Answer:
The sum of all the charges should equal the charge on the ion.
Answer:The overall charge for the ionic compound must be neutral, which means the sum of the charges from the cations and anions should add up to zero
Explanation:
Give the volume indicated. Be sure to include all significant figures.
Options:
3.22
3.2
3.3
3.35
___mL
Answer: 3.22
Explanation: it did not go above the 3rd line instead it stayed about 2 or 3 cm below.
Answer:
3.22 mL
Explanation:
To see the volume indicated you have to look at the center of the tube, not at the region near the glass of the cylinder. It's clear from the picture that the level is slightly above 3.2 and less than 3.3, so the answer is 3.22 mL
An element is a _____ substance represents by a ______ symbol. Chemical symbols have ___ or ___ letters. The first letter of a chemical symbol is always a ______ letter and the second letter is always a ______ letter.
Answer:
Explanation:
An element is a _distinct____ substance represented by a __chemical____ symbol. Chemical symbols have _one__ or _two__ letters. The first letter of a chemical symbol is always a _Capital_____ letter and the second letter is always a _small_____ letter.
Elements are distint substances that cannot be split up into simpler substances. Such substances are made up of one kind of atom. Each of them is usually symbolised by a capital letter or a capital letter followed by a small letter derieved from the English or latin or greek name of the element.
An element is a chemical substance that cannot be divided or changed into other chemical substances. Chemical symbols are one- or two-letter designations of elements, with the first letter always capitalized and the second letter (if present) in lowercase. Symbols may be based on English or Latin names.
Explanation:An element is a chemical substance that can't be divided or changed into other chemi-cal substances by any ordinary chemical means. The smallest unit of an element is the atom.
A chemical symbol is a one- or two-letter designation of an element. Some examples of chemical symbols are O for oxygen, Zn for zinc, and Fe for iron. The first letter of a symbol is always capitalized. If the symbol contains two letters, the second letter is lower case. The majority of elements have symbols that are based on their English names. However, some of the elements that have been known since ancient times have maintained symbols that are based on their Latin names, as shown in Table 4.5.2.
Each element is designated by its chemical symbol, which is a single capital letter or, when the first letter is already “taken” by another element, a combination of two letters. Some elements follow the English term for the element, such as C for carbon and Ca for calcium. Other elements' chemical symbols derive from their Latin names; for example, the symbol for sodium is Na, referring to natrium, the Latin word for sodium.
Momentum is dictated by a P instead of an M.A football player is running down the field weight 90Kg he is running 11.1 m/s what is this momentum
Answer:
The momentum is 999 Kg.m/s.
Explanation:
Momentum:
It is the product of mass and velocity of moving object.
Formula:
P = m . v
P = momentum
m = mass
v = velocity
Unit:
Its unit is Kg. m/ s.
Given data:
mass = 90 Kg
velocity = 11.1 m/s
Solution:
p = m.v
p = 90 Kg × 11.1 m/s
p = 999 Kg.m/s
calculate the mass of one atom of nitrogen.
Answer:
For instance look at N (Nitrogen), you will see the atomic mass is 14.00674 grams. So that means if you had 1 mole of nitrogen atoms, it would weight, 14.00674 grams. Now we have to get what fraction of a mole you have. To start, you need know that all a mole means is you have 6.022 x 1023 atoms of that type.
HOPE THIS HELPED!!!!!!!!!!!!!!!!XDDDDDDDD
The mass of one atom of nitrogen is approximately 2.325 × 10⁻²⁶ kg.
To calculate the mass of one atom of nitrogen, we need the atomic mass and Avogadro's number. The atomic mass of nitrogen (N) is approximately 14.01 atomic mass units (amu).
First, convert the atomic mass to kilograms:
14.01 amu × 1.66053906660 × 10⁻²⁷ kg/amu = 2.325 × 10⁻²⁶ kg
Next, we use Avogadro's number to find the mass of one mole of nitrogen atoms. Avogadro's number is 6.022 × 10²³ atoms/mol.
Mass of one mole of nitrogen atoms = 14.01 g/mol
Convert grams to kilograms for consistency:
14.01 g/mol × 10⁻³ kg/g = 0.01401 kg/mol
The mass of one nitrogen atom is then:
0.01401 kg/mol ÷ 6.022 × 10²³ atoms/mol ≈ 2.325 × 10⁻²⁶ kg/atom
Thus, the mass of one nitrogen atom is approximately 2.325 × 10⁻²⁶ kg.
