For 0.3 hours, karen drove east st a constant velocity. In this time , she drove 30 kilometers. What was her velocity.

Answers

Answer 1

Karen drove 0.3 hours to the east at constant velocity for 30 km. The velocity of Karen when she drove towards east is 100 km/ h.

What is velocity?

Velocity is defined as a direction of movement of the body or the object.

It is a vector quantity. It is the rate of change of distance and rate of change of displacement.

It is a fundamental concept in kinematic, the branch of classical mechanics that describes the motion of body.

Velocity can be expressed as

Velocity = distance / time

              = 30km / 0.3 h

              = 100 km/h

Thus, the velocity of Karen when she drove towards east is 100 km/ h.

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Related Questions

What’s the balanced equation of sodium bicarbonate reacting with citric acid?

Answers

Answer:

The reaction of citric acid and sodium bicarbonate is written as H_3C_6H_5O_7(aq) + 3 NaHCO_3(aq)

Explanation:

20 POINTS!! WIL GIVE BRAINLEST

1 pargarph about scientific experimentation

Answers

Scientific experimentation to provide the basis for scientific knowledge

A scientific experiment is any process in which measurements are used and tests are carried out to verify or refute a hypothesis and the hypothesis is a proposition that appears to be true, but has not yet been corroborated, and from which an investigation can be developed and experiment plays many roles in science and one of its important roles is to test theories and to provide the basis for scientific knowledge and it can also call for a new theory, either by showing that an accepted theory is incorrect, or by exhibiting a new phenomenon that is in need

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How many atoms are there in 4.13 moles of P4O10?

Answers

Multiply number of moles by Avogadro’s number (6.022x10^23) to get atoms so —>
4.13 mol x (6.022x10^23) = 2.49x10^24 atoms (which typically isn’t written with a unit) so just 2.49x10^24

Calculate the molarity of the two solutions.

The first solution contains 0.450 mol of NaOH in 2.75 L of solution.
The second solution contains 15.1 g of NaCl in 749 mL of solution.

Answers

1) The Molarity of first solution is 0.163 M

2) The molarity of second solution is 0.344 M

1) Molarity is defined as the no. of moles of solute per liter solution.

First solution contains 0.450 mol of NaOH in 2.75 L of solution.

M = n / V

where , n= no, of moles of solute

V  = volume of solution in liter

no. of moles of solute = 0.450 mol

M =  0.450 / 2.75 = 0.163 M

Molarity = 0.163 M

2) Th second solution contains 15.1 g of NaCl in 749 ml of solution.

moles = mass / molar mass

          =  15.1 g / 58.44 g/mol

          =  0.258 mols

volume = 749 ml = 0.749 L

M =  0.258 / 0.749

    = 0.344 M

Molarity = 0.344M

Thus, 1) The Molarity of first solution is 0.163 M

2) The molarity of second solution is 0.344 M

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*Is gold an element, compound, or mixture?


Question 3 options:

element


mixture


compound

Answers

Answer:

Gold is an element

Explanation:

Elements are only 1 atom

Mixtures can be multiple atoms or compounds, but not chemically bonded

Compounds are atoms chemically bonded together

When aluminum metal reacts with iron(III) oxide to form aluminum oxide and iron metal, 429.6 kJ of heat are given off for each mole of aluminum metal consumed, under constant pressure and standard conditions. What is the correct value for the standard enthalpy of reaction in the thermochemical equation below? 2 Al(s) + Fe2O3(s) → 2 Fe(s) + Al2O3(s)

Answers

The standard enthalpy of reaction in the thermochemical equation:

2 Al(s) + Fe₂O₃ (s) → 2 Fe(s) + Al₂O₃ (s) is  859.3 kJ/mol

What is the enthalpy of a reaction?

The enthalpy of a given reaction is the amount of heat given off or absorbed when reactants react to form products in that reaction.

A reaction having negative enthalpy change indicates that heat is given off in the  reaction and the reaction is said to be exothermic.

A reaction having positive enthalpy change indicates that heat is absorbed in the  reaction and the reaction is said to be endothermic.

