To calculate the pH of a 1.60 M acetic acid solution, use the ionization constant (Ka) of acetic acid, set up an ICE table, and solve for x to find the concentration of the hydronium ion (H3O+). Then, calculate the pH using the equation pH = -log[H3O+]. The pH of the acetic acid solution is approximately 1.5873.
Explanation:To calculate the pH of a 1.60 M acetic acid solution, we can use the ionization constant (Ka) of acetic acid and the relationship between the concentration of the acid, its conjugate base, and the pH. The Ka value for acetic acid is 1.8×10-5. Since acetic acid is a weak acid, we can assume that the concentration of the hydronium ion (H3O+) is equal to the concentration of the acid that has ionized.
Using the equation Ka = [H3O+][C2H3O2]/[HC2H3O2], we can set up an ICE table to calculate the concentration of the hydronium ion:
Initial concentration: [H3O+] = unknown, [C2H3O2] = 0, [HC2H3O2] = 1.60 MChange in concentration: [H3O+] = -x, [C2H3O2] = x, [HC2H3O2] = -xEquilibrium concentration: [H3O+] = 1.60 - x, [C2H3O2] = x, [HC2H3O2] = 1.60 - xSubstituting these values into the Ka expression, we get 1.8×10-5 = (1.60 - x)(x)/(1.60 - x). Solving for x gives us x ≈ 0.0127 M. Since [H3O+] = 1.60 - x, the pH of the solution is approximately 1.60 - 0.0127 = 1.5873.
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The pH of a 1.60 M acetic acid solution can be calculated using the equilibrium constant expression and initial concentration. The pH is equal to -log[H3O+]. The pH of this particular solution is 2.37.
Explanation:The pH of a 1.60 M acetic acid solution can be calculated using the equation:
pH = -log[H3O+]
First, we need to find the concentration of the hydronium ion, [H3O+]. To do this, we use the equilibrium constant expression for acetic acid, which is Ka = [H3O+][CH3CO2-] / [CH3COOH]. With a given Ka value of 1.8 × 10-5 and a concentration of acetic acid of 1.60 M, we can plug in these values to find the concentration of [H3O+], which is then used to calculate the pH.
Therefore, the pH of a 1.60 M acetic acid solution is 2.37.
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A reconstituted solution containing 500 mg of ganciclovir in 20 ml of sterile water for injection is added to 500 ml of 5% dextrose in water. the infusion is to be administered over 2 hours. if the infusion set delivers 15 drops/ml, what should the flow rate be to administer the bag over the designated time interval?
If r⃗ =bt2i^+ct3j^, where b and c are positive constants, when does the velocity vector make an angle of 45.0∘ with the x- and y-axes?
The velocity vector for r⟶ = bt^2î + ct^3ï makes an angle of 45 degrees with the x- and y-axes when the time t equals 2b/(3c), found by setting the magnitudes of the x and y components of the velocity vector equal to each other.
Explanation:To determine when the velocity vector makes an angle of 45 degrees with the x- and y-axes for the given position vector r⟶ = bt^2î + ct^3ï, where b and c are positive constants, we first need to find the velocity vector by differentiating the position vector with respect to time.
The velocity vector v⟶ is given by: v⟶ = dr⟶/dt = 2btî + 3ct^2ï. An angle of 45 degrees between the velocity vector and the axes means the components along the x- and y-axes must be equal. This occurs when 2bt = 3ct^2, which simplifies to t = 2b/(3c). Therefore, the velocity vector makes a 45-degree angle with the axes at this specific time t.
A molecule in which the central atom has no lone pairs and forms four single bonds is said to have a ________ shape.
Answer: tetrahedral
Explanation:
Hybridization is calculated using the Lewis dot structures of all the compounds.
Formula used to calculate the number of atomic orbitals around central metal atom is:
Number of atomic orbitals around central metal atom = Number of bond pairs + Number of lone pairs
Bond pairs for a double bond and triple bond is taken as 1 only.
Given: Number of bond pairs = 4
Number of lone pairs = 0
If Number of atomic orbitals around central metal atom are 4 , the hybridization is [tex]sp^3[/tex] and electron domain geometry is tetrahedral.
