Are bubbles in electrocuted water a new substance?

the natural length (in cm) of the spring is 4 cm

Calculation :

Let a = natural length of string from given data

54 = k/2(16-a)² - k/2(10-a)²

108 = k[256 + a² - 32a - 100 - a² + 200]

108 = k[156 - 12a]

9 = k[39 - 3a]   ------ 1

90 = k/2(22-a)² - k/2(16-a)²

90 = k(114 - 6a)

15 = k(19 - a) --------2

solving eqn 1 and 2

15/9 = (19k - ka)/(13k - ka)

15/9 = (19- a) / (13 - a)

24 = 6a

a = 4 cm

the natural length (in cm) of the spring is 4 cm.

Work is a force over distance. Examples of jobs include lifting objects against gravity, driving cars up hills, and pulling down trapped helium balloons. Work is a mechanical manifestation of energy. The usual unit of work is the joule (J), which is equivalent to the Newton meter (N m).

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The number of collisions is 26. An elastic collision is one in which the system does not experience a net loss of kinetic energy as a result of the collision.

Two objects collide in an elastic collision when no kinetic energy is wasted. The kinetic energy and momentum of the objects are conserved when they bounce back from one another. We are dealing with an elastic collision because inelastic collisions are thought to happen when the two items stay together after the collision.

Initial energy equals E o

=2MeV=2×10 6 \s eV

After the initial collision, E 1 = 2 E o

​After a second collision, E 2 equals 2 E 1.

​​ \s = \s2 \s2

E \so \s​

When there is a third collision, E 3 equals 2 E 2.

​​ \s = \s2 \s3

E \so \s​

And so

Following n collisions, E n = 2 n

E \so \s​

final energy = 0.04 eV

Consequently, E n = 0.04

⟹ \s2 \sn

2×10 \s6

​ \s =0.04

⟹2 \sn \s = \s0.04 \s2×10 \s6

​ \s =5×10 \s7

n=log 2 (510 7 )=log 10 2 log 10 (510 7 )

​⟹n= \s0.301 \s7+0.699

​⟹n=26

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Answer:

Explanation:

Changing the frequency or amplitude of the waves will not change the wave speed, since those are not changes to the properties of the medium.

Answer:

Changing the frequency or amplitude of the waves will not change the wave speed

Explanation:

The critical angle for water is 49 degrees, calculated as the angle between the beam and a line perpendicular to the surface.

Cogitate, deliberate, reason, conjecture, and think are a few words that frequently replace the word reflect. All of these terms indicate "to utilize one's faculties of imagination, reasoning, or inference," but reflect denotes thoughtful deliberation over a memory that has just come to mind.

When light reflects off of something, it does so. The light will reflect at the same angle it struck the surface if the surface is smooth and shining, such as glass, water, or polished metal. Specular reflection is the name for this. A smooth surface allows light to bounce back at the same angle that it was incident.

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The energy of the photon is 1.21 *[tex]10^{-17} J[/tex]

Photons released during transition have an energy of

E = hv

E=(hc) / λ

where ,

h Planck's constant, which is equal to   6.626 x[tex]10^{-34}[/tex] J-s

v is frequency of photon

λ is wavelength of photon

Einstein's paradigm was built on the basis of two suppositions. He initially believed that light was made up of photons, which are tiny, discrete bundles of energy. Second, he predicated that the energy of a photon is inversely related to both its wavelength and its frequency.

substituting the values in above formula we get

E=( 6.626 x[tex]10^{-34}[/tex] J-s)  *(1.821 × [tex]10^{16}[/tex]  [tex]s^{-1}[/tex])

E= 1.21 *[tex]10^{-17} J[/tex]

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A bird of 2Kg mass was flying at 4m/s towards a car and the car of mass 12000 Kg was going with 30m/s towards the bird, then the velocity of center of mass is 11250.35m/s

Given the mass of bird(m1) = 2kg

Mass of car (m2) = 12000kg

velocity of bird (v1) = 4m/s

velocity of car (v2) = 30m/s

Velocity of center of mass (V) = m1v1 + m2v2 / m1+m2

V = 2x4 + 12000x30 / 2+30 = 11250.35m/s

Hence the velocity of center of mass is 11250.35m/s

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The moment about AB using the position vector AC is 55.9 i + 342.3 j + 0 k N.m and the position vector from A to C, calculate the moment about segment AB due to force F is -95.4 i + 191.07j + 0 k N.m.

