To isolate isopentyl acetate from the reaction mixture, you can follow this separation scheme:
1. Draw: Start by drawing a flow chart to represent the separation process.
2. Upload: You can't physically upload the drawing here, but you can describe the steps involved in the separation process.
Separation scheme for the isolation of isopentyl acetate:
1. Reaction Mixture: Begin with the reaction mixture containing isopentyl acetate and other components.
2. Extraction: Perform liquid-liquid extraction using an organic solvent (e.g., dichloromethane) and a separatory funnel. The isopentyl acetate will dissolve in the organic layer, while the aqueous layer will contain water-soluble impurities.
3. Separation: Separate the organic layer from the aqueous layer in the separatory funnel.
4. Drying: Dry the organic layer using anhydrous sodium sulfate to remove any remaining traces of water.
5. Filtration: Filter the dried organic layer to remove the drying agent.
6. Evaporation: Evaporate the solvent to obtain purified isopentyl acetate.
This scheme outlines the isolation of isopentyl acetate from the reaction mixture using a series of separation and purification techniques.
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What type of reaction is represented by the following equation:
Mg(ClO3)2(s) --> MgCl2(s) + 3 O2(g)
A. single replacement
B. synthesis
C. decomposition
D. combustion
Potential energy stored in the bonds of a molecule is also called: __________
Potential Energy stored in bond of molecules is called chemical energy.
Define Potential Energy?Potential energy in physics is the energy that an item retains as a result of its position in relation to other objects, internal tensions, electric charge, or other elements.A potential in physics can either be a scalar potential or a vector potential. It is a field that is defined in space in either instance, and it may be used to deduce a lot of significant physical features.Potential energy is the energy that an object accumulates because of its position, enabling it to perform more work.An extended rubber band, for instance, is full of potential energy. Similar to this, a ball will have more potential energy when released above the ground than when it falls.To learn more about Potential Energy refer to:
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3. A 170.00 g sample of an unidentified compound contains 29.84 g sodium, 39.7 g chromium, and 72.67 g oxygen. What is the compound's empirical formula?
The resulting empirical formula is Na2CrO4.
What is empirical formula?The empirical formula of a compound is the simplest whole-number ratio of the elements it contains. To calculate the empirical formula, we must first determine the molar ratio of the elements by dividing their masses by their respective molar masses.
For sodium, the molar mass is 22.99 g/mol. Therefore, the molar ratio of sodium is 29.84 g / 22.99 g/mol = 1.30 mol.
For chromium, the molar mass is 51.99 g/mol. Therefore, the molar ratio of chromium is 39.7 g / 51.99 g/mol = 0.76 mol.
For oxygen, the molar mass is 16.00 g/mol. Therefore, the molar ratio of oxygen is 72.67 g / 16.00 g/mol = 4.54 mol.
To get the empirical formula, we must divide each of the molar ratios by the smallest molar ratio, which in this case is 0.76 (for chromium). The resulting empirical formula is Na2CrO4.
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The air pressure at the top of Mount
Everest is about 199 mm Hg.
What is the pressure on Everest in
atmospheres?
[?] atm
The air pressure at the top of Mount Everest in atmospheres is equal to 0.2618 atm.
What is pressure?In Science, pressure can be defined as a measure of the force exerted per unit area of an object or physical body. This ultimately implies that, pressure is usually measured in Newton per meter square and calculated by using this formula:
P = F/A
Where:
P represents the pressure.F represents the force.A represents the area.Generally speaking, air pressure can be measured in other units such as the following:
PascalAtmosphereMillimeters of mercury (mm Hg).In order to convert the value of pressure in millimeters of mercury (mm Hg) to atmosphere, we would divide by 760 as follows:
Air pressure = 199/760
Air pressure = 0.2618 atm.
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Answer: 0.261842
Explanation:
78.1g of CO₂ gas are in a rigid 48.0L container at 0°C.
What is the pressure of the gas?
According to question the pressure of the gas is 4.45 atm.
Pressure is a physical force exerted on a surface by an object or a liquid. It is measured in units of force per unit area, such as pounds per square inch (psi) or pascals (Pa). Pressure is created when a force is applied to an object, causing it to compress or expand.
The pressure of the gas can be calculated using the ideal gas law, which states that PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the ideal gas constant, and T is the temperature.