Which of the following is not true regarding carbon? Carbon 12 is radioactive. Carbon can form long chains and rings. Carbon will bond with other carbon atoms. Carbon will readily bond with hydrogen and oxygen
Answer: Carbon 12 is radioactive
Explanation: Carbon has 3 isotopes out ofwhich carbon 12 isotope has high abundance and carbon 14 has least abundnace in nature.
Thus, Carbon 12 is not radioactive instead Carbon 14 is radioactive.
Carbon is the only element which has the highest ability to form long chains and rings with carbon atom itself. This property is known is CATENATION.
Although sulphur and phosphorus are also known to have the property of the catenation but the carbon has the highest ability.
Yes , carbon can easily and readily bond with hydrogen forming CH4 and the long series. And with oxygen it can form CO2 through covalent bonding.
The stomach lining is made up of deep muscular grooves. How do you think these structures help the stomach to break down food
"if the average global intake of vegetables is 2,300 calories per day, how many liters of water are needed to produce these vegetable calories"
The drawing shows sodium and chloride ions positioned at the corners of a cube that is part of the crystal structure of sodium chloride (common table salt). the edges of the cube are each 0.281 nm (1 nm = 1 nanometer = 10−9 m) in length. what is the value of the angle θ the in the drawing?
To solve for this problem, first we have to calculate for the diagonal or the hypotenuse on the bottom face of the cube. We can do this by using the hypotenuse formula. Since all sides are of equal lengths therefore:
c^2 = a^2 + b^2
a = b
c^2 = 2 a^2
where a = 0.281 nm therefore:
c^2 = 2 (0.281 nm)^2
c = 0.3974 nm
Now using the diagonal and the one vertical side of the cube which is still equivalent to a, we use the tan function to find for the angle θ.
tan θ = opposite side / adjacent side
tan θ = a / c
θ = tan^-1 (0.281 / 0.3974)
θ = 35.26°
Final answer:
The crystal structure of sodium chloride and the calculation of the force on a lithium ion in a NaCl crystal lattice involves applying Coulomb's law to consider contributions of electrostatic forces from neighboring ions.
Explanation:
The question concerns the crystal structure of sodium chloride (NaCl), commonly known as table salt, and involves calculating the force on a lithium ion in the crystal lattice with defects. The edges of the cube in the NaCl crystal are provided as 0.281 nm, which is the distance between neighboring ions, and it is given that the ions form a face-centered cubic (FCC) structure. To find the angle θ in the drawing, one would need a diagram to assess the geometry between the ions.
As for the force on the lithium ion, you would apply Coulomb's law to calculate the electrostatic force exerted on it by its neighboring charged ions. Each neighboring ion contributes a vector force, and the total force on the lithium ion is the vector sum of these individual forces.
Which product of the oxidation of ethanol causes many of the symptoms of the "morning-after hangover"?
The total bonding energy for the products of a reaction is 2535 kJ/mol and the bonding energy of the reactants is 1375 kJ/mol. Calculate the change in enthalpy, and classify the reaction as endothermic or exothermic.
Answer is: 1160 kJ/mol, endothermic.
the change in enthalpy = the total bonding energy for the products of a reaction - the bonding energy of the reactants.
the change in enthalpy = 2535 kJ/mol - 1375 kJ/mol.
the change in enthalpy = 1160 kJ/mol.
There are two types of reaction:
1) endothermic reaction (chemical reaction that absorbs more energy than it releases).
2) exothermic reaction (chemical reaction that releases more energy than it absorbs).
Radiocarbon measurements made in 1988 on the shroud of turin showed a decay rate of 14.2 disintegrations/min per gram of carbon. this is in comparison to the decay rate in the then current living organisms of 15.3 disintegrations/min per gram of carbon. given a half-life of 5730 years for carbon-14, what year is the artifact from?
What element is oxidized in the following reaction? Zn + CuSO4 yields ZnSO4 + Cu
An element is said to be oxidized when they chemically react with an oxygen atom. In the reaction between zinc and copper sulfate, the zinc element is said to be oxidized.
What is oxidation?In a redox reaction the atoms and molecules losses and gains electron to change their oxidation state by completely transferring their electrons to another atom in the reaction mixture.
Oxidation is the process of redox where the atom losses its electron which can be said as an increase in its oxidation number by giving away its electron or by the addition of oxygen.