The amount of heat given off or the enthalpy change when one mole of aluminum metal completely reacts with iron(III) oxide to form aluminum oxide and iron metal is 429.6 kJ of heat.

The correct value for the standard enthalpy of reaction in the thermochemical equation below is determined as follows:

2 Al(s) + Fe₂O₃ (s) → 2 Fe(s) + Al₂O₃ (s)

According to the equation of the reaction,  two moles of aluminum reacts completely with iron(III) oxide to form aluminum oxide and iron metal.

The standard enthalpy of reaction = 429.6 kJ/mol * 2

The standard enthalpy of reaction = 859.3 kJ/mol

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Consider a monatomic ion that has a charge of 1+ and the electron configuration of [Kr]4d105s2.

Answers

The ion is the indium ion. There are no unpaired electrons in the ground state of this ion.

What is electronic configuration?

Electronic configuration can be described as the arrangement of electrons in orbitals around an atomic nucleus.

The electron configuration of atoms shows the arrangement of the electrons of the atom in specific atomic orbitals. The electron configuration of the atom can be used to identify the atom or the ion.

Indium forms the ion with a charge of +1 after the removal of one electron from the 5p orbital. This results in an electron configuration of  [Kr]4d105s2 where all subshells are fully filled.

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Match the Isotopes to their uses. Drag the items on the left to the correct location on the right.
chlorine-36
uranlum-238
carbon-14
cobalt-60
dating bones
dating groundwater
killing cancerous cells
analyzing rocks

Answers

Radioisotopes like Chlorine-36 is used for dating groundwater, Uranium-238 is used for analyzing rocks, Carbon-14 is used for dating bones whereas Cobalt-60 is used in killing cancerous cells.

The radionuclides of a heavy element are known as radioisotopes. They are atoms that have an unstable mix of protons and neutrons. In their nucleus, there is excess energy.

Some elements could have one or more unstable isotopes. These unstable isotopes cause gamma rays and the Alpha particles they release to decay.

Radioactive isotopes or radioisotopes are isotopes that are unstable owing to the presence of additional neutrons in their nuclei and produce different forms of radiation.

For instance: Uranium-238, Cobalt-60, Carbon-14, and Chlorine-36

Use of Radioisotopes:

(i) Cancer patients receive therapy using them.

(ii) They are used to evaluate rock formations

(iii) To date groundwater

(iv) To date bones

(v) Medical professionals utilize radioactive isotopes as "tracers" to find malignancies and blood clots in patients.

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A length of copper wire has a mass of 5.97 g. How many moles of copper are in the wire?

Answers

Answer:

0.0939 moles Cu

Explanation:

To find the amount of copper in moles, you need to multiply the given mass (g) by the atomic mass (g/mol) of copper. The atomic mass is a ratio which represents the mass of copper per every 1 mole. The ratio should be arranged in a way that allows for the cancellation of units (grams should be in the denominator to cancel the units of the starting mass). The final answer should have 3 sig figs like the given value (5.97 g = 3 sig figs).

Atomic Mass (Cu): 63.546 g/mol

 5.97 g Cu            1 mole
------------------  x  ------------------  =  0.0939 moles Cu
                            63.546 g

Zinc has a work function (Φ) of 4.30 eV. What is the longest wavelength of light, in nm, that will cause the ejection of electrons? (1 eV=1.6 × 10⁻¹⁹ J)

Answers

Zinc has work function (Φ) of 4.3 eV. The longest wavelength of the light is 2.885nm.

What is work function?

In solid-state physics, work function (sometimes spelled work function) is the minimum thermodynamic work (i.e., energy) needed to remove an electron from a solid to a point in the vacuum immediately outside the solid surface. Here "immediately" means that the final electron position is far from the surface on atomic scale, but still too close to the solid to be influenced by ambient electric fields in the vacuum.

The work function is not a characteristic of a bulk material, but rather a property of the surface of material (depending on crystal face and contamination).