All atoms of the element potassium have 19 protons. One of the most stable types of potassium atoms has the mass number 39.
Answer:
The correct answer for the given question is 20 neutrons.
Explanation:
As we know most of the elements have their isotopes present so the metal in the periodic table that has atomic number 19 and is named potassium has two stable isotopes.
One of the stable isotope is 39 and the other one is 41. The isotope of potassium that has atomic number 39 has the same number of Electrons and protons number of neutrons present in this isotope is 20.
what is the density of an 820 g sample of pure silicon occupying a 350 cm3 container
Answer:
2.343 g/ cm³
Explanation:
Density:
Density is equal to the mass of substance divided by its volume.
Units:
SI unit of density is Kg/m3.
Other units are given below,
g/cm3, g/mL , kg/L
Formula:
D=m/v
D= density
m=mass
V=volume
Symbol:
The symbol used for density is called rho. It is represented by ρ. However letter D can also be used to represent the density.
Given data:
density = ?
volume= 350 cm³
mass= 820 g
Now we will put the values in the formula,
d= m/v
d= 820 g/ 350 cm³
d= 2.343 g/ cm³
The density of silicon is 2.343 g/ cm³
The density of a sample of pure silicon, given its mass is 820 grams and its volume is 350 cm^3, is calculated by dividing mass by volume. Using this formula, the density of the silicon sample is approximately 2.34 g/cm^3.
Explanation:The subject of your question falls under Physics and it is about the concept of density. More specifically, you are asking about the density of a sample of pure silicon. Density is defined as the mass of an object divided by its volume which is usually measured in grams per cubic centimeter (g/cm3). Given that the mass of the silicon sample is 820 grams and its volume is 350 cm3, we can calculate the density using the following formula for density:
Density = Mass / Volume
In this case, Density = 820g / 350cm3. So, the density of the silicon sample is approximately 2.34 g/cm3.
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The bottom number on each element on the Periodic Table is called
Answer:
The bottom number on each element of the periodic table are called the 4f series or lanthanoids and 5f or actanoids. They are also called inner transition elements.
Does anyone know how to do this?
C3H5N3O9 contains 100.00g of carbon, calculate the mass of the molecule
I suppose that the question ask the following:
What is the mass of a sample, composed of C₃H₅N₃O₉ molecule, that contains 100 g carbon?
First we calculate the molecular mass of our molecule C₃H₅N₃O₉.
molecular mass = 12 × 3 + 1 × 5 + 14 × 3 + 16 × 9 = 227 g/mol
Now we devise the following reasoning:
if 227 g of our molecule contains 27 g of carbon
then X g of our molecule contains 100 g carbon
X = (100 × 227) / 27 = 840.7 g
Choose all the answers that apply. Light _____. slows down when traveling through more dense substances does not require a medium to travel through can be absorbed and transformed into heat speeds up when traveling through less dense substances is refracted when it changes direction and speed travels in longitudinal waves
Light slows down when traveling through more dense substances; does not require a medium to travel through; can be absorbed and transformed into heat; speeds up when traveling through less dense substances; is refracted when it changes direction and speed.
What is are the properties of light waves?Light wave is a form of electromagnetic wave which enables us to see.
It is a form of transverse wave form.
Some of the properties of light wave include:
it travels in straight linesit can be reflectedit can be refractedit can be polarizedTherefore, the correct options are, Light slows down when traveling through more dense substances; does not require a medium to travel through; can be absorbed and transformed into heat; speeds up when traveling through less dense substances; is refracted when it changes direction and speed.
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Light slows down when traveling through more dense substances; does not require a medium to travel through; can be absorbed and transformed into heat; speeds up when traveling through less dense substances; is refracted when it changes direction and speed.
What is are the properties of light waves?Light wave is a form of electromagnetic wave which enables us to see.
It is a form of transverse wave.
Some of the properties of light wave include:
it travels in straight linesit can be reflectedit can be refractedit can be polarizedTherefore, the correct options are,
Light slows down when traveling through more dense substances does not require a medium to travel throughcan be absorbed and transformed into heat speeds up when traveling through less dense substances is refracted when it changes direction and speed.Learn more light waves Here ;
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Which of the following statements is true?