To calculate the pressure, we first need to calculate the number of moles of CO₂ gas in the container. We can do this by using the molar mass of CO₂, which is 44.01 g/mol.
n = (78.1 g CO₂) / (44.01 g/mol) = 1.77 mol
Now that we have the number of moles, we can calculate the pressure using the ideal gas law.
P = (1.77 mol)(0.0821 L·atm/K·mol)(273 K) / (48.0 L)
P = 4.45 atm
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Draw the best Lewis structure for
CH3CH(CH3)CH2C(CH2CH3)2CHO, a neutral molecule.
HELP PLEASE
the best Lewis structure for CH3CH(CH3)CH2C(CH2CH3)2CHO, a neutral molecule has been shown in the image
A Lewis Structure is a very simple example of a molecule's valence shell electrons. It is used to depict how electrons in a molecule are set up around individual atoms. Gilbert N. Lewis, who introduced the Lewis structure in his 1916 article The Atom and the Molecule, was decided to name after it. Lewis structures broaden on the electron dot diagram notion by trying to add routes among atoms to portray shared pairs in a chemical bond. The Lewis Symbol is generated by putting dots chosen to represent electrons in the external energy around the element symbol.
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The absolute configuration of any amino acid is shown by pointing H at the rear, R group in the right direction, -COOH group at the left direction, and NH3 groups would be pointing upwards.
The absolute configuration of any of the amino acid is :
H H
| |
HOOC - C - NH₂ H₂N - C - COOH
| |
CH₃ CH₃
The configuration of the amino acid is indicated by the pointing H at the rear, the R group is in the right direction , The COOH group is in the left direction and the NH₃ group in the upward direction.
H H
| |
HOOC - C - NH₂ H₂N - C - COOH
| |
CH₃ CH₃
D - amino acid L - amino acid
The proteins which are naturally obtained are consist of the L - amino acid. The L - of the amino acid are the one that found in the nature easily.
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what is the half-life of sodium-25 if 1.00 gram of a 16.00-gram sample of sodium-25 remains unchanged after 237 seconds?
The half-life of sodium-25 is 237 seconds.
The half-life of a radioactive substance is the amount of time it takes for half of the initial amount of the substance to decay. In this case, 1.00 gram of a 16.00-gram sample of sodium-25 remains unchanged after 237 seconds, which means that half of the initial sample has decayed in that amount of time.
Therefore, the half-life of sodium-25 is 237 seconds. It's worth mentioning that the half-life of radioactive isotopes can vary depending on the element and the specific isotope. Also, the half-life of a radioactive element is an important factor in the safe handling and disposal of nuclear waste, because it determines how long the radioactive material remains dangerous.
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Which has a free radical? ClO3- ; NO ; NO2- ; NO2 ?
NO and NO₂ are the free radicals.
The species which is having unpaired as well as odd number of electrons will be considered as a free radical. If the number comes out to be odd, the concerned species will be considered as a free radical. In case of NO₂, the total number of electrons is 23 (7 from nitrogen and 16 from two oxygen atoms) and in case of NO the total number of electrons is 15 (7 from nitrogen and 8 from oxygen). Hence, the species are free radical.
Whereas, in case of [tex]ClO3^{-}[/tex], the total number of electrons is 42 (17 from chlorine and 24 from three oxygen and +1 for negative charge) and in case of [tex]NO2^{-}[/tex]the total number of electrons is 24 (7 from nitrogen and 16 from oxygen and +1 for negative charge) There are even no. of electrons. Hence the [tex]ClO3^{-}[/tex] and [tex]NO2^{-}[/tex] are not a free radical.
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A _____________ __________________ occurs at the coast of oceans and other large water bodies during sunny days
A sea breeze occurs at the coast of oceans and other large water bodies during sunny days.
Where does sea breeze occur?The term sea breeze defined as it describes a wind that blows from the ocean inland towards land. In daytime, the land surface heats up faster than the water surface.
The sea breeze occurs mostly in the spring and summer months because of the higher temperature differences between the ocean and nearby land, mostly in the afternoon when the land is at more heating from the sun.
Thus, A sea breeze occurs at the coast of oceans and other large water bodies during sunny days.
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___is the transfer of heat through the movement of a fluid such as water or air.
Answer:
Convection
is the movement of heat by a fluid such as water or air. The fluid (liquid or gas) moves from one location to another, transferring heat along with it. This movement of a mass of heated water or air is called a current. Radiation is the transfer of heat by electromagnetic waves.