The work function refers to removal of an electron to a position that is far enough from the surface (many nm) that the force between electron and its image charge in the surface can be neglected. The electron must also be close to the surface compared to the nearest edge of a crystal facet, or to any other change in surface structure, such as a change in material composition, surface coating or reconstruction. The built-in electric field that results from these structures, and any other ambient electric field present in vacuum, are excluded in defining the work function.

From the question we are told that,

The work function of Zinc is  [tex]W=4.3eV[/tex]

Generally, work function can be mathematically represented as

[tex]E_{o} = \frac{hc}{ λ long}[/tex]

⇒[tex]λ long=\frac{hc}{E_{o} }[/tex]

Here  h is Planck constant with the value h= [tex]4.1357*10^{-15} eV[/tex]*

and c is the speed of the light with value  c= [tex]3.0*10^{8}m/s[/tex]

So,

⇒λ[tex]_{long}[/tex] = [tex]\frac{4.1357*10^{-15}*3*10^{8} }{4.3}[/tex]

       = [tex]2.885*10^{-7}[/tex]m

        = 2.885nm

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6 Describe What types of atoms release nuclear
radiation?

Answers

Answer:

isotopes of elements with unstable nucleus releases nuclear radiation. generally the instability is related to the neutron to proton ratio in the nucleus of an atom

A physical change produces a new element, a chemical change results from breaking bonds between atoms. A physical change results in a new compound being formed; a chemical change results in the formation of a new element. A physical change results in a new compound being formed; a chemical change results in the formation of a new element. A physical change results in a new substance being formed, which is different than what results from a chemical change. A physical change results in a new substance being formed, which is different than what results from a chemical change. A physical change is a change from one state of matter to another; a chemical change results in the formation of a new substance.

Answers

A physical change is a change from one state of matter to another; a chemical change results in the formation of a new substance.

What is Physical and Chemical change ?

Examples of physical changes include changes in the composition or size of materials. Physical changes include changes from one state to another, for as going from a solid to a liquid or a liquid to a gas. Some of the processes that result in physical changes are cutting, bending, dissolving, freezing, boiling, and melting.

Chemical changes are those in which one or more new compounds are created. A chemical reaction is another name for a chemical change. Examples include the burning of any substance and the corrosion of iron.

Chemical synthesis, or, alternatively, chemical breakdown into two or more separate molecules, occurs when one material reacts with another to create a new substance. These processes are referred to as chemical reactions, and they are typically irreversible barring additional chemical reactions.

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How much work (in J ) is involved in a chemical reaction if the volume decreases from 4.00 to 1.34 L against a constant pressure of 0.879 atm ?

Answers

The amount of work involved in a chemical reaction is 236.9 J.

What is work done against a constant pressure?

The energy required to move a system or body or anything against a force or external pressure is called work.

The amount of work involved in a chemical reaction if the volume decreases from 4.00 to 1.34 L against a constant pressure of 0.879 atm  is calculated as follows;

W = PΔV

where;

ΔV is change in volumeP is the external pressure

W = 0.879atm (4L - 1.34L)

W = 2.338 atm.L

1 atm.L = 101.325 J

2.338 atm.L = ?

= 236.9 J

Thus, the amount of work involved in a chemical reaction is 236.9 J.

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A carbon dioxide laser produces radiation of wavelength 10.6 mm. Calculate the energy of one photon produced by this laser. If the laser produces about one joule of energy per pulse, how many photons are produced per pulse?

Answers

5.65⋅10∧17 photons is the energy of one photon produced by this laser

E=3.716⋅10−19J

How do you determine a photon's energy?

There are two methods for calculating a photon's energy: The equation E = h f can be used if we are aware of the photon's frequency. This equation, which is often referred to as Planck's equation, was created by Max Planck. The equation E = h c may be used to determine a photon's energy if its wavelength is known.

In the standard model of particle physics, the photon is a fundamental particle. It has no discernible wavelength. The table describes it as a point particle with mass 0 and spin 1.

Laser light is monochromatic, which is a key distinction between it and light produced by white light sources (like a lightbulb).