The balanced reaction is given as,
Zn + CuSO₄ → ZnSO₄ + Cu
Here, the oxidation number of zinc changes from 0 to +2, and of copper from +2 to 0. It can be inferred that zinc got oxidized, while copper got reduced.
Therefore, in the reaction zinc got oxidized.
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Mary performs this calculation (3.0)(2.0) how many significant figures should her answer have?
Mary performs this calculation (3.0)(2.0). Her answer have two significant figure.
Hence, option B is correct answer.
What is Significant Figure ?Significant Figure is used to identify a number that is presented in the form of digits.
What are some rules for significant figures ?All the non-zero digits are significant. Example 186452 has six significant digit. Every zeros which occur between the any two non-zero digits are significant. Example 102.0065 has seven significant digits. Every zeros which are on right of a decimal point and left of a non-zero is never significant. Example 0.00654 has three significant digits. Every zero which are right of a number is significant. Example 5.0 has two significant digits.Mary perform this calculation (3.0) (2.0) and get the result 6.0 which has 2 significant digits.
Thus, from above conclusion we can say that Mary performs this calculation (3.0)(2.0). Her answer have two significant figure.
Hence, option B is correct answer.
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Write the balanced chemical equations for the complete combustion of acetic acid (ch3cooh), the main active ingredient in vinegar.
The balanced chemical equation for the complete combustion of acetic acid (CH3COOH) is CH3COOH(l) + 2 O2(g)
ightarrow 2 CO2(g) + 2 H2O(l), which indicates the complete conversion of acetic acid to carbon dioxide and water.
Balanced Chemical Equation for the Combustion of Acetic Acid
The complete combustion of acetic acid (CH3COOH) involves its reaction with oxygen (O2) to produce carbon dioxide (CO2) and water (H2O) as products. The balanced chemical equation is as follows:
CH3COOH(l) + 2 O2(g)
ightarrow 2 CO2(g) + 2 H2O(l)
This reaction shows the acetic acid undergoing complete combustion in the presence of excess oxygen, ensuring all carbon is converted to carbon dioxide and all hydrogen to water, with no other products formed.
Ionization of Acetic Acid
Additionally, acetic acid can ionize in solution:
CH3COOH(aq)
ightleftharpoons H+(aq) + CH3COO
-(aq)
Because acetic acid is a weak acid, this ionization is not complete, and an equilibrium is established, favoring the reactant side. This illustrates the weak acidic nature of acetic acid in an aqueous solution.
The chemical equation that is balanced to allow acetic acid to burn completely ([tex]CH_3COOH[/tex]) is [tex]\text{CH}_3\text{COOH} + 2 \text{O}_2 \rightarrow 2 \text{CO}_2 + 2 \text{H}_2\text{O}[/tex].
The complete combustion of acetic acid ([tex]CH_3COOH[/tex]), the main active ingredient in vinegar, can be represented by a balanced chemical equation. In combustion reactions, a compound reacts with oxygen ([tex]O_2[/tex]) to produce carbon dioxide ([tex]CO_2[/tex]) and water ([tex]H_2O[/tex]).
Step 1: Write the unbalanced equation[tex]\text{CH}_3\text{COOH} + \text{O}_2 \rightarrow \text{CO}_2 + \text{H}_2\text{O}[/tex]
Step 2: Balance the carbon atomsSince acetic acid contains two carbon atoms, we require two [tex]CO_2[/tex] molecules:
[tex]\text{CH}_3\text{COOH} + \text{O}_2 \rightarrow 2 \text{CO}_2 + \text{H}_2\text{O}[/tex]
Step 3: Balance the hydrogen atomsThere are 4 hydrogen atoms in acetic acid, so we need 2 [tex]H_2O[/tex] molecules:
[tex]\text{CH}_3\text{COOH} + \text{O}_2 \rightarrow 2 \text{CO}_2 + 2 \text{H}_2\text{O}[/tex]
Step 4: Balance the oxygen atomsOn the right side, there are 4 oxygen atoms in 2 [tex]CO_2[/tex] and 2 oxygen atoms in 2 [tex]H_2O[/tex], totaling 6 oxygen atoms. On the reactant side, we have 2 oxygen atoms in 1 acetic acid molecule and need 4 more from [tex]O_2[/tex], so we need 2 [tex]O_2[/tex] molecules:
[tex]\text{CH}_3\text{COOH} + 2 \text{O}_2 \rightarrow 2 \text{CO}_2 + 2 \text{H}_2\text{O}[/tex]
The final balanced equation is:
[tex]\text{CH}_3\text{COOH} + 2 \text{O}_2 \rightarrow 2 \text{CO}_2 + 2 \text{H}_2\text{O}[/tex]
How does fluorine (F) differ from iodine (I)?