The scientific method is based on personal judgment.
Every Thursday Patrick eats pizza. This is a cause and effect relationship.
A false hypothesis means there is something wrong with the experiment.
Sharing an experiment with a friend is a great way to communicate results.
Answer:
the correct answer is D
Explanation:
D is correct because it is true and is also used to share experiments with other scientists around the world
Why do some transition metals have multiple oxidation states? Transition metals have multiple oxidation states because of their sublevel.
Answer:
because it contain 5 d-orbitals.
Explanation:
unlike alkali and alkaline earth metals, transition metals have 5d-orbitals. electrons are around the nucleus some are away and some are close to it. Electrons change their energy levels at suitable conditions and as transition metals having 5-d orbitals so its electrons can easily goes to other transition state thus causing multiple oxidation states.
Answer:
partially filled d sublevels
Explanation:
What is the name and symbol of the element in the second row and fourteenth column of the periodic
table?
O aluminum (AI)
carbon (C)
silicon (Si)
cobalt (Co)
Answer:
Carbon (c) !!!! :)))))
Carbon (C) is the name and symbol of the element in the second row and fourteenth column of the periodic table , therefore option (b) is correct.
What do you mean the columns in periodic table ?The columns on the periodic table of elements are called groups. The elements in a group share the same configuration of valence electrons, which gives the elements similar chemical properties.
Properties of carbon element-
Carbon makes 4 electrons to form a covalent bondCarbon is highly unreactive under conditions that are normal.This chemical element is represented with the symbol C.It contains 6 protons in the nucleus and thus has the atomic number 6.Carbon (C) is the name and symbol of the element in the second row and fourteenth column of the periodic table , hence option (b) is correct among all.
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Which of the following is the best example of a hypothesis?
Glass breaks when you throw a rock at it.
If three or more pounds of pressure is placed on glass, then it will break.
If I push hard on glass it will break.
When glass breaks it is because something was thrown at it.
Answer:
If three or more pounds of pressure is placed on glass, then it will break.
Explanation:
This is a hypothesis because it is a statement that can be tested and can be drawn a conclusion from, as you can see the others can be tested but then you have too many factors that are not taken care of, for example how big will the rock you throw to the glass be, glasses cna break because of changes in temperature, and other factors that weren´t taken into account when doing them that the only one that could work as a hypothesis would be: If three or more pounds of pressure is placed on glass, then it will break.
Final answer:
The best example of a hypothesis is "If three or more pounds of pressure is placed on glass, then it will break," as it is clear, specific, and testable.
Explanation:
The best example of a hypothesis among the given options is: "If three or more pounds of pressure is placed on glass, then it will break." This statement is a good hypothesis because it is testable, provides a specific condition (three or more pounds of pressure), and predicts a measurable outcome (the glass will break). A testable hypothesis is a crucial aspect of the scientific method.
It allows researchers to perform experiments to verify whether the predicted outcomes agree with the hypothesis or not. The process of testing is essential because it provides evidence to support or refute the proposed explanation. Furthermore, an effective hypothesis should ideally be clear and concise, providing a direct answer to a particular question, and should outline conditions that can be empirically examined.
Hydrogen has three naturally occurring isotopes which figure into the average atomic mass found on the periodic table. (1.00974) : hydrogen -1, hydrogen -2, and hydrogen -3. How do hydrogen -1, hydrogen -2, and hydrogen -3 differ from each other? Which would you guess is most abundant? Explain your answer.
PLEASE HELP ME!!!,! ITS FOR AN IMPORTANT LAB
Answer:
H 1 one proton and no neutrons, H2 one proton and one neutron, H3 one proton and 2 neutrons.
H1 most abundant because average mass is 1.008, meaning far more have a mass of 1
Explanation:
I have no idea how to get to the correct answer, please help, chem is hard
Answer:
68027 cells
Explanation:
First they need to be in the same units.
To convert 0.0147mm^3 into cm^3, divide by 1000
This gives 0.0000147cm^3
Next, divide 1 cm^3 by 0.0000147 cm^3
[tex] \frac{1}{0.0000147} [/tex]
=68027.2108844
= 68027 cells
Answer:
68027 cells
Explanation:
If both the first and second shells of an atom are full, what is the total number of electrons present in that atom?
