Answer:
D. 48 N down
Explanation:
Given that:
Mass of climber = 85 kg, Tension on rope = 785 N, acceleration due to gravity = 9.8 m/s²
To calculate the net force on the climber, we need to first calculate the weight of the climber. Since the climber is affected by the earth gravity, the weight of the climber is the product of his mass and the acceleration due to gravity, therefore:
Weight = mass × acceleration due to gravity = 85 kg × 9.8 m/s² = 833 N
The weight of the climber is acting downwards while tension on the rope is acting upwards, therefore:
Net force on the climber = 785 N - 833 N = - 48 N
This means that the net force on the climber is 48 N downwards
Answer:
48 N down
Explanation:
Ayepecks
Where are electrons found in the atom?
O A. Within the isotopes of the atom
O B. Within the nucleus of the atom
O C. All at the same distance from the nucleus
O D. At different distances from the nucleus
Answer:
D. At different distances from the nucleus
Explanation:
Electrons are found outside the nucleus on electron shells.
These electron shells extend outwards from the nucleus, so the electrons are found at different distances further away from the nucleus if they are on different electron shells.
Consider a gas in a container that can adjust its volume to maintain constant pressure. Suppose the gas is cooled. What happens to the gas particles with the decrease in temperature? What happens to the volume of the container?
Answer:
The volume will also decrease.
Explanation:
This illustration clearly indicates Boyle's law.
Boyle's law states that the volume of a fixed mass of gas is directly proportional to the absolute temperature, provided the pressure remains constant. Mathematically, it is represented as:
V & T
V = KT
K = V/T
V1/T1 = V2/T2 =... = Vn/Tn
Where:
T1 and T2 are the initial and final temperature respectively, measured in Kelvin.
V1 and V2 are the initial and final volume of the gas respectively.
From the illustration above, the volume is directly proportional to the temperature. This implies that as the temperature increases, the volume will also increase and as the temperature decreases, the volume also will decrease.
Determine the rate of a reaction that follows the rate law: rate = k[A]^m[B]^n, where: k = 0.2, [A] = 3 M, [B] = 3 M, m = 1, n = 2 A. 1.2 (mol/L)/s B. 27 C. 1.8 D. 5.4
[tex]7.408 \;X 10 ^ {-3} m^{-2} s^{-1}[/tex] is rate of a reaction when k = 0.2, [A] = 3 M, [B] = 3 M, m = 1, n = 2 .
What is the rate of a reaction?The rate at which the concentration of reactant or product participating in a chemical reaction alters is called the rate of reaction.
Rate of reaction = [tex]\frac{change \;in \;concentration}{time}[/tex] = (mol/litre)/time.
m= 1 and n = 2
[tex]rate = K [A] [B]^2[/tex]
[tex]0.2 = K X 3 X 3 ^2[/tex]
K = [tex]\frac{0.2 }{27 }[/tex]
K = [tex]7.408 \;X 10 ^ {-3} m^{-2} s^{-1}[/tex]
Hence, [tex]7.408 \;X 10 ^ {-3} m^{-2} s^{-1}[/tex] is rate of a reaction when k = 0.2, [A] = 3 M, [B] = 3 M, m = 1, n = 2 .
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Answer: 7.4 10-3
Explanation:
7.4 10-3 this is right ong
The equilibrium concentrations for the reaction between SO2 and O2 to form SO3 at a certain temperature are given in the table below. Determine the equilibrium constant and whether the reaction favors reactants, products, or neither at this temperature.
Answer:
Option B. K = 1.3×10⁴, product favored
Explanation:
Data obtained from the question include:
O2(g) + 2SO2(g) <==> 2SO3(g)
Concentration of O2, [O2] = 0.024 M
Concentration of SO2, [SO2] = 0.015 M
Concentration of SO3, [SO3] = 0.26 M
Equilibrium constant, K =..?
