What is the vapor pressure (in kPa) of CH3OH, methanol, over a solution which is composed of 7.50 mL of methanol and 3.23 g of C6H5COOH, benzoic acid, at 25ºC ?Pº methanol at 25ºC = 16.915 kPaDensity of methanol is 0.792 g/mLMolar mass of benzoic acid is 122.12 g/mol

Answers

Answer 1

The vapor pressure of methanol over the solution is 16.51 kPa.

The vapor pressure of a solution depends on the vapor pressure of the pure solvent and the mole fraction of the solvent in the solution. Using Raoult's law, we can calculate the vapor pressure of methanol over the solution:

P = Xsolvent * Pºsolvent

where P is the vapor pressure of the solution, Xsolvent is the mole fraction of methanol in the solution, and Pºsolvent is the vapor pressure of pure methanol.

First, we need to calculate the mole fraction of methanol:

moles of CH3OH = volume of CH3OH x density of CH3OH / molar mass of CH3OH

= 5.00 mL x 0.792 g/mL / 32.04 g/mol

= 0.1236 mol

moles of C6H5COOH = mass of C6H5COOH / molar mass of C6H5COOH

= 1.68 g / 122.12 g/mol

= 0.0138 mol

total moles = moles of CH3OH + moles of C6H5COOH

= 0.1236 mol + 0.0138 mol

= 0.1374 mol

mole fraction of CH3OH = moles of CH3OH / total moles

= 0.1236 mol / 0.1374 mol

= 0.8998

Now we can calculate the vapor pressure of methanol over the solution:

P = Xsolvent * Pºsolvent

= 0.8998 * 16.915 kPa

= 16.51 kPa

Therefore, the vapor pressure of methanol over the solution is 16.51 kPa.

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Related Questions

Draw and label a diagram of an electron in an atom taking in energy from light and then dropping in energy and emitting light as a color.

Answers

The electron could be excited to a higher energy level and then returned to ground state as shown in the image attached.

What is the Bohr model?

According to the Bohr model of the atom, electrons are arranged in energy levels. The electrons that are in the lower energy levels then to absorb energy and move up to the excited states which are higher energy levels which is the crux of the model here.

Subsequently, the electron that was excited would drop down to the ground state and then loose the energy that was absorbed during excitation in the form of a visible light.

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Draw and label a diagram of an electron in an atom taking in energy from light and then dropping in energy

Fe(s) + O2(g) →Fe₂O3(s)

Answers

Answer:

4Fe(s) + 3O₂(g) = 2Fe₂O₃(s)

what is soluminescence? How does it work?​

Answers

Answer:

Sonoluminescence can occur when a sound wave of sufficient intensity induces a gaseous cavity within a liquid to collapse quickly. [...] The bubbles are very small when they emit the light—about 1 micrometer in diameter—depending on the ambient fluid (e.g., water) and the gas content of the bubble (e.g., atmospheric air).

Explanation:

Source is Google

CHCl3 has how many double bonds?

Answers

Answer:

It has two sigma bonds ( the single bonds between each H and C) plus one pi bond and one sigma bond that consitute the double bond between C and O. It contains three covalent bonds, one . Hydrogen Bond Donor Count: 0: Computed by Cactvs 3.4.

Explanation:

Hope it helps you!

For the following experiments, identify the independent variable and the dependent variable:
1. Does number of hours studying affect your score on the CAASP?

options

(A) IV: number of hours DV: score

(B) IV: score DV: number of hours

Answers

Answer:

A) IV: number of hours DV: score

Explanation:

Coz,

IV- is the variable that u change

DV- is the variable that u test or measure

In this case, we need to change the hours of studying to see how studying for different hours [1 hr, 2hr, etc (( Independant variable coz we're changing the no. of hours)) ] is going to affect the student's score, and in the end, we are measuring the score of each student [this is the dependant variable].