Given that:

x₁ = 1.4m

y₁ = 1.7m

z₁ = 1.5m

Applied force at point C = F = | - 165 i  + 100 j + 140 k | N

The moment about AB using the position vector AC :

Using the equation: M(AB) = u(AB) . [ r(AC) X F ]        (equation 1)

We have:

OA = 0

OB = 1.4 i + 1.7 j

OC = 1.4 i + 1.7 j + 1.5 z

Now,

vector AB = vector OB - vector OA

vector AB = 1.4 i + 1.7 j

and, u(AB) = vector AB | vector AB     (equation 2)

= |vector AB| =

= AB  

= √ ( 1.4² + 1.7² )    (inserting this in equation 2)

= u(AB)  = (1.4 i + 1.7 j ) / √ ( 1.4² + 1.7² )

= u(AB) = 0.636 i + 0.772 j

distance r(AC) =  vector OC - Vector OA

= r(AC) = 1.4 i + 1.7 j + 1.5 z

Now, inserting values of u(AB), r(AB) and F in equation 1,

= M(AB) = 0.636 [1.7 X 140 - 1.5 X 100] + 0.772[1.4 X 140 + 165 X 1.5] + 0

= M(AB) = 0.636 (238 - 150) + 0.772(196 + 247.5) + 0

= M(AB) = 55.9 i + 342.3 j + 0 k N.m

Now,

r(BC) = vector OC - vector OB

r(BC) = (1.4 i + 1.7 j + 1.5 z) - (1.4 i + 1.7 j )

r(BC) = 1.5 z

Now, inserting values of u(AB), r(BC) and F in equation 1,

= M(AB) = 0.636 [0 X 140 - 1.5 X 100] + 0.772[ 0 X 140 + 165 X 1.5] + 0

= M(AB) = 0.636 (0- 150) + 0.772(0+ 247.5) + 0

= M(AB) = -95.4 i + 191.07j + 0 k N.m

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The complete question:

Calculating the moment about AB using the position vector AC

Using the position vector from A to C, calculate the moment about segment AB due to force F .

Express the individual components to three significant figures, if necessary, separated by commas.

The dimensions are: x₁ = 1.4m, y₁ = 1.7m, z₁ = 1.5m and the force applied at point C = [-165 i + 100 j + 140 k] N.

A uniform steel beam is suspended from one end on the construction  site of a new skyscraper. The beam's length is 0.99 m if its back-and-forth motion has a period of 2.00 s.

A simple pendulum is a beam suspended from one end. Simple pendulums are mechanical devices that move in a predictable pattern.

The formula for the time period of a simple pendulum whose length is 'l' is

T = 2[tex]\pi[/tex] [tex]\sqrt{\frac{l}{g} }[/tex]

Here, g is the acceleration due to gravity.

The time period of the beam is given as 2.00 s.

We can deduce from the preceding formula that

l = [tex]\frac{T^{2}g }{4\pi ^{2} }[/tex]

We have gravity acceleration, g = 9.8 m/[tex]s^{2}[/tex]

π = 3.14

and T = 2.00 s

So,

l= [tex]\frac{(2.00)(2.00)(9.8)}{4(3.14)(3.14)}[/tex]

or,

l = [tex]\frac{39.2}{39.4}[/tex]

or, l = 0.99 m.

As a result, the length of the beam is 0.99 m.

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Observers need to look to the west to be able to see the highest constellation one month ago.

A constellation is a group of stars that appear connected to form a special configuration. In three-dimensional space, most of our stars have no relationship with each other but can appear as clusters on the night sky globe.