The equilibrium constant, K is simply defined as the ratio of the concentration of products raised to their coefficient to the concentration of the reactants raised to their coefficient.
The equilibrium constant for the above reaction can be written as
K = [SO3]² / [O2] [SO2]²
Inputing the values of [SO3], [O2] and [SO2] the equilibrium constant, K is:
K = [SO3]² / [O2] [SO2]²
K = 0.26² / 0.024 × 0.015²
K = 1.3×10⁴
Therefore, the equilibrium constant K is 1.3×10⁴.
Since the value of the equilibrium constant, K is large and positive, therefore, the reaction favours the product.
The standard reduction potential of a chromium electrode is -0.74 volts when chromium is reduced from chromium (III). The standard potential of the cell where chromium is oxidized and cerium (IV) is reduced to cerium (III) is 2.35 V. For each half reaction how many electrons are transferred
Answer:
three electrons were transferred in the process
Explanation:
The electrode potential of the cathode is
E°cathode= E°cell + E°anode
E°cathode = 2.35V + (-0.74V)
E°cathode= 1.61 V
Let us look at the reduction half equation; the oxidation half equation must be;
Oxidation half equation;
Cr(s) ----> Cr^3+(aq) + 3e
The reduction half equation must now be
Reduction half equation;
3Ce^4+(aq) + 3e ----> 3Ce^3+(aq)
This implies that three electrons were transferred in the process as shown by the balanced half cell reaction equations.
A ion of the element oxygen (o) has overall charge -2. Therefore,the number of elections in this electrons in this oxygen ion is
Answer:
18 electrons
Explanation:
Each electron carry a -1 charge.
Since Oxygen atom originally has 16 electrons (same no. as no. of protons, where net charge as 0), it must add 2 electrons to bring the net charge to -2. Hence, the number of electrons in this ion is 16 + 2 = 18.
Which quantity can be calculated using the equation E=MC^2
Answer:
The energy needed to split an atom into separate protons, neutrons, and electrons
Explanation:
The equation E = MC^2 is developed by Einstein’s Special Relativity Theory
where,
E = Energy
M = mass
C = speed of the light
The energy should be measured in Joules i.e J
The mass should be measured in Kilogram i.e Kg
And, the speed of the light should be measured in meters per second i.e ms-1
The C should be squared
Now the energy is required to divided into three particles i.e protons, electrons and neutrons
It also needs to allocate the nucleus into distinct protons and neutrons that we called binding energy of nuclear
And if the energy is required to take off an electron from an atom we called the energy of ionization
And if the energy is required to add an electron to an atom so we called it affinity of electron
PLEASE HELP ASAP The molecular weight of oxygen gas (O2) is 32 g/mol. What is the mass of a single oxygen atom? 2.66 x 10-23 g 3.13 x 10-1 g 1.06 x 10-23 g 5.31 x 10-23 g
Answer:
5.31×10¯²³ g.
Explanation:
Data obtained from the question include:
Molar weight of O2 = 32 g/mol
Mass of 1 oxygen atom =..?
From Avogadro's hypothesis, we understood that 1 mole of any substance contains 6.02×10²³ atoms.
This implies that 1 mole of O2 also contains 6.02×10²³ atoms.
1 mole of O2 = 32 g
The mass of 1 atom of O2 can be obtained as follow:
32 g of O2 contains 6.02×10²³ atoms.
Therefore Xg of O2 will contain 1 atom i.e
Xg of O2 = 32/6.02×10²³
Xg of O2 = 5.31×10¯²³ g
Therefore, the mass of a single oxygen atom is 5.31×10¯²³ g.
The mass of a single oxygen atom is 5.31 x 10⁻²³ grams. Therefore, option D is correct.
The molecular weight of oxygen gas is 32 g/mol. To find the mass of a single oxygen atom, divide the molecular weight by Avogadro's number (6.022 x 10²³ atoms/mol).