HELP!! ASAP!! 100POINTS granted

HELP!! ASAP!! 100POINTS granted

Answers

Answer:

Explanation:

Percentage by mass of Nitrogen: 47%

Molar mass of Nitrogen: 14

Portion of moles of Nitrogen: 47/14 = 3.36

Percentage by mass of Oxygen: 53%

Molar mass of Oxygen: 16

Portion of moles of Oxygen: 53/16 = 3.31

3.36 : 3.31 is approximately 1 : 1 so the empirical formula is:

A. NO

Answer:

u said 100 points not 50 u should hold up ur end of the deal

Explanation:

S + 6 HNO3 --> H2SO4 + 6 NO2 + 2 H2O

In the above equation how many moles of water can be made when 134.9 grams of HNO3 are consumed?

Round your answer to the nearest tenth. If you answer is a whole number like 4, report the answer as 4.0

Use the following molar masses. If you do not use these masses, the computer will mark your answer incorrect.:

Element

Molar Mass

Hydrogen

1

Nitrogen

14

Sulfur

32

Oxygen

16

Answers

According to the stoichiometry of the chemical reaction,0.713 moles of water can be made when 134.9 grams of HNO₃ are consumed.

What is stoichiometry?

It is the determination of proportions of elements or compounds in a chemical reaction. The related relations are based on law of conservation of mass and law of combining weights and volumes.

Stoichiometry is used in quantitative analysis for measuring concentrations of substances present in the sample.

378.24 g nitric acid gives 36 g water, thus 134.9 g nitric acid gives 134.9×36/378.24=12.83 g which is 12.83/18= 0.713 moles.

Thus,0.713 moles of water can be made when 134.9 grams of HNO₃ are consumed.

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Elaborate the difference between NO and No.
Responses
A NO and No both symbolize the molecule nitrogen monoxide - the capitalization doesn't matter.NO and No both symbolize the molecule nitrogen monoxide - the capitalization doesn't matter.
B NO and No represent neither a compound, a molecule, nor an element. Both are not possible.NO and No represent neither a compound, a molecule, nor an element. Both are not possible.
C NO represents the molecule nitrogen monoxide while No represents the molecule sodium oxide.NO represents the molecule nitrogen monoxide while No represents the molecule sodium oxide.
D NO is the molecule nitrogen monoxide while No is the atomic symbol for the element nobelium.

Answers

Answer:

D

Explanation:

NO is the molecule nitrogen monoxide while No is the atomic symbol for the element nobelium

Which statement does NOT correctly compare silicon with another element?

Answers

Answer:

i dont know

Explanation:

Answer:

Silicon conducts electricity as well as copper does.

Explanation:

you didn't gave any statements to choose the answer from.

but otherwise, what all I my knowledge says that Silicon conducts electricity as well as copper does.

When lithium metal reacts with fluorine gas it forms the ionic compound lithium fluoride (LiF). What is the correct electron configurations of the ions formed

Answers

Answer:

The electronic configuration of ions formed are:

Li+ (2) => 1s2

Cl- (18) => 1s2 2s2 2p6 3s2 3p6

Explanation:

Lithium metal, Li will lose 1 electron to lithium ion Li+. Chlorine atom, Cl will receive the 1 electron to form the chloride ion Cl- as shown by the following equation below:

Li —> Li+ + e

Cl+ e —> Cl-

Combine both equation

Li + Cl + e —> Li+ + Cl- + e

Cancel out 'e'

Li + Cl —> Li+ Cl-

Thus, we can write the electronic configuration for the reaction as follow:

Before reaction:

Li (3) => 1s2 2s1

Cl (17) => 1s2 2s2 2p6 3s2 3p5

After reaction

Li+ (2) => 1s2

Cl- (18) => 1s2 2s2 2p6 3s2 3p6

Therefore, the electronic configuration of the ions formed are:

Li+ (2) => 1s2

Cl- (18) => 1s2 2s2 2p6 3s2 3p6

How many isotopes does carbon and oxygen have?