The constellation that was highest in the sky at midnight a month ago would be in the western sky at midnight, for its rise meant it had to rise earlier to get that far.

The Earth also orbits the Sun, causing different parts of the galaxy to appear at different points in Earth's orbit. This means that if you look at one group of stars one month, they will appear in a different place the next month.

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The combined speed after the inelastic collision is equal to 0.75 v.

An inelastic collision can be described as a type of collision that occurs between two objects in which some energy is lost. In the case of inelastic collision, momentum remains conserved but the kinetic energy will not be conserved.

Given, the mass of cart A, m₁ = 3 m

The mass of the cart B, m₂= m

The initial speed of cart A, u₁ = v

The initial speed of cart B, u₂ = 0

After the inelastic collision the momentum will remain conserved:

m₁.u₁ + m₂u₂ = m₁.v₁ + m₂ v₂

3m × v + m ×0 = (3m + m)× V

V = 3mv/4m

V = 0.75 v

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A amount of water corresponding to the submerged lead's own volume is displaced by it, and A volume of water equal to the weight of the floating lead is displaced by the floating lead.

A measured amount of rigidity, a fundamental characteristic of all matter, is known as mass in physics. The resistance an unit of matter gives to one change in its pace or location as a result of the applying of a force is what it is in essence.

(a) A body's mass is how much matter is there inside of it. Kg is really the SI mass measurement unit. (kg). (b) The force that pulls a body toward the center of the earth is the load of that body.

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The vector size→a Along X -axis is 2 When Mets size along with j -axis is 0

So the vector → a will be → a = 2^Me+0^j.

vector size → b Along X -axis is 0

When t size along with j-axis is−2

When ts so the vector → b will be →b = 0^− 2 ^j.

A vector represents movement from one point to another. Vector quantities have both direction and magnitude. A scalar quantity has only one quantity. A vector can be represented by a line segment with an arrow think about the problem

The f-vector has the results of the other two vectors. According to the parallelogram law of vector addition.

Let f be the resultant force of d and e

that's why,

d+e=f

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They would have an 11-times higher equivalent resistance if they were joined in series.

Consider the scenario of a person navigating a busy market and encountering difficulty moving from one business to another to better understand resistance. Undoubtedly, this circumstance is comparable to a particle trying to pass through a wire.

An electrical conductor's resistance is determined by its length, resistivity, and cross-sectional area. The relationship between conductance and resistivity must be understood; the more conductive that anything is, the less resisting it is.

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The complete question is-

three resistors, 1 ohm, 2 ohm, 3 ohm are connected in a parallel. if they were connected in series instead their equivalent resistance would be

a. 13 times as great

b. 11 times as great

c. 9 times as great

d. 7 times as great

e. none of the above

The wavelength of the electromagnetic radiation broadcasted by the FM radio station is 0.3 m.

The FM radio station is broadcasting the electromagnetic radiation at a frequency of 92.6 megahertz.

The relation between the frequency, wavelength and speed of the electromagnetic radiation is given by,

v = cy

Where,

c, y and v are the speed, wavelength and frequency of the electromagnetic radiation respectively.

The speed of the electromagnetic radiation will be equal to the speed of the light.

Now, putting all the values,

92.6 x 1000000 = y x 3 x 10^8

y = 0.3 m.

So, the wavelength of the FM electromagnetic radiation is 0.3m.

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Answer:

power

power is the rate of doing work. It is equivalent to an amount of energy consumed per unit time. In the SI system, the unit of power is the joule per second (J/s).

The radius in the circular path is 2m.

We are given that,

Acceleration = a = 32 m/s²

Speed = v = 4m/s

Thus , the radius of the circular path can be calculated by the formula,

a = v²/r

Where a is acceleration , v is speed and r is the radius of the circular path,

r = v²/a

r = (4m/s)²)/(32m/s²)

r = 2m

Hence the radius r of the circular path would be 2m.

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As the angle of bank rises, a turn coordinator's displacement during a coordinated turn will also rise.