Avogadro's number (6.022 x 10²³) represents the number of particles (atoms, molecules, or ions) in one mole of a substance.
To find the mass of a single oxygen atom, divide the molecular weight of oxygen gas by Avogadro's number:
Mass of a single oxygen atom = (32 g/mol) / (6.022 x 10²³ atoms/mol)
Simplifying the expression:
Mass of a single oxygen atom = 5.31 x 10⁻²³ g
Therefore, the mass of a single oxygen atom is 5.31 x 10⁻²³ grams.
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HELP PLS!! WILL GIVE BRAINLIEST What is a catalyst? A a substance that slows a reaction down without being used up itself in a reaction. B a substance that is used up while speeding up a reaction. C a reactant that is added to speed up a reaction. D a substance that increases the rate of a reaction without being used up itself in a reaction.
Answer:
D a substance that increases the rate of a reaction without being used up itself in a reaction.
Explanation:
Examples are
ammonia synthesis ==> iron
sulfuric acid manufacture ==> nitrogen(II) oxide, platinum
cracking of petroleum==> zeolites
hydrogenation of unsaturated hydrocarbons ==> nickel, platinum, or palladium
I hope it helps
Answer:
Hey there!
The correct answer would be D. "a substance that increases the rate of a reaction without being used up itself in a reaction."
Hope this helps :)
Both Japan and the United States import many of their fossil fuels from other countries. Based on what you know about fossil fuel formation, why do you think fossil fuels are not distributed evenly across the globe?
Answer:
Fossil fuels are formed when living organisms die, and are buried under a tick layer of earth materials over a long time, usually over million s of years. Fossil fuels are formed under intense heat and pressure on the dead organisms due to the earth layer that has accumulated on the organisms over the years. The type of fossil fuels formed in a particular region depends on the type of organism that has lived in that region over the years, and the climate of the region. Regions with lush, swamp forests with many trees have enough organic material to make coal over the years. The United states however still depend on the importation of other fossil fuel that are in minimal quantity in the country. Most regions have coal, because they once had forests and animals on them but countries like the United States and some other countries have them in abundance, because these regions had a huge amount of lush, swamp forests with many trees. Japan lacks significant domestic reserves of fossil fuel, except coal, and must import substantial amounts of crude oil, natural gas, and other energy resources, because of its climate and the fact that it is an island nation.
Fossil fuels are distributed unevenly because their formation requires precise conditions that aren’t found everywhere. For fossil fuels to form, they need to be subjected to anoxic (lacking oxygen) conditions that allow for great pressure, such as those found beneath the ocean floor.nation:
Which of the following is represented by the number of significant figures in a quantity? A) estimation B) precision C) accuracy D) scientific notation
Answer: the answer is B estimation
Explanation:
i just took a test
The one that is represented by the number of significant figures in a quantity is scientific notation. The correct option is D.
What is scientific notation?Scientific notation is a method of expressing numbers that are either too large or too small to be written in decimal form.
In the United Kingdom, it is known as scientific form, standard index form, or standard form.
The proper scientific notation format is an x 10b, where an is a number or decimal number with an absolute value greater than or equal to one and less than ten, or 1 |a| 10. b is the power of ten required for scientific notation to be mathematically equivalent to the original number.
Scientific notation is represented by the number of significant figures in a number.
Thus, the correct option is D.
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Why does this experiment need a water pump?
Answer:
because the water/air needs to be pumped out.
Explanation:
hoped this helped! (just give it a 1 star if it didn't)
Which of the following is an aldehyde?
Answer: [tex]CH_3CH_2CH_2CHO[/tex] has aldehyde functional group.
Explanation:
Functional groups are specific group of atoms within molecules that are responsible for the characteristic chemical reactions of those molecules.