Answers

Answer:

oxygen consists of 3 isotopes and carbon consists of 2 isotopes

Explanation:

oxygen: O16, O17 and O18

Carbon: C12 and C13

Which of the given mole ratios are possible for the salt formation equation? 2Na(s) + CI2(g) ⟶ 2NaCI(s)

A. Na:Cl2
B. 2Na:Cl2
C. Cl:2NaCl
D. Na2:NaCl
E. Cl2:2NaCl
F. 2Na:2Na

Answers

B. 2Na:Cl2

2 moles of sodium react with 1 mole of chlorine to generate 2 moles of sodium chloride.

5 moles of sodium will react with 2/51 =2.5 moles of chlorine to form 5.0 moles of NaCl.

Because 3.0 moles of chlorine are present, chlorine is an excess reagent.

What are the oxidising and reducing agents in the following redox 2 I cl2?

As a result, the Cl is the oxidising agent since it pushed the 2I to lose one electron while also gaining two electrons. 2I is the reducing agent.

Sodium is in the 0 oxidation state on the LHS and changes to +1 in the product, therefore it is oxidised. Hydrogen was +1 on the reactant side and goes to 0 oxidation state on the RHS, hence it is reduced.

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H₂O
Which of the following has metallic bonding?
F2
4
NaCl
Au

Answers

The following which has metallic bonding is Au and is therefore denoted as option D.

What is Metallic bonding?

This is referred to as a type of chemical bonding that arises from the electrostatic attractive force between conduction electrons and positively charged metal ions.

Gold is an element which engages in metallic bonding so long as it is bonding to other atoms of metallic elements of itself thereby making it the correct choice.

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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?

Answers

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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if 72 moles of hydrogen and 44 moles of oxygen are mixed at a temperature of 40C and 2 bar, then heated isobarically to 60C, what is the total entropy change for this process. the heat capacity of H2 is 29.2 joules per mole and O2 29.7 joules per mole. the mixture follows ideal mixing behaviours.

Answers

Main answer:ln(T2/T1) +ΔS°mix The change in entropy of the reaction (ΔS°) can be calculated by using the formula, ΔS°= ΔS°(products) - ΔS°(reactants).

Given; moles of hydrogen (H2)=72 moles of oxygen (O2)=44 moles of the mixture=n(H2) + n(O2)=72+44=116The initial temperature= 40°C = 313 KThe final temperature= 60°C = 333 KThe initial pressure= 2 barThe process is isobaric process where pressure is constant and therefore work done is zero.

From the ideal gas equation PV = nRT we can rearrange it to V = nRT/PThe volume of the mixture can be calculated as follows;V= nRT/P= (72 + 44) * 8.31 * 313 / (2 * 10^5)= 6.28 LThe final volume, V2 = 6.28LThe change in temperature is ΔT = 333 - 313 = 20 KThe change in entropy of the mixing process (ΔSmix) can be calculated using the formula;ΔSmix= -nR(xlnx + (1-x)ln(1-x))= -116*8.31[(72/116)ln(72/116)+(44/116)ln(44/116)]= 47.01 J/K.

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Which normal physiologic process contributes most to the need for acid-base balance?

Answers

C. Continuous metabolic production of free hydrogen ions

The processes of creating and breaking down glucose molecules are both examples of metabolic pathways. A metabolic pathway is a chain of related chemical reactions that feed each other. The pathway takes in a single or extra beginning molecule and, through a sequence of intermediates, converts them into merchandise.

Metabolism (stated: meh-TAB-uh-Liz-um) is the chemical reactions within the body's cells that alternate meals into power. Our bodies want this strength to do the entirety from moving to wondering to growing. particular proteins in the body manipulate the chemical reactions of metabolism.

A metabolic product is a compound produced via the cells and is excreted to the extracellular medium. it can be produced in the number one metabolism, e.g. carbon dioxide, ethanol, acetate, or lactate, or an extra complicated one, e.g. a secondary metabolite or a heterologous protein secreted to the extracellular medium.

The question is incomplete. Please read below to find the missing content.

