they cannot be replenished. They are formed over millions of years and are essential for the functioning of modern society, but their extraction and use can have negative impacts on the environment.
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consider the electrolytic cell: label the anode and the cathode and indicate the half-reactions occurring at each. indicate the direction of electron flow. label the terminals on the battery as positive or negative and calculate the minimum voltage necessary to drive the reaction.
The half-reaction at the anode can be written as:
Anode (oxidation): A → A⁺ + e⁻
And the half-reaction at the cathode can be written as:
Cathode (reduction): B⁺ + e⁻ → B
The cell potential (Ecell) can be calculated using the formula:
Ecell = Ecathode - Eanode= Minimum voltage
In the given electrolytic cell, the anode is the electrode where oxidation occurs and the cathode is the electrode where reduction occurs. The half-reaction at the anode is the oxidation of the anode material, and the half-reaction at the cathode is the reduction of the cathode material.The direction of electron flow is from the anode to the cathode. The anode is negatively charged as electrons are released during oxidation, while the cathode is positively charged as it accepts electrons during reduction.The terminals on the battery are labeled as positive and negative. The positive terminal is connected to the cathode, and the negative terminal is connected to the anode.
To calculate the minimum voltage necessary to drive the reaction, we need to determine the difference in potential between the anode and cathode. This potential difference is known as the cell voltage or electromotive force (EMF). The EMF is equal to the difference in the standard electrode potentials of the half-reactions occurring at the anode and cathode.Once we have the EMF, we can calculate the minimum voltage necessary to drive the reaction using the equation:
minimum voltage = EMF + (overpotential at anode) + (overpotential at cathode)
where the overpotential at the anode and cathode is the additional voltage required to overcome activation energy barriers and losses due to resistance.
In an electrolytic cell, the anode is the electrode where oxidation occurs, and the cathode is the electrode where reduction occurs. Half-reactions at each electrode represent the individual processes of oxidation and reduction.
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sand is a particulate in nature
Answer:
\(\color{Blue}\huge\boxed{Answer} \)
Sand is a granular material composed of finely divided rock and mineral particles. Sand has various compositions but is defined by its grain size. Sand grains are smaller than gravel and coarser than silt.
Determine the energy of a photon whose frequency is 5.55 × 1017 Hz.
Answer in units of J.
Espero que esos ejercicios y esas fórmulas te ayuden
In the molecular formula 4Al(OH)₃ - the number "4" is the ___________ and it tells you_______
1.Coefficient; how many atoms of aluminum there are
2.Coefficient; how many molecules of Aluminum hydroxide there are
3.Subscript; how many atoms of aluminum there are
4.Subscript; how many molecules of aluminum hydroxide there ar
Answer:
2.coefficient how many molecules of Aluminum hydroxide there are
a(n) ________ uses steam and pressure, dry heat, dry gas, or radiation for sterilization.
Sterilization can be achieved using various methods, including steam and pressure, dry heat, dry gas, or radiation. It is a crucial process used to eliminate all forms of microbial life from objects or surfaces.
Sterilization is a crucial process used to eliminate all forms of microbial life from objects or surfaces. One method of sterilization involves using steam and pressure. This technique, known as autoclaving, utilizes high-pressure steam to kill microorganisms effectively. Autoclaves are widely used in medical facilities, laboratories, and other industries where sterile conditions are necessary.
Another method of sterilization is through the use of dry heat. This process involves subjecting the objects to high temperatures for a specified duration to destroy microorganisms. Dry heat sterilization is commonly used for heat-resistant equipment, such as glassware and metal instruments.
Dry gas sterilization is another technique used to achieve sterility. It involves using sterilizing gases like ethylene oxide or hydrogen peroxide vapor to eliminate microorganisms. This method is often employed for sensitive materials or equipment that cannot withstand high temperatures or moisture.
Lastly, radiation sterilization utilizes ionizing radiation, such as gamma rays or electron beams, to kill microorganisms. This technique is commonly used for disposable medical supplies, pharmaceutical products, and certain types of food.
In conclusion, sterilization can be achieved using various methods, including steam and pressure (autoclaving), dry heat, dry gas, or radiation. Each method has its advantages and is chosen based on the nature of the materials being sterilized and the desired level of sterility.
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Which atoms are most common in our sun????