A. [tex]CH_3CH_2CH_2COCH_3[/tex] has ketone [tex]C=O[/tex] functional group .
B. [tex]CH_3CH_2CH_2COOH[/tex] has carboxylic acid [tex]COOH[/tex] functional group .
C. [tex]CH_3CH_2CH_2CHO[/tex] has aldehyde [tex]H-C=O[/tex] functional group .
D. [tex]CH_3CH_2CH_2COOCH_3[/tex] has ester [tex]RO-C=O[/tex] functional group .
Thus [tex]CH_3CH_2CH_2CHO[/tex] has aldehyde (CHO) group.
A student weighed out a sample of acid powder and found the mass to be 1.42 g. When the solution turned pink, the student read the burette accurately and found it to be 32.48 mL. If the base concentration is 0.1426 M, what is the molecular weight of the unknown acid
Answer:
306.6g/mol
Explanation:
To calculate molecular weight you need to know how many grams ou have in a determined amount of moles of substance. As you have the mass of the sample (1.42g), you need to find how many moles are, as follows:
The reaction of the acid HX with the base YOH is:
HX + YOH → H₂O + YX
1 mole of acid reacts per mole of base.
In a titration, the solution turned pink when moles base = moles acid.
Moles of base that the student added (Using the volume and molarity of the solution) are:
32.48mL = 0.03248L ₓ (0.1426 moles base / L) = 0.004632 moles of base
As the titration is in equivalence point, there are 0.004632 moles of the acid
Molecular weight (Ratio between grams of sample and its moles) is:
1.42g / 0.004632 moles =
306.6g/molThe client had the following for dinner: 8 ounces of pears 8 ounces of ginger ale 8 ounces of peaches 1 chicken tenders meal 1 popsicle (40 mL) 8 ounces of liquid meal supplement (i.e. Ensure®) What is the client's total intake?
Answer:
Client's total intake = 32 ounce of liquid meal supplement
Explanation:
Given:
Meal take
8 ounces of pears
8 ounces of ginger
8 ounces of peaches
liquid meal supplement = 8 ounces
Find:
Client's total intake.
Computation:
Client's total intake = 8 ounces of pears + 8 ounces of ginger + 8 ounces of peaches + 8 ounces liquid meal supplement
Client's total intake = 32 ounce of liquid meal supplement
Q7. Aluminum is extracted from the ore bauxite, which is impure aluminum oxide. 1 tonne (1000 kg) of the ore was found to have this composition: 1. aluminum oxide 825 kg 2.iron(III) oxide 100 kg 3.sand 75 kg
(a): What percentage of this ore is impurities?
(b): 1 tonne of the ore gives 437 kg of aluminum.
(i): How much aluminum will be obtained from 5 tonnes of the ore?
(ii): What mass of sand is in this 5 tonnes?
(c): What will the percentage of aluminum oxide in the ore be, if all the iron (III) oxide is removed, leaving only the aluminum oxide and sand?
Answer:
(a) Total impurities = 17.5%
(b)
(i) 5 tons of ore yields 2185 kg of aluminium
(ii) 5 tons of ore contains 375 kg of sand
(c) Percentage of Al2O3 in purified ore = 825/900 = 91.7%
Explanation:
Q7. Aluminum is extracted from the ore bauxite, which is impure aluminum oxide.
1 tonne (1000 kg) of the ore was found to have this composition:
1. aluminum oxide 825 kg (82.5%)
2.iron(III) oxide 100 kg (10%)
3.sand 75 kg (7.5%)
(a) Since we are interested only in extracted aluminium, everything other than aluminium oxide is considered impurity, which includes Fe2O3 (10%) and sand (7.5%). Total impurities = 10+7.5 = 17.5%
(b) "1 tonne of the ore gives 437 kg of aluminum."
(i) 1 ton of ore : 437 kg Al = 5 tons of ore : x kg of Al
Cross multiply
x = 5 tons * 437 kg / 1 ton = 2185 kg of aluminium
(ii) 1 ton of ore contains 75 kg of sand
5 tons of or contains x kg
x = 5*75/1 = 375 kg of sand
(c) If the ore is purified from Fe2O3, then for each ton of ore, there will be left
825 kg of aluminium oxide,
75 kg of sand
for a total of 900 kg.