Which normal physiologic process contributes most to the need for acid-base balance

A. Continuous organ production of bicarbonate from carbonic acid

B. Continuous alveolar exchange of oxygen and carbon dioxide

C. Continuous metabolic production of free hydrogen ions

D. Continuous kidney formation of urine from blood

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How many grams of oxygen would be needed to completely react with 254 g of tristearin, C57H110O6, by the following reaction:


2C57H110O6 + 163O2 114CO2 + 110H2O

Answers

You would need 740.1 grams of oxygen to completely react with 254 grams of tristearin, C₅₇H₁₁₀O₆, in the given reaction.

To find out how many grams of oxygen are needed to completely react with 254 g of tristearin, C₅₇H₁₁₀O₆, in the given reaction, follow these steps:

1. Calculate the molar mass of tristearin (C₅₇H₁₁₀O₆) and oxygen (O₂).
2. Convert grams of tristearin to moles using its molar mass.
3. Use stoichiometry to find the moles of oxygen needed.
4. Convert moles of oxygen to grams using its molar mass.

Molar mass of tristearin: (57 * 12.01) + (110 * 1.01) + (6 * 16.00) = 891.62 g/mol
Moles of tristearin: 254 g / 891.62 g/mol = 0.285 moles
Moles of oxygen needed: 0.285 moles * (163 O₂ / 2 C₅₇H₁₁₀O₆) = 23.16 moles
Molar mass of O₂: 2 * 16.00 = 32.00 g/mol
Grams of oxygen needed: 23.16 moles * 32.00 g/mol = 740.1 g

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what is the ph when 15 ml of .2 M NaOh is added to a buffer that contains 50 ml of a .25 M HCO2H and .3M NaCO2H

Answers

The answer cannot be determined without knowing the pKa value of HCO2H.

What is the pH when 15 ml of 0.2 M NaOH is added to a buffer containing 50 ml of 0.25 M HCO2H and 0.3 M NaCO2H?

To determine the pH when NaOH is added to a buffer containing HCO2H and NaCO2H, we need to consider the reaction between the base (NaOH) and the weak acid (HCO2H) in the buffer solution.

\(HCO2H + NaOH → HCO2Na + H2O\)

Volume of NaOH added (V1) = 15 mLConcentration of \(NaOH\)(C1) = 0.2 MVolume of the buffer solution (V2) = 50 mLConcentration of \(HCO2H\)(C2) = 0.25 MConcentration of \(NaCO2H\)(C3) = 0.3 M

First, we need to determine the moles of NaOH added:

Moles of \(NaOH\)= Volume of \(NaOH\)added (V1) × Concentration of \(NaOH\)(C1)Next, we need to determine the moles of \(HCO2H\)and \(NaCO2H\)in the buffer solution:Moles of \(HCO2H\)= Volume of buffer solution (V2) × Concentration of \(HCO2H\)(C2)Moles of \(NaCO2H\)= Volume of buffer solution (V2) × Concentration of \(NaCO2H\)(C3)

The total moles of the weak acid in the buffer solution will be the sum of moles of \(HCO2H\) and \(NaCO2H\).

Finally, we can calculate the concentrations of the acid and its conjugate base in the buffer solution, and use the Henderson-Hasselbalch equation to determine the pH:

\(pH = pKa + log([A-]/[HA])\)

where pKa is the acid dissociation constant of \(HCO2H\).

Given the concentration of \(HCO2H\) and \(NaCO2H\), we can calculate the moles of each component in the buffer solution, then determine their concentrations.

However, without the value of \(pKa\)for \(HCO2H\), we cannot accurately calculate the pH in this specific scenario.

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Match the terms with their definitions.

Tropical air masses


Polar air masses

1.
These air masses are warm and formed near the equator.

2.
These air masses are cold and formed near the north or south poles.

Answers

Tropical matches with 1
Polar matched with 2

Lance is a 60-kg runner who, on a good day, runs at a speed of 5 m/s. What is his kinetic energy when he runs at this speed? *

Answers

Answer:

His kinetic energy when he runs at that 5 m/s is 750 joules

Explanation:

The given information are;

The mass of, Lance, the runner = 60-kg

The speed by which Lance is running = 5 m/s

The kinetic energy, KE, is given by the relation;

KE = 1/2×m×v²

Where;

m = The mass = 60-kg

v = The instantaneous speed of motion = 5 m/s

The kinetic energy can be found by substituting the values of the variables in the kinetic energy equation as follows;

KE = 1/2 × 60 kg × (5 m/s)² = 750 joules

His kinetic energy when he runs at that 5 m/s is 750 joules.