In a combustion reaction, 46.0g of ethanol reacts with 96.0 g of oxygen to produce water and carbon dioxide. If 54.0 g of water is produced, what mass of carbon dioxide is produced?
Final answer:
The mass of carbon dioxide produced in the combustion reaction of ethanol with oxygen, given that 54.0 g of water is produced, is 88.0 g.
Explanation:
In a combustion reaction of ethanol (C₂H₅OH), which reacts with oxygen (O₂) to produce water (H₂O) and carbon dioxide (CO₂), the mass of carbon dioxide produced can be calculated using the law of conservation of mass. The balanced chemical equation for the combustion of ethanol is:
C₂H₅OH (l) + 3O₂ (g) → 2CO₂ (g) + 3H₂O (g)
Given 46.0 g of ethanol reacts with 96.0 g of oxygen, and 54.0 g of water is produced, we can deduce the mass of carbon dioxide. By the conservation of mass, the total mass of reactants must be equal to the total mass of products:
Mass of reactants = Mass of products
46.0 g (ethanol) + 96.0 g (oxygen) = Mass of water + Mass of carbon dioxide
142.0 g (total reactants) = 54.0 g (water) + Mass of carbon dioxide
Mass of carbon dioxide = 142.0 g - 54.0 g = 88.0 g of CO₂
Therefore, the mass of carbon dioxide produced in this reaction is 88.0 g.
improvements in which area would help reduce the possibility of damage to the environment when using uranium as a fuel?
Answer:
Improvements in the area of uranium extraction would contribute to reducing the possibility of environmental damage by using uranium as fuel.
Explanation:
Having a uranium rod as a nuclear fuel generating energy in a fission reactor is not simple, it is a complex and costly process since the uranium ore is extracted, generating in its different stages negative environmental impacts through waste and shipments of radioactive material.
Improvements in uranium extraction would significantly reduce the environmental impact of this process, mainly in water.
Have a nice day!
Which substance listed below is a polar molecule? all of the compounds nh41+ sicl4 cl2o none of the compounds?
Answer:
[tex]NH_4^+[/tex] and [tex]SiCl_4[/tex]
Explanation:
Hello,
In this case, in order to know whether a molecule is polar or not, the difference between the electronegativities of the bonding elements must be within the rank 0.7 and 1.6. In this manner, such difference is computed as follows for the given compounds:
- [tex]NH_4^+[/tex] --> [tex]\Delta E=3.0-2.1=0.9[/tex]
- [tex]SiCl_4[/tex] --> [tex]\Delta E=3.0-1.8=1.2[/tex]
- [tex]Cl_2O[/tex] --> [tex]\Delta E=3.5-3.0=0.5[/tex]
In such a way, both [tex]NH_4^+[/tex] and [tex]SiCl_4[/tex] are polar molecules unlike [tex]Cl_2O[/tex] which is apolar.
Best regards.
Among the provided options, Cl2O is the polar molecule due to an uneven distribution of electron charge resulting from the difference in electronegativity between Oxygen and Chlorine atoms.
Explanation:In the given list, Cl2O (Dichlorine monoxide) is the polar molecule. A molecule is polar when it has an uneven distribution of electron charge resulting in regions of partially positive and partially negative charges. In Cl2O, oxygen is more electronegative than chlorine thus the shared electrons are more attracted towards the oxygen atom, creating a dipole, and thus making the molecule polar.
Additional InformationSiCl4 (Silicon tetrachloride) is a nonpolar molecule because the four Chlorine (Cl) atoms are evenly distributed around the Silicon (Si) atom, ensuring a balanced charge. As for NH4^+ (Ammonium), it is an ion, not a molecule, so it is not eligible for being polar or nonpolar.
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A substance that decreases hand increases ph when it dissociates in water is called
Which answer provides the correct name for the following hydrocarbon?
Moving left to right: A hydrocarbon chain made of a methyl group (CH subscript three) single bond methylene (CH subscript two) single bond methylene (CH subscript two) single bond CH subscript two single bond methyl group (CH subscript three) .