Answer:
10
Explanation:
the capacity for each shell for the first 20 elements can be given by
2.8.8.2
2 electrons in the first shell
8 in the 2nd and in the 3rd
and 2 in the 4th
so if both the first and 2nd shells are full,
2+8=10 electrons
Answer:
10 is the total number of electrons present in that atom.
Explanation:
The formula for total number of electron in nth shell is given by :[tex]2n^2[/tex]
First shell = 1
Number of electron in first shell,n = 1:
= [tex]2(1)^2= 2[/tex]
Number of electron in first shell,n = 2:
= [tex]2(2)^2= 8[/tex]
Total number of electrons in the atom with full first shell and second shell:
2 + 8 = 10
what is the square root of a negative number
Answer:
Negative numbers don't have real square roots since a square is either positive or 0.
Explanation:
Negative numbers don't have real square roots since a square is either positive or 0.
It depends, but this is how I would do it:
Let's take the square root of -8 --> [tex]\sqrt{-8}[/tex]
First, I would take out an "i" and put it outside of the square root:
[tex]i\sqrt{8}[/tex]
The i represents the negative sign. Then, I would treat the square root of 8 as a normal problem and simplify by factoring it:
Factors of 8: 2,2,2
Because you're looking for a square root and you can "loop" two 2s together, you can take one set out:
[tex]2i\sqrt{2}[/tex] would be your final answer.
Hope I helped :)
Which of the following best explains the position of the two atoms in the periodic table? (4 points)
Atoms in the periodic table are positioned based on their chemical properties and electron configuration. Elements with the same number of valence electrons are placed in the same group. The periodic table is read left to right and top to bottom, with elements arranged in order of increasing atomic number.
Explanation:The position of two atoms in the periodic table can be explained based on their chemical properties and electron configuration. Atoms that have the same number of valence electrons, or electrons in their outermost energy level, are placed in the same group. For example, lithium (Li) and sodium (Na) are both in Group 1 because they each have one valence electron. The periodic table is read left to right and top to bottom, with elements arranged in order of increasing atomic number. The atomic number represents the number of protons in an atom's nucleus.
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Is whipping eggs a chemical change or a physical change
Helppp!!!! plz :-((
C: They should try to reproduce Dr. Maxwell's research to verify his results
Why?
Other scientists may or may not agree to Dr. Maxwell, so they should test Dr. Maxwell's research again to see if his conclusion is true or not.
Hope this helps!
The pOH of a solution is 10.75. What is the concentration of OH ions in the solution?
Use [OH-10 POH
3.162 x 10-108 M
1.778 x 10-11 M
1.075 x 102 M
5.623 x 1010 M
Answer:
hope this helps
Explanation:
Answer: The hydroxide ion concentration in the solution is [tex]1.778\times 10^{-11}M[/tex]
Explanation:
pOH is defined as the negative logarithm of hydroxide ion concentration present in the solution.
The equation used to calculate pOH of the solution is:
[tex]pOH=-\log[OH^-][/tex]
We are given:
pOH = 10.75
Putting values in above equation, we get:
[tex]10.75=-\log[OH^-][/tex]
[tex][OH^-]=10^{-10.75}=1.778\times 10^{-11}M[/tex]
Hence, the hydroxide ion concentration in the solution is [tex]1.778\times 10^{-11}M[/tex]
Which components are part of all scientific investigations? Check all that apply.
scientific question
hypothesis
variables
control
procedure
conclusion
Final answer:
The components that are a part of all scientific investigations include a scientific question, hypothesis, variables, control, procedure, and conclusion. These align with the scientific method and are essential in conducting a thorough and systematic inquiry.
Explanation:
The components that are part of all scientific investigations include several elements that align with the scientific method. These are essential for ensuring a systematic approach to the inquiry process. Let's review these components:
Scientific question: This is the starting point of any scientific inquiry, where the observer asks a question about the phenomena of interest.Hypothesis: A hypothesis is an educated guess or a proposed explanation made on the basis of limited evidence, which serves as a starting point for further investigation.Variables: These are elements of the experiment that can be changed or controlled, including independent variables (which are manipulated) and dependent variables (the response to the manipulation).Control: In scientific experiments, a control is a standard of comparison for checking or verifying the results of an experiment.Procedure: This is the step-by-step plan for the experiment, detailing how the hypothesis will be tested.Conclusion: This summarizes the results of the experiment and states whether the hypothesis was supported or not.By following these components, scientists conduct thorough and replicable experiments that contribute to the body of scientific knowledge. Each step is crucial in ensuring results are reliable and valid.