Turn coordinators show information about the speed and quality of the turn as well as the coordination of the turn. Turn and slip indicators solely display turn rate. The turn and bank indication was created. The relative strength of gravity and the inertia brought on by a turn are measured by this ball. The ball will move to the left while the toy airplane makes a turn to the right. What directly displays on the turn coordinator's small aircraft? both the roll and turn rates. A little airplane symbol that rolls (rotates) right or left depending on the bank angle and the rate of turn is used to indicate the turn coordinator's rate of turn.

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In the same period of time, the horses on the outside of the carousel must travel farther than the ones on the inside. Accordingly, the horses outside move at a faster linear speed than the horses at the hub.

Every point on the surface of the merry-go-round revolves at exactly the same angular speed because it rotates as a single solid entity.

Which horse travels faster along a rail, one near the inside or one on the outside of a merry-go-round? neither because their linear speeds are equal.

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The kinetic energy would increase by a factor of 25.

The kinetic energy of a moving body is a function of its mass and the velocity with which it is traveling. It can be expressed by the formula:

KE=1/2mu²

This suggests that the kinetic energy a body has varies directly with mass and with the square of the velocity. With this knowledge, we can easily figure out how it changes when the speed is altered by a certain factor. Assuming that the initial speed of a body of mass m was u, the initial kinetic energy of the body would be:

KE = 1/2mu²

Now that the speed is increased by a factor of of 5, the final speed y would be equal to 5 times the initial speed u, such that v=5u. The kinetic energy of the body would then be:

KE = 1/2m²

KE = 1/2m(5u)

KE = 1/2m(252)

Pulling out 25 and replacing the expression for the initial kinetic energy:

KE = 25.1/2mu²

KE = 25KE

So, on increasing the velocity by a factor of 5, the kinetic energy would increase by a factor of 25.

Kinetic energy is the energy possessed by an object caused by the force of motion. The term kinetic comes from the Greek, 'kinetikos', which means to move. Therefore, an object moving at a certain speed must have kinetic energy, while an object that is not moving does not have kinetic energy.

Kinetic energy is also called motion energy, where the movement of an object can produce other energy. For example, motion energy can be turned into electrical energy, eventually that electrical energy can be utilized by humans.

Kinetic energy is divided into two types which are classified based on the movement of an object, namely:

This type of translation is kinetic energy produced by objects moving in a straight line with the same direction and speed. For example, a car driving on a highway and a bullet moving in a straight line.

This is a condition when an object rotates. When rotating, the amount of energy in it can change. For example, the rotation of the earth around the sun, a spinning top that rotates on its axis, and a Ferris wheel.

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The distance between the second maximum of laser 1 and the third minimum of laser 2, is 0.36 m.

x1 = nλL / d

n=second maxima of laser 1

  = 2 * (d/20) *5.40 /d

  = 0.54 m

X2= (n+1/2)λL/d

n= 2= third minima of laser 2

  = 2.5 *(d/15)* 5.40 /d

  = 0.9m

distance del(y)max-min between second maximum of laser 1 and the third minimum of laser 2, on the same side of the central maximum =

0.9 -0.54 = 0.36 m

A laser is a device that produces light by optically amplifying electromagnetic energy through stimulated emission. The term "laser" stands for "light amplification by stimulated emission of radiation" (abbreviated "laser"). The first laser was created in 1960 by Theodore H. Maiman at Hughes Research Laboratories, based on theoretical research by Charles Hard Townes and Arthur Leonard Schawlow.

Because it emits coherent light, a laser is unique among other light sources. Laser cutting and lithography are made possible by spatial coherence, which makes it possible to focus a laser on a small area.

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3.92 ×[tex]10^{3}[/tex]  is  the equilibrium constant, k, at 25°c for a reaction in which δgo = −20.5 kj/mol. ΔGo and K are related by the equation ΔGo = -RT ln K.

For a chemical reaction, the equilibrium constant can be defined as the ratio of reactant to product that is used to determine chemical behaviour. The rate constants are constant at a given temperature.