Identify the conjugate acid for each base.
conjugate acid of H2PO−4 :
inconjugate acid of SO2−4 :
conjugate acid of NH3 :
the conjugate acid for each base is conjugate acid of H2PO−4 : HPO4^2-, conjugate acid of SO2−4 : HSO4-, conjugate acid of NH3 : NH4+
A conjugate acid-base pair is a pair of substances that differ by only a proton. An acid is a substance that donates a proton (H+) in a chemical reaction, while a base is a substance that accepts a proton. When an acid loses a proton, it becomes its conjugate base, and when a base gains a proton, it becomes its conjugate acid.For example, the conjugate acid of the base NH3 is NH4+ and the conjugate acid of the base H2O is H3O+. The conjugate acid and the base are in equilibrium with each other, and the acidity constant (pKb) of the base is related to the basicity constant (pKa) of the conjugate acid. In acid-base reactions, the acid donates a proton to form its conjugate base, and the base accepts a proton to form its conjugate acid.
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Define acid and what is the highest pH
Answer:
A substance with particular chemical properties including turning litmus red, neutralizing alkalis, and dissolving some metals; typically, a corrosive or sour-tasting liquid of this kind. Often contrasted with alkali and base.
The highest pH is 1
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2Ca3(PO4)2+6SiO2+10C-> 6CaSiO3+P4+10CO
Refer to the information above. If you use .57 mol of Ca3(PO4)2 and an excess of silicon dioxide and carbon, how many moles of phosphorus will be produced?
Calcium phosphate can be converted into phosphorus using the following reaction: 6CaSiO3-(aq) + 2Ca3(PO4)2(s) = 6SiO2(s) + 10C(s).
With 114.95 g of phosphorus, how many molecules of phosphorus are there?Thus, the amount of moles for phosphorus is equal to the quantity of phosphorous divided by its molar mass. Now divide the molarity of phosphorus, which is 31 g each mole and weighs 114.95 g. Graham and this crime should cancel each other out. And after solving, 3.71 malls result.
How many moles of the formula are produced?You need to know the product's mass and its molarity (h t), which corresponds to the mass with one mole of the product, in order to determine the moles of the a substance.
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According to the bohr model of the atom, the single electron of a hydrogen atom circles the nucleus...a. in specific, allowed orbits.b. in one fixed orbit at all times.c. at any of an infinite number of distances, depending on its energy.d. counterclockwise.
Option C ; At any of an infinite number of distances, depending on its energy .
Bohr described the Hydrogen atoms in terms of an electron moving in a circular route about a nexus. He supposed that the electron was confined to certain pathways characterized by separate powers.It explains the emigration and absorption spreads of atomic hydrogen and hydrogen- suchlike ions with low atomic numbers. It was the first model to introduce the generality of a quantum number to describe atomic countries and to postulate quantization of electron pathways in the tittles. Bohr’s model is an important step in the development of quantum mechanics, which deals with multitudinous- electron particles. It was the first model to introduce the conception of a amount number to describe infinitesimal countries and to hypothecate quantization of electron routeways in the snippet. Bohr’s model is an important step in the development of amount mechanics, which deals with numerous- electron tittles.
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A gas at 110 °C exerts a pressure
of 225 torr in a sealed container.
The temperature drops to 65 °C.
What is the pressure of the gas at
the cooler temperature?
Answer:
The pressure of the gas when the temperature drops to 65°C is 133 Torr.
Explanation:
Guy-Lussacs lawThe Gay-Lussac law is a version of the ideal gas law in which the volume of the gas remains constant. A gas's pressure is exactly proportional to its temperature while its volume remains constant. The formula can be defined like this [tex]\frac{T1}{P1} = \frac{T2}{P2}[/tex].Answer BreakdownGiven informationThe gas is initially 110°C and has a pressure of 225 Torr.The temperature of the gas drops to 65°C and the question is asking us to find the pressure drop of the gas.Set up the proportionGiven the formula: [tex]\frac{T1}{P1} = \frac{T2}{P2}[/tex], T1 = 110°C & P1 = 225 TorrT2 = 65°C & P2 = ?[tex]\frac{110C}{225 Torr} = \frac{65C}{P2}[/tex]Cross-multiply, divide, and solve110°C X P2 = 225Torr x 65°C110°CP2 = 14,625P2= 132.95 which is best rounded off to 133 Torr.Please let me know if this helped!!!