It looks like: CH3 - CH2 - CH2 - CH2 - CH3
pentene
pentane
2-pentane
pentyne
Answer: Option (b) is the correct answer.
Explanation:
In the given molecule, there are five carbon atoms attached linearly to each other will single bonds only.
So, it is known that when a compound contains only carbon and hydrogen atoms attached single bondedly to each other then this type of hydrocarbon is known as alkane.
Their general formula is [tex]C_{n}H_{2n+2}[/tex], where n is the number of carbon atoms present. Suffine "ane" is added to the name of alkane.
Thus, we can conclude that name of the given hydrocarbon is pentane.
A solution that is 0.20 m in hcho2 and 0.15 m in nacho2 find ph
The pH of a buffer solution such as the one presented, made of a weak acid and its salt, is calculated using the Henderson-Hasselbalch equation. However, without the Ka value (acid dissociation constant) for the weak acid, the exact pH cannot be calculated.
Explanation:This question is relating to the concept of buffer solutions in chemistry, particularly the pH calculation of a buffer solution made from a weak acid (HCHO2) and its salt (NaCHO2). The pH of a buffer solution is calculated using the Henderson-Hasselbalch equation, which is pH = pKa + log ([A-]/[HA]). That said, the exact pH cannot be calculated without the given Ka (acid dissociation constant) value for HCHO2. However, with the PH and Ka values, one would substitute the values in the equation to obtain the final pH of the solution.
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To find the pH of a solution containing 0.20 M HCHO₂ and 0.15 M NaCHO₂, use the Henderson-Hasselbalch equation. Given the pKa of 3.75 for formic acid, the pH is calculated to be approximately 3.63.
Calculating the pH of a Solution Containing HCHO₂ and NaCHO₂
To determine the pH of a solution that is 0.20 M in HCHO₂ and 0.15 M in NaCHO₂, we can use the Henderson-Hasselbalch equation:
pH = pKa + log ([A⁻]/[HA])
For formic acid (HCOOH, also denoted as HCHO₂), the pKa is approximately 3.75.
Step-by-Step Calculation:
Identify the concentration of the acid (HCHO₂) and its conjugate base (CHO₂⁻, provided by NaCHO₂).
Substitute the values into the Henderson-Hasselbalch equation:
Given: [HCHO₂] = 0.20 M, [NaCHO₂] = 0.15 M, pKa = 3.75
pH = 3.75 + log (0.15 / 0.20)
3. Calculate the log term:
log (0.15 / 0.20) = log (0.75) ≈ -0.125
4. Add the terms together:
pH = 3.75 - 0.125 = 3.625
Therefore, the pH of the solution is approximately 3.63.
Which of the following metals is the most stable?
A. Potassium
B. Zinc
C. Silver
D. Gold
Answer:
gold
Explanation:
Among the options listed, gold is the most stable metal. It's resistant to oxidation and corrosion, unlike the other metals. This is why it's often found in its native form and used for various purposes.
Explanation:The stability of a metal is determined by its resistance to oxidation or corrosion, and by this standard, gold (option D) is the most stable metal among those listed. Gold does not easily react with other substances in the environment, making it highly resistant to corrosion and oxidation. This property is why gold is often found in its native form in nature, not combined with other elements, and why it's used for jewelry and in various industrial applications.
On the other hand, metals like potassium (option A) are highly reactive, readily oxidizing in air or reacting violently with water. Zinc (option B) and silver (option C) are less reactive than potassium, but still more reactive compared to gold.
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How many kilowatt-hours of electricity are used to produce 4.50 kg of magnesium in the electrolysis of molten mgcl2 with an applied emf of 5.00 v?
The kilowatt-hours of electricity are used to produce 4.50 kg of magnesium in the electrolysis of molten MgCl₂ with an applied emf of 5.00 v is 49.63 kW-h. It can be find by knowing the half reaction of magnesium.
What is Half Reaction ?A half reaction is either the oxidation or reduction reaction component of a redox reaction.
Let's determine the half reaction of magnesium ;
Mg²⁺ + 2e- => Mg
Given the mass of magnesium metal that is produced, we calculate the total charge of the electrolysis by the relations we can get from the half reaction. We do as follows :
4.50 kg Mg ( 1000 g / 1 kg ) ( 1 mol / 24.305 g ) ( 2 mol e- / 1 mol Mg ) (96500 C / 1 mol e-) = 35733388.2 C
We are given the applied EMF in units of V. This value is equal to J/C. So, 5 V is equal to 5 J/C.