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Use the model of a molecule to answer the question. H H | | H-C-C-0-H | H H How many atoms of carbon does this molecule have? († point) O 4 atoms O 6 atoms O 1 atom O 2 atoms​

Answers

A sample of the male sex hormone testosterone C₁₉H₂₈O₂, contains 3.58 × 10²¹ atoms of hydrogen. It contain 2.42 × 10²¹ carbon atoms.

How to find the number of moles ?

To find the number of moles use this formula

Number of moles = Number of atoms / Avogadro's Number

Here,

Number of atoms = 3.58 × 10²¹

Avogadro's Number = 6.022 × 10²³

Now, put the values in above formula we get

Number of moles = Number of atoms / Avogadro's Number

                             =  3.58 × 10²¹ / 6.022 × 10²³

                             = 5.94 × 10⁻³

1 mol testosterone C₁₉H₂₈O₂ contains 28 mole of hydrogen atoms

Now, 5.94 × 10⁻³ moles contains = (1/28) × 5.94 × 10⁻³

                                                      = 2.12 × 10⁻⁴ mol

How to find the number of atoms ?

To find the number of atoms use this formula

Number of atoms = Number of moles × Avogadro's Number

Here,

1 mol testosterone C₁₉H₂₈O₂ contains 19 mole of carbon atoms

Number of moles = 19 moles

Avogadro's Number = 6.022 × 10²³

Now put the value in above formula we get

Number of atoms = Number of moles × Avogadro's Number

                              = 19 ×  6.022 × 10²³

                              = 1.14 × 10²⁵

Now the no. of C-atoms =  1.14 × 10²⁵ × 2.12 × 10⁻⁴ mol

                                        = 2.42 × 10²¹ carbon atoms.

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Note: The given question is incomplete on the portal here is the complete question.

Question: A sample of the male sex hormone testosterone C₁₉H₂₈O₂, contains 3.58 × 10²¹ atoms of hydrogen. How many carbon atoms does it contain ?

describe how matter behaves when it changes into another kind of matter

Answers

Answer:Adding or removing energy from matter causes a physical change as matter moves from one state to another. For example, adding thermal energy (heat) to liquid water causes it to become steam or vapor (a gas). And removing energy from liquid water causes it to become ice (a solid)

Explanation:

Assertion: In electrolysis of water, the volume of hydrogen liberated is twice the volume of oxygen
formed.
Reason: Water has hydrogen and oxygen in the ratio 1:2 by volume.
O

Answers

The reason as given that; "water has hydrogen and oxygen in the ratio 1:2 by volume" given is true for the assertion.

What is electrolysis?

The term electrolysis has to do with the a process in which there is the decomposition of a substance by the passage of direct current through it. The direct current is often obtained from a battery or any other source that could yield the direct current.

Water is composed of hydrogen and oxygen. There are two atoms of hydrogen and one atom of oxygen in water. This is why we say that water has a ratio of 2:1 of hydrogen to oxygen.

Having explained all of these, it is a the reason given is true for the assertion.

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The chemical formula for hydrogen bromide is HBr.
A chemist determined by measurements that 0.0600 moles of hydrogen comide participate in a chemical reaction. Calculate the mass of
hydrogen bromide that participates.
Round your answer to 3 significant digits.
08
X
5

Answers

Answer:

4.85 grams HBr

Explanation:

To find the mass of hydrogen bromide (HBr), you need to multiply the given moles by the molar mass. The molar mass of HBr is a ratio which compares the mass (g) of HBr per every 1 mole. It is important to arrange the ratio in a way that allows for the cancellation of units (moles should be in the denominator).

Molar Mass (HBr): 1.008 g/mol + 79.904 g/mol

Molar Mass (HBr): 80.912 g/mol

0.0600 moles HBr            80.912 g
------------------------------  x  --------------------  =  4.85 grams HBr
                                             1 mole

Compare a nuclear reaction such as uranium‘s alpha particle emission with a non-nuclear reaction such as the reaction of sodium with Chlorine. What’s the fundamental difference between these two types of reactions?

Answers

Nuclear reactions such as that of uranium alpha particle involves a change in an atom's nucleus and produces a different element.

Non-nuclear reactions such as reaction of sodium with chlorine on the other hand, involve only a rearrangement of electrons and do not involve changes in the nuclei.