Percentage of Al2O3 = 825/900 = 91.7%
Answer:
A) 17.5 %
B) 1) 2135 kg
2) 375 kg
C) 91.8%
Explanation:
Part (A):
1 tonne = 1000 kg = 100%
Aluminium oxide = 825 kg = 82.5%
Iron (III) oxide = 100 kg = 10%
Sand = 75 kg = 7.5%
That makes total of 100%
So, the percentage of impurities = Iron (III) oxide + Sand
=> 10 + 7.5 = 17.5%
Part (B):
(1) 1 tonne = 427 kg
Multiplying both sides by 5
=> 5 tonne = 427 * 5
=> 5 tonnes = 2135 kg
(2) 1 tonne contains 75 kg sand as impurity
=> 1 tonne = 75 kg
Multiplying both sides by 5
=> 5 tonnes = 75*5
=> 5 tonnes = 375 kg
Part (C):
If all of the iron oxide was removed, then only aluminium and sand are left.
Aluminium = 825 kg
Sand = 74 kg
Total of them makes it:
=> 825 + 74 = 899
So,
%age of Aluminium = [tex]\frac{825}{899} * 100[/tex]
%age of Aluminium = 0.918 * 100%
%age of Aluminium = 91.8%
Which of the following compounds will give rise to an acidic solution in water? Group of answer choices KNO3 HC2H3O2 Na2CO3 NaCH3CO2
Answer:
HC2H3O2
Explanation:
Acetic acid is a colorless organic compound liquid called ethanoic acid. It has molar mass of 60.052 g/mol. It is soluble in water. Its formula is CH3COOH. If water is combined with HC2H3O2 then it will give rise to acetic acid solution. When acetic acid is combined with water it creates hydronium and acetate ions.
The figure shows a graph of Allison’s walk to school. She follows the black vectors to get to her school. Which if the following best describes her walk?
Answer:
Allison walks 5 blocks west and 3 blocks south.
Explanation:
Vectors have both magnitude and direction. The attached figure shows the graph of Allison’s walk to school. She follows the black vectors to get to her school.
The first vector on the horizontal axis points towards west and there are 5 blocks. Initially, she walks 5 blocks in west direction.
The second vector points in the negative vertical axis. It means that she walks 3 block in south direction.
Hence, the correct option is (D) i.e. Allison walks 5 blocks west and 3 blocks south.
what is the relationship between ph and poh?
Answer:
pH and pOH denote the negative log of the concentration of hydrogen or hydroxide ions. High pH means that a solution is basic while high pOH means that a solution is acidic. ... So here the basic definition of pH is that it's equal to negative log base 10 of the concentration of protons in your solution.
pH and pOH are inversely proportional to one another i.e. as one increases, the other decreases and vice versa.
What is pH and pOH?pH and pOH are terms used to measure the level of acidity or alkalinity of a substance.
A basic solution has a pOH less than 7, while an acidic solution has a pOH greater than 7.
On the other hand, a basic solution has a pH greater than 7 while an acidic solution has a pH lesser than 7.
Therefore, it can be said that pH and pOH are related inversely i.e. as one decreases, the other increases.