Answer:
HOPE THIS HELPS
Helium and Hydrogen
Explanation:
Hydrogen and helium: they are by far the most abundant elements found in the Sun, making up about 98 percent of its mass, but other, heavier elements play an important role in the physical processes that occur in the Sun.
Write the molecular formulae of the following compounds.
нн н н
Н Н
н-с-с-с-н
нн
Н
I
н-с-н
H
н-с-с-с-н
О-ІІ
І-
0-І І
О-І
н-с-н
-CIH
н-с-н
H-c-c
Н
H H
-с-с-н
Н
н-с-нн-с-н
I
Н
Answer:
the answer base on my test or experiment is H2O(water)
Feel the heat Part 2: Why does the temperature change when a powder is dissolved in water
When a powder is dissolved in water, it changes the temperature because the chemical reaction that occurs between the particles of the solute and the solvent when they mix. The heat energy that is released or absorbed when two particles come together is known as enthalpy of solution.
In order to understand the temperature change in detail, we need to look at the two types of enthalpies that are involved when a powder is dissolved in water.
The first type is called the lattice enthalpy which is the energy that is needed to break the bonds between the particles in the solid. The second type is the hydration enthalpy which is the energy that is released when the particles of the solute are surrounded by the solvent particles.
When a powder is dissolved in water, the lattice enthalpy is broken and the particles of the solute are dispersed throughout the solvent. This requires energy, so the temperature of the solution decreases. Then the solvent particles surround the particles of the solute and release energy, so the temperature of the solution increases. The overall temperature change depends on the difference between the lattice enthalpy and the hydration enthalpy.
When a powder is dissolved in water, it changes the temperature because of the chemical reaction that occurs between the particles of the solute and the solvent when they mix. When two particles come together, the heat energy that is released or absorbed is known as enthalpy of solution. There are two types of enthalpies involved when a powder is dissolved in water.
The first type is lattice enthalpy, which is the energy that is needed to break the bonds between the particles in the solid. The second type is hydration enthalpy, which is the energy that is released when the particles of the solute are surrounded by the solvent particles.
When a powder is dissolved in water, the lattice enthalpy is broken, and the particles of the solute are dispersed throughout the solvent. This requires energy, so the temperature of the solution decreases. Then, the solvent particles surround the particles of the solute and release energy, so the temperature of the solution increases. The overall temperature change depends on the difference between the lattice enthalpy and the hydration enthalpy.
If the lattice enthalpy is higher than the hydration enthalpy, the solution will be cold because more energy is required to break the bonds in the solid than is released when the particles are surrounded by solvent particles. Conversely, if the hydration enthalpy is higher than the lattice enthalpy, the solution will be hot because more energy is released when the particles are surrounded by solvent particles than is required to break the bonds in the solid.
When a powder is dissolved in water, the temperature of the solution changes because of the chemical reaction between the particles of the solute and the solvent when they mix. The overall temperature change depends on the difference between the lattice enthalpy and the hydration enthalpy. If the lattice enthalpy is higher than the hydration enthalpy, the solution will be cold, and if the hydration enthalpy is higher than the lattice enthalpy, the solution will be hot.
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what is the ph of a 0.27 m hcl solution? report your answer with two significant figures.
The pH of a 0.27 M HCl solution is approximately 0.57.
pH is a numerical indicator of how acidic or basic aqueous or other liquid solutions are. The word translates the values of the hydrogen ion concentration and is used frequently in chemistry, biology, and agronomy.
To calculate the pH of a 0.27 M HCl solution, follow these steps:
1. Understand that HCl is a strong acid, which means it completely dissociates in water to form H+ and Cl- ions.
2. The concentration of H+ ions in the solution is equal to the concentration of HCl, which is 0.27 M.
3. Use the pH formula: pH = -log10[H+], where [H+] is the concentration of H+ ions.
4. Substitute the concentration: pH = -log10(0.27).
5. Calculate the pH value: pH ≈ 0.57.
So, the pH of a 0.27 M HCl solution is approximately 0.57.
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What is the significance of the fact that chromosomes condense before they are moved.
Answer:
It allows for easier division of the sister chromatids into two identical chromosomes, one for each cell, and helps to prevent mistakes. You just studied 2 terms!