The equilibrium constant is equal to the forward reaction rate constant divided by the reverse reaction rate constant.

The demand and supply function (Qa - bP = x + yP) can be used to calculate it. When the supply equals the demand, the equation yields an equilibrium price. Because we're supposed to be using active masses rather than molarity/concentrations of the respective substances, the equilibrium constant has no units.

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According to the question radiation will be produced is 64 mR.

The energy that emanates from a point and moves across space at the rate of light is referred to as radiation. This energy has wave-like qualities and is accompanied by an electric field as well as a magnetic field. Radiation may also be referred to as electromagnetic waves.

Intensity 1 / Intensity 2 = mAs 1 / mAs 2

Intensity 1 = 32mR

Intensity 2 = ???

⇒MAs 1 = 2

⇒MAs 2 = 4

⇒32mR / x = 1/2

⇒x= 64 mR

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The terrestrial planets receive more heat from the Sun and have a lower gravitational pull than the Jovian planets, which receive less heat from the Sun and have a much higher gravitational pull.

Because they are large and composed mostly of gas they are sometimes called gas giants. Small amounts of rocky material are found only deep within the core of Jupiter's planet. In the solar system, Jupiter planet is farther from the Sun than the terrestrial planets and is therefore cooler.

Terrestrial planets formed from rocky and metallic planetesimals but were ultimately too small to capture the large amounts of hydrogen and helium gases abundant in the solar nebula. But Jupiter's planet formed far from the Sun where ice and rock were abundant.

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213.65 atm is the pressure inside the tank if left outside in the sun in the temperature is 37°C.

Gay-Lussac's law states that " the pressure exerted by a gas (of a given mass and kept at a constant volume) varies directly with the absolute temperature of the gas".

According to the law, we have,

[tex]\frac{p_2}{T_2} = \frac{p_1}{T_1}[/tex]

Where,

[tex]p_2[/tex] is final pressure

[tex]p_1[/tex] is initial pressure

[tex]T_2[/tex] is final temperature

[tex]T_1[/tex] is initial temperature

Initial temperature: T₁ = 23° C =273 + 23 K = 296 K.

Initial pressure: p₁ = 204 atm.

Final temperature: T₂ = 37°C = 273 + 37 K = 310 K.

Final pressure: p₂ = ?

Substituting the values we get,

[tex]\frac{p_2}{T_2} = \frac{p_1}{T_1}[/tex]

[tex]p_2[/tex] = [tex]\frac{(p_1)(T_2)}{T_1}[/tex]

[tex]p_2[/tex] = [tex]\frac{(204)(310)}{296}[/tex]

[tex]p_2[/tex] = [tex]\frac{63,240}{296}[/tex]

[tex]p_2[/tex] = 213.648 ≈ 213.65atm.

Therefore, the pressure inside the tank if left outside in the sun is 213.65atm.

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This phenomenon of motion in physics can be explained in the following manner,

In a tug-of-war the rope is pulled by the two competing teams simultaneously, each using an equal amount of force. The rope is pulled with equal force by both teams thanks to Newton's third law. If one team pushes harder, the other team will follow suit.

The power with which the teams press the ground determines whether one team wins or loses. The team that pushes the floor harder gets pushed back with identical intensity by the ground, causing them to stand up straight without losing their equilibrium.

As a result, the power by which the team pushes the floor determines who wins and who loses.

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The relationship between time of flight t₁ and t₂ is t₂² = 20t₁ +  4.9t₁² = t₂²

The time it takes for the two cannon balls to land or the time of flight is determined using the equation below:

h = ut + ¹/₂gt²

where;

For ball 1:

h = 20t₁ + ¹/₂ * 9.8 * t₁²

For ball 2:

h = 0 * (t₂) + ¹/₂* 9.8 * t₂²

Equating the two values of h:

20t₁ + ¹/₂ * 9.8 * t₁² = 0 * (t₂) + ¹/₂ * 9.8 * t₂²

20t₁ +  4.9t₁² = t₂²

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The work done by the the force is mg ( 1 - cosθ₀ ). The work done by the gravitational force on the bob is - mgl ( 1 - cosθ₀) . The work done by the force that the cord exerts on the bob is always zero.