HELP ME PLEASE ASAP I NEED HELP WITH QUESTION 1.2
The section of the periodic table in Figure 1 that is most likely to contain element R is section A.
What is the explanation about above answer?Based on the information you provided, element Q is a dull solid with a melting point of 44 °C and does not conduct electricity. These properties suggest that element Q is likely a non-metal. Therefore, the section of the periodic table in Figure 1 that is most likely to contain element Q is section B. This is because non-metals have a low melting and boiling point and they are poor conductors of electricity.Regarding element R, the information provided is its formula R2+ and R3+. These formulas suggest that element R is likely a metal and has a positive charge. Therefore, the section of the periodic table in Figure 1 that is most likely to contain element R is section A. This is because most of the elements in section A are metals and they have positive charges. Since the given information is not enough to determine the position of the element R precisely, however, it's likely that section A is the most probable one.To learn more about conductor refer:
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Classify the C- Cl bond in CCl4 as ionic, polar covalent or non-polar covalent. (EN: C-2.5, C-3,0)
A. ionic
B. polar covalent
C. nonpolar covalent
C. nonpolar covalent is the nature of C-Cl bond in the compound CCl4 having (Electronegativity: C-2.5, C-3,0).
A covalent bond is a chemical bond formed by the sharing of electrons between two atoms. The bond between C and Cl in CCl4 is a covalent bond. The electronegativity difference between C and Cl is small (EN C = 2.5 and EN Cl = 3.0), indicating that the bond is nonpolar covalent. In a nonpolar covalent bond, the electrons are shared equally between the atoms, and there is no separation of charge. The atoms have the same pull on the electrons, meaning that the electrons are shared equally between the atoms. In this case, the bond between C and Cl is nonpolar covalent because the electronegativity of C and Cl are similar, and the electrons are shared equally. Therefore, the bond is not polarized and there is no separation of charge. To sum up, C-Cl bond in CCl4 is not ionic and not polar covalent, it is a nonpolar covalent bond.
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What is 4NA + 8CI2= NaCi
The coefficient that would be in the front of NaCl will be 2.
Mole ratio of reactants in reactionsThe normal balanced equation of reaction between sodium (Na) and chlorine molecule (Cl2) is as follows:
[tex]2Na + Cl_2 --- > 2NaCl[/tex]
Thus 2 moles of Na is required to completely react with 1 mole of [tex]Cl_2[/tex] to produce 1 mole of NaCl.
In the reaction depicted reaction 4 moles of Na and 12 moles of [tex]Cl_2[/tex] were made available for the production of NaCl. However, the mole ratio for a complete reaction is 2 moles of Na to 1 mole of NaCl.
2 moles Na = 1 mole NaCl
4 moles Na = 4x1/2 = 2 moles NaCl
This means that the coefficient of NaCl in the equation should be 2.
However, there is a catch. The [tex]Cl_2[/tex] seems to be in excess.
2 moles Na = 1 mole of [tex]Cl_2[/tex]
4 moles Na = 4x1/2
= 2 moles of [tex]Cl_2[/tex]
This means about 6 moles of [tex]Cl_2[/tex] will be in excess.
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4Na + 8Cl2 ---------> ? NaCl
What is the coefficient that belongs in front of NaCl?
Mario tudied how far room temperature water would purt out of a platic milk carton when 3mm hole were punched at different height from the bottom of the container
The independent variable here is the distance water traveled out of the carton.
The factors of the subject or the things that have an impact on the experiment are known as the variables of an experiment. Three different sorts of variables exist. These variables are control, independent, and dependent.
Independent variables are ones that are not under the experimenter's direct control. The experimenter can alter or regulate the dependent variables. Control variables are those that don't change or are constrained during the experiment.
The carbon's journey distance is the dependent variable in this situation when Mario studied how far room temperature water would spurt out of a plastic milk carton when 3mm holes were punched at different heights from the bottom of the container.
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What is an ionic bond Mcq?
Ionic bonds, also known as electrovalent bonds, are a type of linkage created in a chemical molecule by the electrostatic attraction of ions with opposing charges.
When the valence electrons of one atom are permanently transferred to another atom, a bond of this kind is created. If an atom receives electrons, it becomes a charged ion, but if it loses them, it becomes a positively charged ion.