Explanation:
Given the following balanced equation, determine the rate of reaction with respect to [NH3]. N2(g) + 3 H2(g) → 2 NH3(g)
a. Rate = - 1/3 Δ[H2] / Δt
b. Rate = - 3 Δ[H2] / Δt
c. Rate = + 1/3 Δ[H2] / Δt
d. Rate = +3 Δ[H2] / Δt
The rate of reaction with respect to H2 is given by: rate = - 1/3 Δ[H2] / ΔtSo, the correct option is a. Rate = - 1/3 Δ[H2] / Δt
The balanced equation given is:N2(g) + 3 H2(g) → 2 NH3(g)The rate of reaction with respect to [NH3] is calculated using the formula:
rate = Δ[NH3] / Δt
Here,
there is no NH3 on the reactant side.
Therefore,
we cannot use this formula to find the rate of reaction with respect to NH3.
However,
we can use the stoichiometric relationship between H2 and NH3 to calculate the rate of reaction with respect to H2. Here, the stoichiometric coefficient of H2 is 3,
which means that for every 3 moles of H2 reacted, 2 moles of NH3 is formed.
Therefore, the rate of reaction with respect to H2 is given by:
rate = - 1/3 Δ[H2] / Δt
So, the correct option is a. Rate = - 1/3 Δ[H2] / Δt.
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Lithium has an atomic number of 3 and an average atomic mass of 6.941. how many protons does lithium have in the nucleus? 3 3 4 4 6 6 10
Lithium has 3 protons in the nucleus.
Atomic number is the number of protons or the number of electrons in the nucleus of a neutral atom.Mass number is the sum of the protons as well as the neutrons in the nucleus of an atom. ( sum of neutrons and protons = nucleons)Atomic number =number of protons =number of electrons
According to the question,
we have been given atomic number= 3
So, number of protons will be 3 and number of electrons will also be 3.
We can additionally calculate number of neutrons as follows-
number of neutrons= mass number - number of protons
= 6.941 - 3
≈ 4
Hence, the number of protons in lithium will be 3.
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The nucleus of Lithium has three protons.
The number of protons or electrons in the nucleus of a neutral atom is known as its Atomic number.
The total mass of an atom's protons and neutrons is known as its mass number. (neutrons and protons added together Equals nucleons)
Atomic mass= Mass number + Neutrons
Atomic number equals the sum of the protons and electrons
Since, atomic number given is 3
Therefore, protons in the nucleus will be 3.
Additionally, we may determine the neutron number using the formula below.
mass number = number of neutrons + number of protons
⇒ 6.941 = number of neutrons + 3
⇒ number of neutrons will be approximately 4.
Thus, lithium will contain three protons.
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What is in with those numbers? H2O?
Answer:
hydrogen atom and oxygen atom
what volume of N2 is required to convert 5.0L of hydrogen gas to ammonia? assume that all gases are at the same temperature and pressure and that the reaction is complete
Answer:
Approximately \(1.7\; {\rm L}\).
Explanation:
Nitrogen \({\rm N_{2}}\, (g)\) reacts with hydrogen \({\rm H_{2}}\, (g)\) at a \(1:3\) ratio to produce ammonia \({\rm NH_3}\, (g)\):
\({\rm N_{2}}\, (g) + 3\; {\rm H_{2}}\, (g) \to 2\; {\rm NH_{3}}\, (g)\).
The ratio between the coefficient of \({\rm N_{2}}\, (g)\) and the coefficient of \({\rm H_{2}}\, (g)\) is:
\(\begin{aligned}\frac{n({\rm N_{2}})}{n({\rm H_{2}})} = \frac{1}{3}\end{aligned}\).
Under the ideal gas assumptions, the same ratio would apply to the volume of \({\rm N_{2}}\, (g)\) and \({\rm H_{2}}\, (g)\) in this reaction:
\(\begin{aligned}\frac{V({\rm N_{2}})}{V({\rm H_{2}})} = \frac{n({\rm N_{2}})}{n({\rm H_{2}})} = \frac{1}{3}\end{aligned}\).
\(\begin{aligned}V({\rm N_{2}})= \frac{1}{3}\, V({\rm H_{2}})\end{aligned}\).
Given that \(V({\rm H_{2}}) = 5.0\; {\rm L}\):
\(\begin{aligned}V({\rm N_{2}}) &= \frac{1}{3}\, V({\rm H_{2}}) \\ &= \frac{1}{3}\times 5.0\; {\rm L} \\ &\approx 1.7\; {\rm L}\end{aligned}\).
(Rounded to \(2\) significant figures.)