The kinetic energy when he runs at that 5 m/s is 750 joules.

Given information are:-

The mass of, Lance, the runner = 60-kg

The speed by which Lance is running = 5 m/s

The kinetic energy, KE, is given by the relation;

\(Kinetic\ energy=\frac{1}{2} mv^{2}\)  

Where;

m = The mass = 60-kg

v = The instantaneous speed of motion = 5 m/s

The kinetic energy can be found by substituting the values in the kinetic energy equation as follows;

\(KE = 1/2 \times 60 kg\times (5\ m/s)^{2} \\= 750 joules\)  

His kinetic energy when he runs at that 5 m/s is 750 joules.

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Look at the following reaction:
2Al(s) + 3CuCl₂(aq) → 2AlCl3(aq) + 3Cu(s)
This is an example of what type of reaction?
O Single replacement
O Double replacement
ODecomposition
O Synthesis

Answers

Answer:

Single replacement

Explanation: Al is replacing Cu

The poh of a solution is 10. 75. What is the concentration of oh– ions in the solution? use. 3. 162 10–108 m 1. 778 10–11 m 1. 075 102 m 5. 623 1010 m.

Answers

Based on the pOH of the solution, the hydroxide ion concentration, [OH-] of the solution is 1.778 × 10^-11 M

The pOH of a solution-

The pOH of a solution is the negative logarithm to base ten of the hydroxide ions concentration of the solution.

pOH = -log[OH-]

The pOH of the solution = 10.75

[OH-] = 10^(-pOH)

Hydroxide ion concentration, [OH-] = 10^-10.75

Hydroxide ion concentration, [OH-] = 1.778 × 10^-11 M

Therefore, the hydroxide ion concentration, [OH-] of the solution is 1.778 × 10^-11 M

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Explain Newton's first law of motion. Write your answer in the essay box below.

Answers

Answer:

I hope this helps :D

Explanation:

Newton's first law expresses that each object  will stay very still or in uniform movement in an orderly fashion except if constrained to change its state by the activity of an outside power. ... The third law expresses that for each activity (power) in nature there is an equivalent and inverse response.

Newton's first law states that every object will remain at rest or in uniform motion in a straight line unless compelled to change its state by the action of an external force. This is normally taken as the definition of inertia. ... If that velocity is zero, then the object remains at rest.

methanol is made in large quantities as it is used in the production of polymers and infuels.the enthalpy of combustion of methanol can be determined theoretically or experimentally.

Answers

Methanol's combustion enthalpy can be calculated at -540 (kJ mol-1).

What is the purpose of methanol?

Methanol, the most basic form of alcohol (CH3OH), serves as the chemical basis for countless items used in daily life, such as paints, plastics, auto parts, and building supplies. Additionally, methanol is a renewable resource that powers fuel cells, boilers, cook stoves, ships, automobiles, trucks, and buses.

Briefing:

Energy required to dissociate the bonds connecting reactants

3 × 413 + 358 + 464 + 1.5 × 498 (kJ mol-1) / 2808 (kJ mol-1);

Total energy released when products form bonds

4 × 464 + 2 × 746 (kJ mol-1) / 3348 (kJ mol-1);

∆H = -540 (kJ mol-1).

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The complete question is -

Methanol is made in large quantities as it is used in the production of polymers and in fuels.

The enthalpy of combustion of methanol can be determined theoretically or experimentally.

CH₃OH(l) + 1 O₂(g) → CO₂(g) + 2H₂O(g)

Using the information from Table 10 of the Data Booklet, determine the theoretical enthalpy of combustion of methanol.

what are the economic uses of three common nonsilicate minerals?

Answers

Halite, gypsum, and graphite are the three names for the three common non-silica minerals. Plaster uses gypsum, common salt uses halite, and pencil lead once used graphite.