What is a nuclear reaction?

A nuclear reaction is a process in which two nuclei, or a nucleus and an external subatomic particle, collide to produce one or more new nuclides.

There are some differences between a nuclear reaction and a non nuclear reaction.

Nuclear reactions involve a change in an atom's nucleus, usually producing a different element. Non nuclear reactions, on the opposite end involve only a rearrangement of electrons and do not involve changes in the nuclei.

In conclusion, nuclear reaction are processes in which one or more nuclides are produced from a collision between two nuclei or one nucleus and a subatomic particle.

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Vitterbium has a mass number of 173 and an atomic number of 70... How many neutrons are in
Vitterbium?

Answers

103 Neutrons. You take the Mass rounded and subtract it with the atomic #

describe how matter behaves when it changes into another kind of matter
16 LETTERS ONLY

Answers

Answer:

Matter either loses or absorbs energy when it changes from one state to another. For example, when matter changes from a liquid to a solid, it loses energy

Which of the following would have the strongest ion-dipole interaction with water? Explain.
T13+
Cd²+
Na+

Answers

The strongest ion-dipole interaction with water is T13+ than Cd²+ than Na+.

What is ion dipole interaction?

An ion-dipole interaction is defined as the intermolecular force of attraction present between the charged ion (anion or cation) and the molecule. It is mainly found in the solution where the ionic compounds dissolved in the polar solvents.

The strength of ion-dipole interactions is mainly dependent on the distance and the charge. Ionic charge goes on increasing moving across a period on the periodic table.

Since, charge on Ti is 3 and greater than Cd which is greater than Na.

Thus, we concluded that the strongest ion-dipole interaction with water is T13+ than Cd²+ than Na+.

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What is the frequency (in reciprocal seconds) of electromagnetic radiation with a wavelength of 1.15 cm? ​

Answers

The frequency (in reciprocal seconds) of electromagnetic radiation with a wavelength of 1.15 cm is 0.005x[tex]10^{-8}[/tex]Hz.

What do you mean by frequency?

The frequency of a repeated event is its number of the instances per unit of time. In some cases, it is also referred to as the temporal frequency or ordinary frequency to underline the differences with spatial and angular frequencies, respectively. One (event) per second is equal to the one hertz (Hz), which is how frequency is stated. The period is the reciprocal of frequency since it is the length of time for one cycle in a repeating occurrence.

The temporal rate of change observed in oscillatory and periodic phenomena, such as mechanical vibrations, audio signals (sound), radio waves, and light, is specified by frequency, an essential parameter in science and engineering.

The main formula is

L = V / F so F= V/L

L= wavelength = 1.15 cm=0.015m

V= speed of the light=3 x [tex]10^{8}[/tex] m/s

finally,

F= 0.015/3x10^8=0.005 x[tex]10^{-8}[/tex] Hz

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Genetic diversity is the variation in the genes of an entire species. Each circle represents a population of a particular species in different habitats. Select the population with maximum genetic diversity.

Answers

The second circle has the greatest number of species diversity .

What is genetic diversity?

The term genetic diversity has to do with the existence of different species in a habitat. We know that due to natural selection, only the organisms that have traits that enable them to survive longer and reproduce are better adapted in the ecosystem. Thus, other species may begin to dwindle and even disappear in the ecosystem.

Genetic diversity ensures that there are different species in the habitat. In each circle, we see that the colors represent the different species of the organisms in the habitat. The habitat with the most number of different colors is the habitat that has the greatest magnitude of species diversity.

Hence, the second circle has the greatest number of species diversity as indicated in the image attached to this answer.

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Four tenets of the kmt

Answers

The kinetic theory of matter states that all matter is made up of minute particles with space in between them that move randomly. The theory is based on the fact that matter is composed of small particles.

What are the hypothesis on which KMT is based on?

Based on the atoms of an ideal gas, KMT has five hypotheses:

1. Gases are made up of several molecules moving randomly and constantly in linear motion.

2. The volume of all the molecules is dwarfed by the volume of the gas as a whole.

3. Intermolecular forces are negligible.

4. The average kinetic energy of every molecule in the gas stays constant as long as the temperature stays constant. Molecular collisions are therefore entirely elastic.