Final answer:
The components of all scientific investigations include a scientific question, a hypothesis, variables, control, procedure, and a conclusion. These elements structure the investigation for consistency and repeatability.
Explanation:
The components that are part of all scientific investigations typically include:
A scientific question which the investigation seeks to answer.A hypothesis, which is a testable prediction made before conducting the experiment.Variables, which include independent variables (that you change), dependent variables (that you observe), and controlled variables (that you keep the same).A control, which is the standard that you compare with the outcomes of the experiment.A procedure, which outlines the steps taken during the experiment.A conclusion, which reflects whether the hypothesis was supported or not based on the experiment's findings.These elements help in structuring a scientific investigation, allowing for repeatability and verifiability by other scientists.
Why it is important for steel to go through a fluid phase as it is being produced
Final answer:
Steel production requires a fluid phase to allow the removal of impurities and the addition of alloying elements, producing steel with specific properties including enhanced strength and durability. The introduction of processes like the Bessemer and open-hearth methods facilitated cheaper and more efficient steelmaking. Controlled diffusion of carbon and other elements during the fluid phase is crucial to achieving the desired qualities of steel.
Explanation:
Steel production is a critical process in industrial manufacturing, transforming wrought iron into steel with superior strength and durability. Steel goes through a fluid phase during production because this allows for the removal of impurities and the integration of essential alloying elements. The Bessemer process and the open-hearth process both revolutionized steelmaking, enabling production at higher temperatures and larger quantities, thus reducing costs and facilitating widespread industrial use.
During the fluid phase, controlled amounts of carbon and other elements such as manganese, chromium, nickel, tungsten, molybdenum, and vanadium are added to create various steel alloys tailored for specific applications. The presence of carbon is particularly crucial; if not carefully managed, excess carbon can make steel brittle.
Diffusion plays an essential role in this process, particularly in carburizing, which increases the surface hardness of iron by allowing carbon to diffuse into it at high temperatures, turning it into hardened steel. This phase is vital for achieving the correct balance of mechanical properties required for steel's various industrial uses.
What is the specific heat (J/g C)of a metal who’s temp increases by 3.0 C when 17.5 g of metal was heated with 38.5 J
Answer:
0.733 J/g °C
Explanation:
Step 1 : Write formule of specific heat
Q = mc Δ T
with Q = heat transfer (J)
with m = mass of the substance
with c = specific heat ⇒ depends on material and phase ( J/g °C)
Δ T = Change in temperature
in this case :
Q = 38.5 J
m = 17.5g
c= has to be determined
Δ T = 3 (°C)
Step 2: Calculating specific heat
⇒ via the formule Q = mc Δ T
38.5 J = 17.5g * c * 3
38.5 = 52.5 *c
c = 38.5 / 52.5
c = 0.733 J/g °C ⇒ 0.733 is reported to three significant digits due to the precision.
The specific heat of this metal is 0.733 J/g °C
Which fields of science do you think might use data tables and graphs more than others
Answer:
Statistics
Explanation:
The science of statistics deals with the collection, storage, manipulation, analyzing, visualizing and interpretation of data. Graphs and tables are very good tools in order to achieve statistical problems. Tables can be used to compare a given data set and present them in a very simple relational way. Graphs are useful for data visualization and their trend is vital in making interpretations.
3. Which state of matter takes both the shape and volume of its container?
Answer:
In gaseous form matter take the shape and volume of container.
Explanation:
Properties of gases:
Molecule of gases randomly move every where and occupy all available space.
Gases don't have definite volume and shape and take the shape and volume of container in which it present.
Their densities are very low as compared to the liquid and solids.
Gas molecules are at long distance from each other therefore by applying pressure gases can be compressed.
The very weak inter molecular forces are present between gas molecules.
Properties of Liquid:
Liquid have definite volume but don,t have definite shape.
Their densities are high as compared to the gases but low as compared to the solids.
In liquid, molecules are close to each other and have greater inter molecular forces as compared to the gas molecules.
Properties of solids:
Solids have definite volume and shape.