35733388.2 C (5 J/C) = 178666941 J
178666941 J ( 1 kW-h / 3.6x10^6 J ) = 49.63 kW-h
Hence, The kilowatt-hours of electricity are used to produce 4.50 kg of magnesium in the electrolysis of molten MgCl₂ with an applied emf of 5.00 v is 49.63 kW-h.
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Calculate the vapor pressure of water above a solution prepared by dissolving 28.5 g of glycerin (c3h8o3) in 135 g of water at 343 k. (the vapor pressure of water at 343 k is 233.7 torr.)
The vapor pressure of water above a solution prepared by dissolving glycerin in water at 343K is equal to the vapor pressure of pure water at the same temperature, which is 233.7 Torr, as glycerin is nonvolatile.
Explanation:In this problem, we're asked to calculate the vapor pressure of water above a solution of glycerin in water. The key concept here is Raoult's Law, which states that the vapor pressure of a solvent above a solution (in this case water) is directly proportional to the mole fraction of that solvent in the solution.
Glycerin (C3H8O3) is essentially nonvolatile, meaning it does not contribute to the vapor pressure. Therefore, the vapor pressure of the solvent (water) is not altered by the addition of the glycerin. Essentially, the vapor pressure of the water in the solution is the same as the vapor pressure of pure water at the same temperature.
The given vapor pressure of pure water at 343 K is 233.7 Torr. Hence, the vapor pressure of water above the solution prepared by dissolving 28.5 g of glycerin in 135 g of water at the same temperature is also 233.7 Torr.
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The vapor pressure of water above a solution containing 28.5 g of glycerin and 135 g of water at 343 K is calculated using Raoult's Law. The resulting vapor pressure is 224.352 torr.
Calculation of Vapor Pressure
To calculate the vapor pressure of water above a solution containing 28.5 g of glycerin ([tex]C_3H_8O_3[/tex]) and 135 g of water at 343 K, we use Raoult's Law.
Molar mass of glycerin ([tex]C_3H_8O_3[/tex]) = 3(12.01) + 8(1.008) + 3(16.00) = 92.094 g/mol
Moles of glycerin =
28.5 g / 92.094 g/mol = 0.309 moles
Molar mass of water (H2O) = 2(1.008) + 16.00 = 18.016 g/mol
Moles of water =
135 g / 18.016 g/mol = 7.495 moles
Mole fraction of water ([tex]X_{water[/tex]) = moles of water / (moles of water + moles of glycerin)
[tex]X_{water[/tex] = 7.495 moles / (7.495 + 0.309) = 0.960
Use Raoult's Law to find the vapor pressure of the solution.Raoult's Law:
[tex]P_{solution[/tex]= [tex]X_{water[/tex]* [tex]P_{water[/tex]
[tex]P_{solution[/tex]= 0.960 * 233.7 torr = 224.352 torr
Therefore, the vapor pressure of water above the solution at 343 K is 224.352 torr.
Which sentence correctly sequences the underlined verbs? We will not receive the final pieces that we needed to complete the collection. We will not receive the final pieces that we had needed to complete the collection. We have not received the final pieces that we will need to complete the collection.
The sentence that correctly sequences the underlined verbs is: "We have not received the final pieces that we will need to complete the collection."
A verb is a word that expresses an action, occurrence, or state of being.
This sentence correctly uses the present perfect tense ("have not received") to indicate that the action of receiving the final pieces is still ongoing, and it uses the future tense ("will need") to indicate that the pieces are necessary for a future action (completing the collection).
Therefore, "We have not received the final pieces that we will need to complete the collection." is the sentence that correctly sequence the underlined verb.
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Calculate the mass of two moles of kbr
According to the transparency how is nitrogen returned to the atmosphere
What is the coefficient for the oxygen molecule in the chemical equation below? 2hgo → 2hg + ? o2?
What reaction shows one element taking the place of another in a compound?
Which of the following would have the highest viscosity? water honey salad oil alcohol
What is the molecular weight of one mole of H2CO3? g/mole
Answer:
The answer to the question is 62.026.