5. The average kinetic energy of all molecules in a gas depends on its absolute temperature. This shows that at any temperature, gas molecules in equilibrium have the same average kinetic energy (but NOT the same velocity and mass).

What components make up the kinetic-molecular theory?

The kinetic-molecular theory, a theory that characterizes the states of matter, is based on the presumption that matter is composed of small particles that are constantly in motion. The theory clarifies observed properties and behaviors of gases, liquids, and solids.

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(22 POINTS) WILL GIVE BRAINLEST, HELPPP!!!

write 2 pargarphs about matter

Answers

Answer:

What is matter? Matter is everything around you. Atoms and compounds are all made of very small parts of matter. Those atoms go on to build the things you see and touch every day. Matter is defined as anything that has mass and takes up space (it has volume).

What is mass? Mass is the amount of matter in an object. You might have a small object with a lot of mass such as a statue made of lead (Pb). You might have a large object with very little mass such as a balloon filled with helium (He). You should also know there is a difference between mass and weight. Mass is a measure of the matter in an object while weight is a measure of gravity’s pull on an object.

In physics, a state of matter is one of the distinct forms in which matter can exist. Four states of matter are observable in everyday life: solid, liquid, gas, and plasma. Many intermediate states are known to exist, such as liquid crystal, and some states only exist under extreme conditions, such as Bose–Einstein condensates (in extreme cold), neutron-degenerate matter (in extreme density), and quark–gluon plasma (at extremely high energy). For a complete list of all exotic states of matter, see the list of states of matter.

Historically, the distinction is made based on qualitative differences in properties. Matter in the solid state maintains a fixed volume and shape, with component particles (atoms, molecules or ions) close together and fixed into place. Matter in the liquid state maintains a fixed volume, but has a variable shape that adapts to fit its container. Its particles are still close together but move freely. Matter in the gaseous state has both variable volume and shape, adapting both to fit its container. Its particles are neither close together nor fixed in place. Matter in the plasma state has variable volume and shape, and contains neutral atoms as well as a significant number of ions and electrons, both of which can move around freely.

Explanation:

In a quantitative analysis study, 4.624 grams of a compound containing carbon,
hydrogen and oxygen yielded 6.557 g of CO2 and 5.00 L of H2O vapor (at STP) in a
combustion analysis apparatus. Determine the empirical formula of the compound.

Answers

The compound's empirical formula is CH3O.

Empirical formula is the chemical formula for compounds which do not define the precise number or arrangement of atoms but just the quantities of the components they contain. This would be the component of the compound with the smallest whole number ratio.

Empirical formula is beneficial since figuring out the molecular formula may be immensely aided by knowing the relative amounts of each constituent in a molecule. It's crucial to have an n-value in order to figure out the real number of each atom in a molecule.

n(CO2) = n(C) = m/M = 6.557/44 = 0.148 mol

m(C) = 0.148 x 12 = 1.788g

n(H2O) = 0.5n(H) = 5/22.4 = 0.223g/18 = 0.024 mol

m(H) = 2 x 0.024 = 0.048g

m(O) = 4.624 - 1.788 - 0.048 = 2.788g

n(H) = 2 x 0.174 = 0.348 mol

n(O) = 2.788/16 = 0.174 mol

n(C):n(H):n(O) = 0.148:0.348:0.174 = 1:3:1

Empirical formula is CH3O

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Which two of these elements are the least reactive? Explain your thinking.
a. chlorine, CI
b. barium, Ba
d. rubidium, Rb
C. copper, Cu
f. mercury, Hg
e. potassium, K

Answers

The two of these elements are the least reactive are (c) Copper Cu and (f) Mercury Hg.

Elements in lower left and in the upper right of the periodic table are the most reactive, except noble gases which are very un-reactive because they are stable. we can also used the reactivity series or activity series of metal to ans this.