What is meant by non-silica mineral?Non-silicate minerals, as the phrase is used in chemistry, are classified as having no silicon-oxygen units, which are a silicate's defining feature. In the chemical chain of non-silicate minerals, oxygen typically occurs, although not in conjunction with silicon. Non-silicate minerals can generally be divided into a number of categories, including Carbonates, Oxides, Halides, Sulfides, Sulfates, Phosphates, and also Native Element Minerals. minerals that don't contain silicon (Si) or oxygen in the form of a tetrahedral structure. They consist of calcite, gypsum, flourite, hailte, and pyrite, among others. The mineral groups Oxides, Sulfides, Halides, and Phosphates are frequently found in non-silicate rocks.The great majority of the rocks in the Earth's crust are made of silicate minerals, also known as rock-forming minerals.

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How many valence electrons does magnesium(Mg) have?

Answers

Magnesium have two valence electrons. Because the outer energy level  for the magnesium atom is 3 and it has two electron in this energy level.

The Valence electrons are defined as the electrons that located in the outermost electron shell of an atom. These valence electrons being the furthest from the nucleus and thus the least tightly held by the atom are the electrons that participate in bonds and reactions. The number of valence electrons that an element has determines its reactivity, electronegativity and the number of bonds it can form. We can use the periodic table to help to determine how many valence electrons an element specifically a neutral atom of the element has. Looking at the group that the element is in as the group number indicates the number of valence electrons that the element has.

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Please help I’m timed !!!

Determine the percent dissociation of a 0.18 M solution of hypochlorous acid, HClO. The Ka for the acid is

3.5 x 10-8

Оа



Ос

Od

7.9' 10-3 %

4.4'10-2%

6.3' 10-9%

3.5' 10-6 %

Answers

Answer:

b. \(\% diss =4.4x10^{-2}\%\)

Explanation:

Hello there!

In this case, given the ionization reaction of HClO as weak acid:

\(HClO\rightleftharpoons H^++ClO^-\)

We can write the equilibrium expression as shown below:

\(Ka=3.5x10^{-8}=\frac{[H^+][ClO^-]}{[HClO]}\)

In such a way, via the definition of x as the reaction extent, we can write:

\(3.5x10^{-8}=\frac{x^2}{[HClO]}\)

As long as Ka<<<<1 so that the x on the bottom can be neglected. Thus, we solve for x as shown below:

\(x=\sqrt{3.5x10^{-8}*0.18} =\\\\x=7.94x10^{-5}M\)

And finally the percent dissociation:

\(\% diss=\frac{x}{[HClO]} *100\%\\\\\% diss=\frac{7.94x10^{-5}M}{0.18}*100\% \\\\\% diss =0.044\%=4.4x10^{-2}\%\)

Which is choice b.

Best regards!

1. What keeps a star from breaking apart ?

Answers

Answer: Stars are powered by nuclear fusion of hydrogen to form helium the outflow of energy provides pressure that is required to keep the star from “breaking” apart

NEED AN ANSWER FROM K12 MUST HAVE THE ANSWERS OR WILL GET REPORTED NO LINKS

How many laws of motion are there? (Newton's)


A. 3



B. 2



C. 1



D. 4



To which kinds of objects do Newton's laws of motion apply?


A. only objects rolling



B. only objects going down a hill



C. all objects



D. only objects flying





As a surfer is seen riding a wave toward the shoreline, what is the shoreline?



A. displacement reference



B. coordinate plane



C. Cartesian boundary



D. reference point




Which does not take the direction of the motion into account?


A. Distance



B. Displacement



C. velocity

Answers

Answer: A) 3 / C) all objects / D) reference point / C) velocity

Explanation: I did some research before answering, I hope this helps.