Ionic or electrovalent compounds are produced via ionic bonding, and the compounds generated between nonmetals and alkali and alkaline-earth metals serve as the best examples of this type of compound.
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How many oxygen atoms are there in 5.00 moles of MgSO4?
There are 112 oxygen atoms in 5.00 moles of MgSO4. This is because MgSO4 is composed of 1 mole of magnesium (Mg), 1 mole of sulfur (S), and 4 moles of oxygen (O).
What is composed?
Composed is a term used to describe the process of creating something, usually through artistic means. It can be used to refer to writing a song, painting a picture, or composing a poem. It can also refer to the creation of a musical composition or arrangement, either by an individual or as part of a team.
Therefore, if there are 5.00 moles of MgSO4, there would be 4 x 5.00 = 20 moles of oxygen, and since there are 6.02 x 10^23 atoms per mole, there would be 20 x 6.02 x 10^23 = 1.204 x 10^25 oxygen atoms.
Composed can also refer to the arrangement of elements in a piece of art or design, or the overall structure of a work. In some cases, the term may be used to refer to the creative process of planning and assembling a work, such as a book, movie, or painting.
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The percentages of propane and butane in LPG fuel change at different times of the year. In the winter, LPG fuel contains a higher percentage of propane. In the summer, LPG fuel contains a higher percentage of butane. Suggest why fuel suppliers change the composition.
The lower boiling point of propane makes it better in winter compared to butane.
What is LPG?The term LPG stands for liquified petroleum gases. It is one of the kinds of the gases that we can be able to use as fuel. We have to know that the gases that are used as fuel are the gases that are able to burn very well as this is key in the use of the fuel.
In the winter, we would need to use a gas that has a much lower boiling point and this is why in this case, the propane would be found to be better than butane due to its lower boiling point.
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Complete this table for H2O: T. C P. kPa u, kJ/kg Phase description . 400 1450 220 Saturated vapor 190 2500 . 4000 3040
Complete this table for the H₂O :
a. T=143.61 °C , saturated mixture
b. p = 2319.6 kpa . u, kJ/kg = 2601.30
c. u, kJ/kg = 806.00, compressed liquid
d. T = 450 °C , superheated vapor
The complete table for the H₂O is as :
T [°C] p [kpa] u [kJ/kg] phase description
143.61 400 1450 Saturated mixture
220 2319.6 2601.30 Saturated vapor
190 2500 806.00 Compressed liquid
450 4000 3040 Superheated vapor
The compressed liquid is also called as a sub cool liquid, that means the substance that not about to vaporized. The super heated vapor is. the steam at the temperature higher than the vaporization point at absolute pressure.
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How do you find partial pressure from mole fraction?
To find partial pressure from mole fraction, we have to multiply mole fraction with total pressure in the event.
How to find partial pressure with example?Partial pressure is a result of multiplying of mole fraction and total pressure or in formula it is written as Pfraction = molefraction x Ptotal. To make it easief for you to understand, let's see the example below:
Let say we have a room with 24.2 g of He and 4.32 g of O2 at 2.611 atm pressure. In this case, before we calculate the partial pressure we have to calculate the mole fraction
24.2 g Neon x 1 mol Neon / 20.18 g Neon = 1.199 mol Neon
4.32 g Oxygen x 1 mol Oxygen / 31.998 g O2 = 0.135 mol Oxygen.
Total moles = 1.199 x 0.135 = 1.334 mol gas
Mole fraction Ne = 1.199 mol/1.334 mol = 0.899
Mole fraction O₂ = Oxygen: 0.135/1.334 = .101
Then find the partial pressure
PNe = mole fraction Ne x Ptot = 0.899 x 2.611 atm = 2.35 atm
PO2 = mole fraction O ₂ x Ptot = 0.101 x 2.611 atm = 0.264 atm
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I need help with this question.
When pipes leak, the environment's air, water, soil, and climate might be harmed. When there is a lot of rain and flooding, pipes that span rivers and streams are more likely to burst.
What are the advantages and disadvantages of drilling?Acid rain, deteriorating water quality, groundwater contamination, and the greenhouse effect's intensification are only a few significant environmental effects. Aside from destroying ecosystems that, in some cases, may be unique, the oil and gas industry may also be a factor in the decline of biodiversity. Drilling and milling machines have both advantages and drawbacks.