On the periodic table the least reactive elements are the transition metals which are placed in middle of the periodic table.the elements Potassium K and Rubidium Rb are the alkali metals and are reactive.the elements Chlorine Cl and Barium Ba are the alkaline metals and are reactive metals.The  Elements Copper Cu, and Mercury Hg are placed in the middle of the periodic table and are least reactive.

Thus,The two of these elements are the least reactive are (c) Copper Cu and (f) Mercury Hg.

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Convert 28.56 meters to feet

Answers

Answer:

93.7 feet

Explanation:

To convert meters to feet, all you have to do is multiply by 3.281.

Hope this helped! :)

Calculate the joules lost when 21 g of water cools from 86 ∘C to 67 ∘C

Answers

Answer:  -1.67 KJ

Explanation:

Given- m of water= 21g

           Final temperature- 67°C

           Initial temperature- 86°C

           Specific heat capacity of water ( c)= 4.182 J/g°C

Solution

Q= mcΔT

Q= 21g* 4.182J/g°C*(67°C-86°C) = -1669J

Other Questions
People/organizations who give out money to companies and businesses are called: contributions of NAM to Bhutan Dr. Tomas is interested in studying how a person's biological makeup vs. environment affects criminal behavior. Who would be the ideal candidates for this study?1. Teenagers who have been in juvenile lockup2. Monozygotic twins raised together and dizygotic twins raised apart3. Prison inmates with criminal parents4. Monozygotic twins raised in different homes and dizygotic twins raised together Hazel and Luna are in different sections of MTH 134. They both took Test 1 and their instructors indicated that in each section, the scores fell into a normal distribution. Hazel made a score of 93 points and Luna made a score of 68 points. In Hazel's section, the Test 1 scores had a mean of 80 and a standard deviation of 8. In Luna's section, the mean was 40 with a standard deviation of 15. Use the Empirical Rule to determine which student did "better" and why. What is the yield on a corporate bond with a $1000face value purchased at a discount price of $900, ifit pays 7% fixed interest for the duration of thebond?yield = [?] %Give your answer as a percent rounded to the nearesthundredth. Write a paragraph identifying how the core beliefs and principles of democracy can be seen in America today. Consider the following questions in your response: What are the principles outlined in the Declaration of Independence and the U.S. Constitution? How are the ideas expressed in these documents visible in the government institutions and democratic practices seen in United States today? pls helpppp its nearly due and i need a solution AND a answer x What is the purpose of the Archimedes screw in at least 3 sentences. Given that xy = 36 and x - y = 5, Find the value of x + y. What is the slope of the line represented by the equation y = x-3?03-3 65 POINTS! 1st photo- What is the equation of the line of symmetry (or the point of symmetry) for the image? 2nd photo- List the equation(s) of the line of symmetry or the point(s) of symmetry for the image. Be sure to include all equations and/or points of symmetry. A fox sees a rabbit 35 feet away and starts chasing it. As soon as the fox startsmoving, the rabbit sees it and starts running away at a speed of 40 feet per second.What should the fox's speed be to catch up to the rabbit in no more than 10 seconds? a blank chart shows open and close prices and highs and lows, but over a long time period it can also show pricing blank Statements that can be relied on with a fair amount of certainty and can be observed objectively are known as. SAT/ACT If 4 a+6 b=6 and -2 a+b=-7 , what is the value of a ?A -2 B -1 C 2 D 3 E 4 Help a brother out please Factor completely. x^8-1/81 A boat moves through the water with two forces acting on it. One is a 1,725-N forward push by the water on the propeller, and the other is a 1,300-N resistive force due tothe water around the bow.(a) What is the acceleration of the 1,400-kg boat?0.30m/s 2(b) If it starts from rest, how far will the boat move in 20.0 s?2m(c) What will its velocity be at the end of that time?3m/s what does SAS stand for? what does it have to do with similar triangles? What inhibited FDR's willingness to help the cause of minorities during the 1930s?his desire to safeguard his presidential seat by appeasing conservative southern Democratshis belief that laws designed to help the majority would succeed in aiding minorities as wellhis need to focus on strengthening the country's economy and not on issues of social injusticehis inability to conceive of a program that would successfully further the cause of minorities