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If 156.06 g of propane, C3H8, is burned in excess oxygen, how many grams of water are formed? C3H8 + O2 → CO2 + H2O Select one: a. 255.0 b. 765.1 c. 191.3 d. 31.88
Answer:
The correct option is;
a. 255.0 g
Explanation:
The given information are;
Mass of propane, C₃H₈ in the combustion reaction = 156.06 g
The equation of the combustion reaction is C₃H₈ + 5O₂ → 3CO₂ + 4H₂O
From the balanced chemical equation of the reaction, we have;
One mole of propane, C₃H₈ reacts with five moles oxygen gas, O₂, to form three moles of carbon dioxide, CO₂, and four moles of water, H₂O
The molar mass of propane gas = 44.1 g/mol
The number of moles, n, of propane gas = Mass of propane gas/(Molar mass of propane gas) = 156.06/44.1 = 3.54 moles
Given that one mole of propane gas produces 4 moles of water molecule (steam) H₂O, 3.54 moles of propane gas will produce 4×3.54 = 14.16 moles of (steam) H₂O
The mass of one mole of H₂O = 18.01528 g/mol
The mass of 14.16 moles of H₂O = 14.16 × 18.01528 = 255.0 g
The mass of H₂O produced = 255.0 g
Which of the following has the smallest radius ? A. Br B. I C. I- D. Br-
Answer:
A. Br
Explanation:
Atomic radius increases down the group. As the increase in the attractive force of the nucleus increases owing to increase in the size of its positive charges, extra electrons are added to the shells to more than counterbalance this effect down the group hence the atomic radius becomes larger. Iodine has a larger atomic radius than bromine.
Secondly, the ionic radius of a negative ion is greater than its corresponding atomic radius since a negative ion is formed by adding a negative charge (electron) to the atom thus making it bigger. Hence the radius of I^- is greater than that of Br^-.
This means that Br atom must possess the smallest radius among the options listed.
Answer:
D
Explanation:
Br-
What does the pH of a solution have to be in order to be a base?
Explanation:
pH is used to measure the concentration of H+ ions ([H+]) and therefore, whether a substance is acidic or basic (alkaline). Solutions with a pH of less than seven are acidic, while those with a pH greater than seven are basic (alkaline).
Answer:
greater than 7
Explanation:
A base is any solution with a pH greater than 7. A pH of 7 is considered neutral. For example, the pH of water. An acid is any solution with a pH less than 7.
Hope that helps.
A. If both Assertion & Reason are true and the reason is the correct explanation of the assertion. B. If both Assertion & Reason are true but the reason is not the correct explanation of the assertion. C. If Assertion is true statement but Reason is false. D. If Assertion is false and Reason is true Assertion: .Formation of soluble products from insoluble ones is called precipitation. Reason : Precipitation involves formation of insoluble products from soluble ones
Answer:
D- Assertion is false and Reason is true
Explanation:
Precipitation is said to have occurred when an insoluble product is formed from soluble ones. Let us take an instance;
BaCl2(aq) + H2SO4(aq) -------> BaSO4(s) + 2HCl(aq)
The barium sulphate so formed is an insoluble product obtained from the reaction of soluble barium chloride and sulphuric acid. This is a typical example of a double replacement reaction as the both ions exchanged partners.
Thus, the assertion is false but the reason is true.
A large scuba tank with a volume of 18 L is rated for a pressure of 220 bar. The tank is filled at 20 °C and contains enough air to supply 1860 L of air to a diver at a pressure of 2.37 atm (a depth of 45 feet). Was the tank filled to capacity at 20 °C?
Answer:
Yes, at 20 °C the tank was filled to full capacity
Explanation:
Given;
let initial pressure, P₁ = 2.37 atm
let initial volume, V₁ = 1860 L
let final pressure, P₂ = 220 bar = 217.123 atm
let final volume, V₂ = ?
Subject the air volume (1860 L ) at 2.37 atm to the tank rating (220 bar)
Ideal law is given by;
PV = nRT
At a fixed mole and gas temperature, the equation becomes;
P₁V₁ = P₂V₂
V₂ = (P₁V₁) / P₂
V₂ = (2.37 x 1860) / 217.123
V₂ = 20.3 L
After subjecting the air volume to tank rating, the volume of the air at 220 bar is 20.3 L which is greater than tank volume (18 L).
The extra 2.3 L can be assumed to be compressed gas volume due to the given (lower) temperature.