(A) Mass of the bob = m

Length of the chord = l

Magnitude of force = f

Initial acceleration = 0

Initial angle = θ₀ = 0

Final angle = θ

Distance travelled = s = Final angle  - Initial angle

The work done is proportional to force and displacement. It can be determined as W.

Work done by the force = W =

= W = ΔU

= W = mgh

= W = mg ( 1 - cosθ₀ )

Here, we used the work energy theorem to solve for the work done by the horizontal force.

(B) The work done by gravitational force is = W

= W = F.x

= W = mgl ( 1 - cosθ₀) X cos180

= W = - mgl ( 1 - cosθ₀)

(C) The tension that cord exerts on the bob is always at the angle of 90.

The work done is given as,

= W = F.x

= W = F. x X cos90

= W = 0

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The ball may fly up to a height of 27.56 feet. A ball is thrown up into the air, yet although though it rises into the air, the direction and velocity of the ball are actually downward.

As it rises, the ball's speed slows until the very apex of its motion, where it briefly pauses. At the peak, it accelerates at -9.8 m/s2.

the settings provided.

initial ball velocity (u) = 42 ft/s initial ball acceleration (a) = 32 ft/s2

The following formula is used to determine the ball's highest possible height:

v² = u²- 2gh

where;

When the ball is at its highest point, its velocity is zero.

0 = u² - 2gh

2gh = u²

The ball can therefore go a maximum height of 27.56 feet.

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Answer:

It slows down.

Explanation:

When light travels from one medium to another, its speed changes according to the properties of the two media. In the case of light traveling from air to water, the speed of light will decrease. This is because water is denser than air, so the light waves encounter more resistance as they pass through the water. This causes the light to slow down and its path to bend, a phenomenon known as refraction.

Answer: It slows down.

Explanation:

they are said to be “denser” than air. what happens is that light slows down when it passes from the less dense air into the denser glass of water. this slowing down the ray of light also causes the ray of light to change directions. it is the change in the speed of the light that causes refraction.

The index of refraction of water (1.33) is greater than that of air (1.00).

With that said the index of refraction is related to the velocity of light by:

[tex]n=\frac{c}{v}[/tex]

where n is the index of refraction, c is the speed of light in a vacuum and v is the velocity of light in the medium.

As c is constant we can see that the speed of light in a medium is inversely proportional to the index of refraction

[tex]n = \frac{1}{v} \\[/tex]

therefore the medium with the lower index of refraction will have the greatest velocity of light (Air).

Upon calculation the molarity of H₂O₂ after four half lives if the initial concentration of H₂O₂ is 0.30M is found to be 0.01875 M

This question can be solved using the concept of first order reaction

Every reaction has its own tempo. A glass of milk will begin to get sour in approximately an hour if left on a sunny windowsill. But when potassium metal is added to water, it reacts quickly and strongly. Two factors affect how quickly a reaction occurs. The first is the rate constant (k), which varies depending on the kind of reaction and is temperature-dependent. The second factor is the reactant concentration. The sequence of the reactions determines how the concentration influences the rate.

For a first order reaction,

ln[tex](\frac{A}{A_{o} })[/tex]= Kt

here, A= initial concentration

[tex]A_{0}[/tex]= concentration at a time t

K= Rate constant

t= time

A= 0.30 M

ln[tex](\frac{A}{A_{0} })[/tex]= k× 4[tex]t_{1/2}[/tex]

ln([tex]\frac{0.30}{A_{o} }[/tex])= k×[tex]\frac{4 ln2}{k}[/tex]

[tex]\frac{0.30}{A_{0} }[/tex]= 2⁴

[tex]\frac{0.30}{16}= A_{0}[/tex]

[tex]A_{0}[/tex]= 0.01875M

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