Benefits: accurate points, good feed control, and challenging to roll. Retraction's shortcomings include its lack of flexibility and inability to process large or deep holes. Furthermore, methane, a greenhouse gas 21 times more potent than carbon dioxide, is released in enormous quantities by the oil and gas sector. In total, the industry is to blame for 3.8% of all greenhouse gases, or 38% of all methane emissions in the United States.
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what mass of CO2 will be produced from the reaction of 37.5 g c2h6?
The mass of carbondioxide that will be produced from the reaction of 37.5g of C₂H₆ is 110 grams.
How to calculate moles using stoichiometry?Stoichiometry is the study and calculation of quantitative (measurable) relationships of the reactants and products in chemical reactions (chemical equations).
According to this question, ethane reacts with oxygen to produce carbondioxide and water as follows:
2C₂H₆ + 7O₂ → 4CO₂ + 6H₂O
Based on the above reaction, 2 moles of ethane produces 4 moles of carbondioxide
37.5g of ethane = 1.25moles of ethane
moles of carbondioxide = (1.25 × 4) ÷ 2 = 2.5 moles
mass of carbondioxide = 2.5mol × 44g/mol = 110grams of carbondioxide.
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Indicate whether each of the following compounds will gave an acidic, basic or neutral solution when dissolved in water.
ammonium nitrate
barium hypochlorite barium nitrate
potassium nitrite
The pH will be less than 7.
The pH wil be approximately equal to 7
The pH will be greater than 7
When a solution is acidic, its pH will vary from 0 to 6.9. The pH of a basic solution may range from 7.1 to 14. When a solution is neutral, its pH will be 7.
What is an example of a solution?A solution is a uniform mixture made up of two or more elements that have particles smaller than one nanometer. There are many different types of solutions, such as soda water, salt-and-sugar solutions, and others. A solution looks to have one phase for each component.
What does the word "solution" signify in its perfect form?A solution in chemistry is a mixture of several substances in quantities that can be adjusted up to
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Given the following equation:
2 AgNO3 + CaCl2 --> 2 AgCl(s) + Ca(NO3)2
What is the net ionic equation:
A. Ca2+ + 2 Cl- --> CaCl2
B. Ag+ + NO3- --> AgNO3
C. Ca2+ + 2 NO3- --> Ca(NO3)2
D. Ag+ + Cl- --> AgCl
The net ionic equation of the reaction of AgNO₃ and CaCl₂:
Ag⁺ (aq) + Cl⁻ (aq) → AgCl (s)
What are the net ionic equations?The net ionic equation can be described as an equation that represents only those elements, ions, that directly contributed to that chemical reaction.
We can write a chemical equation for the formation of AgCl:
2 AgNO₃ + CaCl₂ → 2 AgCl (s) + Ca(NO₃)₂
The complete ionic equation can be written for the above reaction is:
2 Ag⁺ (aq) + 2 NO₃⁻ (aq) + Ca²⁺ (aq) + 2 Cl⁻ → 2 AgCl (s) + Ca²⁺ (aq) + 2NO₃⁻ (aq)
In the ionic equation, the calcium and nitrate ions appear unchanged on both sides of the equation. When we mix the two solutions, neither the calcium nor nitrate ions participate in the reaction. So calcium and nitrate ions can be eliminated from the ionic equation.
Ag⁺ (aq) + Cl⁻ (aq) → AgCl (s)
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A set of chemistry exam scores are normally distributed with a mean of 70 7070 points and a standard deviation of 5 55 points. What proportion of exam scores are between 68 6868 and 73 7373 points?.
The proportion of exams scores between 68 and 73 points is 38.09%.
We must first determine the z-score for both points.
The z-score formula is:
Z-score is equal to (x-mean)/SD.
Given that in this instance:
Mean = 70
SD = 5
So, for a 68-point exam grade:
(68 - 70) / 5 is the z-score.
= –2 / 5
= –0.4
And for a 73 point exam grade:
(73 - 70) / 5 is the z-score.
= 3 / 5
= 0.6
Thus, the likelihood:
P (68 < x < 73) = P (–0.4 < z < 0.6)
Through the z-table:
P (–0.4 < z < 0.6)
= (0.5 – 0.3446) + (0.7258 – 0.5) (0.7258 – 0.5)
= 0.3809
= 38.09%
As a result, 38.09% of exam scores fall between 68 and 73 points.
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