A****=3 so pick 3 pick3

Calculate the change in heat (Q) that occurs when 27.58grams of liquid water at 16°C heats to water vapor at 62°C. (cp = 4.184 J/g°C)

Answers

Answer:

5308.16J

Explanation:

Using the formula;

Q = m × cp × ∆T

Where;

Q = change in heat (J)

m = mass of substance (g)

cp = specific heat capacity (4.184 J/g°C)

∆T = change in temperature (°C)

According to the information given in this question;

Q = ?

m = 27.58 grams

cp = 4.184 J/g°C

∆T = 62°C - 16°C = 46°C

Using Q = m × cp × ∆T

Q = 27.58 × 4.184 × 46

Q = 5308.157

Q = 5308.16J

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3.8m of concrete is made into the shape of a cylinder.The base has radius 0.5 metres.Work out the height of the cylinder.0.5 m(2 Marks) rod is initially at rest on a rough horizontal surface. three forces are exerted on the rod with the magnitudes and directions shown in the figure. the force exerted in the center of the rod is an equidistant 0.5m from both ends of the rod. if friction between the rod and the table prevents the rod from rotating, what is the magnitude of the torque exerted on the rod about its center from frictional forces? 1. How do you tell the reactivity of a metal element?2. How do you tell the reactivity of a non-metal element?3. How do you tell the reactivity of a gas element? Brainstorming is a group process designed to stimulate thediscovery of new solutions to problems. Can you brainstormeffectively in a remote or hybrid environment? Discuss how you canrun a virtual b If a group of distinct objects can be arranged in 120 different ways, how many objects are there?A. 3B. 4C. 5D. 6 in your opinion, if we were not colonize what do you think will be our religion and why? Function A and Function B are linear functions.Function A Function BX Y3 119 2310 25Which statement is true?The y-value of Function A when x=-4 is greater than the y-value of Function B when x=-4.The y-value of Function A when x=-4 is less than the y-value of Function B when x=-4. What phenomena causes induced drag?A) The span wise flow, inward below the wing and outward above.B) Wing tanks.C) The increased pressure at the leading edge.D) Wing tip vortices. Prove that the conjecture is false by providing a counter example. are individuals or groups responsible for controlling the flow of proposals or solicitations to the decision maker _____ is the ability to recognize how your emotions affect your thoughts and behaviors A. instinct b. self awarenessc. aggressiveness d. extroversion can someone help me with this,thank you Who was it that paid for these voyages across the Middle Passage? Why stars are shows like twinkling in the skys!Reply please! how to calculate the net acceleration using the sum of centripetal acceleration and gravity? I have a question for my physics assignment and is based of an amusement part ride called The Claw, any help would be greatly appreciated. HELP ME ASP WHOEVER GETS IT CORRECT YOU WILL GET BRAINLEST!!! Read the excerpt from Julius Caesar, act 1, scene 2.[CASSIUS.] For once, upon a raw and gusty day,The troubled Tiber chafing with her shores,Said Caesar to me "Darest thou, Cassius, nowLeap in with me into this angry flood,110And swim to yonder point? Upon the word,Accoutred as I was, I plungd inAnd bade him follow. So indeed he did.The torrent roared, and we did buffet itWith lusty sinews, throwing it aside,115And stemming it with hearts of controversy.But ere we could arrive the point proposed,Caesar cried Help me, Cassius, or I sink!Which details should be included in a paraphrase of the passage? Select three options.Cassius retells the story of the river to show that Caesar was stronger than Cassius and other ordinary men. On a cold and windy day while the waves of the river beat upon the shores.Even though I was still dressed in armor, I jumped in on his dare and asked him to follow me.Caesar and Cassius argued about the river.Before we could reach our determined point, Caesar started to sink, and cried out to me for help. solve by factorisation 2x^2+3x-20=0 Find the indicated area under tho standard normal Gurve. To the right of z=0.03 Clck here to viev Rage 1 of the standard normal lable. Cick here to vew page 2 of the standard nomal takile. The area to the right of z=0.03 under the standard normal curve is (Round to four decimal places as neoded.) In Houston, Texas, at the spring equinox (March 21), there are 12 hours and 9 minutes of sunlight. The longest and shortest day of the year varies from the equinox by 1h 55 min . The amount of sunlight during the year can be modeled by a sine function.c. Write a function that relates the number of days away from the spring equinox to the variation in hours of sunlight in Houston.