Thus, at 20 °C the tank was filled to full capacity.
what is the smallest particle which prossesses the properties of a compound called?
Answer:
Molecule
Explanation:
Compounds are chemical substances comprising of two or more elements. The smallest particle contained in a compound is the MOLECULE. Molecules are combinations of atoms (same or different) of an element held together by a chemical bond.
Since a compound is a molecule with two or more elements combined, the chemistry of the molecules contained in a compound determines its chemical properties. This means that the molecules of a compound are responsible for the interactions of a compound in a chemical reaction. Examples of molecules are H2O, N2, O3 etc.
You combine 13 g of magnesium with 5 g of nitrogen to form a compound.
What is the mass percent of nitrogen in the compound?
Answer:
[tex]\large \boxed{28 \, \% }[/tex]
Explanation:
magnesium + nitrogen ⟶ Product
13 g 5 g
Mass of product = 13 g + 5 g = 18 g
The product contains 5 g of nitrogen .
[tex]\text{Percent N} = \dfrac{\text{5 g}}{\text{18 g}} \times \, 100\% = \mathbf{28 \, \%}\\\text{The percent by mass of nitrogen is $\large \boxed{\mathbf{28 \, \% }}$}[/tex]
Where does the half-reaction below occur in an electrochemical cell?
Fe(s) → Fe2+(aq) + 2e
O A. Anode
B. Salt bridge
C. Cathode
O D. Both electrodes
someone plz plz answer this hurry plz it
Answer:
b
Explanation:
Place the following substances in order of decreasing vapor pressure at a given temperature: BeF2, CH3OH, OF2?
(a) OF2 > BeF2 > CH3OH
(b) BeF2 > OF2 > CH3OH
(c) BeF2 > CH3OH > OF2
(d) CH3OH > OF2 > BeF2
(e) OF2 > CH3OH > BeF2
Answer:
(b) BeF2 > OF2 > CH3OH
Explanation:
The degree and type of intermolecular forces present in a substance influences its vapour pressure considerably. The greater the magnitude and strength of intermolecular forces in the substance, the lower the vapour pressure of the substance.
BeF2 molecules are held together by weak vanderwaals forces hence BeF2 will exhibit the least degree of intermolecular interaction and have the highest vapour pressure. OF2 molecules are bound together by dipole interactions hence it will exhibit a lower vapour pressure compared to BeF2. CH3OH molecules form hydrogen bonds with water molecules hence it will exhibit the least vapour pressure among the trio.
6. A diamond contains 5.0 ×10^21 atoms of carbon. What amount(moles) of carbon and what mass (grams) of carbon are in this diamond? *
a. 0.008303 and 0.0997
b. 0.008303g and 0.0997mol
c. 0.008303amu and 0.0997
d. 0.008303 and 0.0997amu
Answer:
0.008303 mol and 0.0997 g
Explanation:
From Avogadro's hypothesis, we understood that 1 mole of any substance contains 6.022×10²³ atoms.
This implies that 1 mole of carbon also contains 6.022×10²³ atoms.
Next, we shall determine the mole of carbon that contains 5.0×10²¹ atoms. This can be obtained as follow:
1 mole of carbon contains 6.022×10²³ atoms.
Therefore, Xmol of carbon will contain 5.0×10²¹ atoms i.e
Xmol of carbon = 5.0×10²¹ / 6.022×10²³
Xmol of carbon = 0.008303 mole
Therefore, 0.008303 mole of carbon contains 5.0×10²¹ atoms.
Finally, we shall determine the mass of carbon. This can be obtained as follow:
Mole of carbon = 0.008303 mole
Molar mass of carbon = 12.01 g/mol
Mass of Carbon =.?
Mole = mass /Molar mass
0.008303 = mass of carbon/12.01
Cross multiply
Mass of Carbon = 0.008303 x 12.01
Mass of Carbon = 0.0997 g.