In solids molecules are tightly pack and very close to each other.
Their melting and boiling point are every high.
The densities of solids are also very high as compared to the liquid and gas.
There are very strong inter molecular forces are present between solid molecules.
ASAP Making a mixture is a _______ change and, therefore, mixtures can be separated by _______ means.
chemical, chemical
physical, chemical
chemical, physical
physical, physical
Making a mixture is a physical change and, therefore, mixtures can be separated by physical means.
Answer: Option D
Explanation:
Mixtures are combination of two or more substances irrespective of their state of matter. The mixtures can be classified as solution, suspension and colloids. In mixtures , the combining substances will retain their chemical properties, they will combine only physically and not chemically.
So the chemical properties of the mixture will be the chemical properties of each of its constituent. As mixtures form by physical change of the combining substances, they can be separated by physical means only like distillation, evaporation etc.
Thus, making a mixture can be physically changed and therefore mixtures can be separated by physical means.
The blank variable in an investigation is the variable that changes in response to changes in the investigation
Answer:
Dependent
Explanation:
It is called that because its value depends on changes the investigator makes.
Having molecules that are very close together
Answer:
Solid Molecules
Solid molecules are always together. If you need more help I'm here.
Answer:in solids the molecules are very close together with intermolecar spaces.
Explanation:
When an object floats in water, it displaces a volume of water that has a weight equal to the weight of the object. If a ship has a
weight of 4795 tons, how many cubic feet of seawater will it displace? Seawater has a density of 1.025 g.cm3; 1 ton = 2000 lb.
(Enter your answer in scientific notation.)
Answer:
[tex]\boxed{1.574 \times 10^{5}\text{ ft}^{3}}[/tex]
Explanation:
1. Mass of ship in pounds
[tex]m = \text{4795 t} \times \dfrac{\text{2000 lb}}{\text{1 t}} = 9.590 \times 10^{6}\text{ lb}[/tex]
2. Mass of ship in kilograms
[tex]m = 9.590 \times 10^{6}\text{ lb} \times \dfrac{\text{1 kg}}{\text{2.205 lb}} = 4.349 \times 10^{6}\text{ kg}[/tex]
3. Mass of ship in grams
[tex]m = 4.349 \times 10^{6}\text{ kg} \times \dfrac{\text{1000 g}}{\text{1 kg}} = 4.349 \times 10^{9}\text{ g}[/tex]
4. Volume of water displaced
[tex]V = 4.349 \times 10^{9}\text{ g} \times \dfrac{\text{ 1.025 cm}^{3}}{\text{1 g}} = 4.458 \times 10^{9}\text{ cm}^{3}[/tex]
5. Volume of water in litres
[tex]V = 4.458 \times 10^{9}\text{ cm}^{3} \times \dfrac{\text{ 1L}}{\text{1000 cm}^{3}}= 4.458 \times 10^{6}\text{ L}[/tex]
6. Volume of water in cubic feet
[tex]V = 4.458 \times 10^{6}\text{ L} \times \dfrac{\text{ 1 ft}^{3}}{\text{28.32 L}}= \mathbf{1.574 \times 10^{5}}\textbf{ ft}\mathbf{^{3}}\\\\\text{The ship will displace } \boxed{\mathbf{1.574 \times 10^{5}}\textbf{ ft}\mathbf{^{3}}} \text{ of seawater}[/tex]
Final answer:
When an object floats in water, it displaces a volume of water equal to its weight. To find the volume of seawater displaced by a ship weighing 4795 tons, convert the weight to pounds and calculate the volume using the density of seawater. The ship will displace approximately 149,701 cubic feet of seawater.
Explanation:
When an object floats in water, it displaces a volume of water that has a weight equal to the weight of the object. To find the volume of seawater displaced by a ship with a weight of 4795 tons, we need to convert the weight to pounds and then calculate the volume using the density of seawater.
1 ton is equal to 2000 pounds, so the weight of the ship in pounds is 4795 tons * 2000 pounds/ton = 9,590,000 pounds.
The volume of seawater displaced is equal to the weight of the ship divided by the density of seawater. The density of seawater is 1.025 g/cm³, which is equivalent to 64.027 pounds per cubic foot.
So the volume of seawater displaced by the ship is 9,590,000 pounds / 64.027 pounds per cubic foot = 149,701 cubic feet.