100.0 grams of an isotope with a half-life of 36.0
hours is present at time zero. How much time will
have elapsed when 5.00 grams remains?

Answers

Answer 1

Answer:

155.6 hrs

Explanation:

5   =   100 (1/2)^n      n = 4.32 half lives

4.32 * 36 = 155.6 hrs

Answer 2

The required, 155.58 hours will have elapsed when 5.00 grams of the isotope remains.

What is the half-life of the element?

The half-life of the element is defined as the time span in which the element grows or decays half of its whole composition of growth and decay.

Here,
The decay of a radioactive substance can be modeled by the following equation,

[tex]N(t) = N_o (1/2)^{t/T}[/tex]

where N₀ is the initial quantity of the substance, N(t) is the quantity remaining after time t has elapsed, and T is the half-life of the substance.

In this problem, we are given,

N₀ = 100.0 g

N(t) = 5.00 g

T = 36.0 hours

We want to find the time t that has elapsed. Rearranging the equation above, we can solve for t,

t = T (log N₀ - log N(t)) / log 2

Substituting the given values, we get,

t = 36.0 hours x (log 100.0  - log 5.00 ) / log 2

t = 36.0 hours x 4.643 / 0.693

t = 155.58 hours

Therefore, approximately 155.58 hours will have elapsed when 5.00 grams of the isotope remains.

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Related Questions

What does RADAR stand for?​

Answers

What does RADAR stand for?

Answer:

RAdio Detection And Ranging

You have probably heard of radar before. However, we are not going to explore the radar that stands for RAdio Detection And Ranging

Select the volume units that are greater than one liter.

Answers

Answer:

kiloliter and megaliter

Explanation:

kilo is 1000 times bigger and mega is 1e+6 bigger

A galaxy with a lot of dark matter would have a high mass-to-light ratio compared to the Sun. True False

Answers

Yes, a galaxy with a lot of dark matter would have a high mass-to-light ratio compared to the Sun.

Contribution of dark matter in mass to light ratio?

This largely invisible matter such as dark matter adds to the mass of the galaxy while it has no contribution in its luminosity which increases the mass-to-light ratio. If dark invisible matter is present in a galaxy, its mass-to-light ratio can be as high.

So we can conclude that the statement is true.

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Which of the following items is not a part of
the Residential Electrical Service?
A. Feeders
B. Meter
C. The Main Panelboard
D. Utility substations

Answers

Answer:

C is your answer.

Explanation:


Newton's law of universal gravitation is described by this equation.
Gm m2
d2
The students want to know what would happen to the force exerted on
Earth from the Sun if the distance between Earth and the Sun
increased.
Complete these tasks:
• Explain how the force would change.
• By using G, m, or d, identify the independent variable in the
equation that causes this change.
Enter your answer in the box provided.

Answers

The force attracting a piont mass to the center of the earth is affected by the mass and the separating distance.

Gravitational Force

The law of universal gravitation states that a point mass is attracted to other points mass, the effect on the force is directly proportional to the product of the mass and inversely proportional to the separating distance.

The expression of the Gravitational Force is given as

[tex]F = \frac{Gm1 m2 }{d^{2} }[/tex]

F = force

G = gravitational constant

m1 = mass of object 1

m2 = mass of object 2

d    = distance between centers of the masses

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To draw Lewis dot structure for the noble gas Ne that has an atomic number of 10, we should,

a
Write the Symbol and draw 10 dots around it.
b
Write the Symbol and draw 8 dots around it.
c
Write the Symbol and draw 2 dots around it.
d
Draw two shells with 2 electrons on the first shell and 8 on the second shell

Answers

Answer:

D) Draw two shells with 2 electrons on the first shell and 8 on the second shell.

Explanation:

There are 10 electrons, so you will need 10 shells. Electrons form octets, so there should be 8 in one and two left over in the other

Select the correct answer. jeff’s father is installing a do-it-yourself security system at his house. he needs to get a device from his workshop that converts electric energy to sound energy. which device is jeff’s father looking for? a. switch b. motor c. buzzer d. bulb e. battery

Answers

Answer:

Buzzer

Explanation:

A rod of length 2d0 and mass 2m0 is at rest on a flat, horizontal surface. One end of the rod is connected to a pivot that the rod will rotate around if acted upon by a net torque. A sphere of mass m0 is launched horizontally toward the free end of the rod with velocity v0, as shown in the figure. After the sphere collides with the rod, the sphere sticks to the rod and both objects rotate around the pivot with a common angular velocity. Which of the following predictions is correct about angular momentum and rotational kinetic energy of the sphere-rod system immediately before the collision and immediately after the collision?.

Answers

The angular momentum immediately before and after the collision is equal. The rotational kinetic energy before the collision is greater than the rotational kinetic energy after the collision.

What are rotational kinetic energy and angular momentum?

When a body is rotating in a plane about a center, the energy possessed by the body is known as rotational kinetic energy.

Angular momentum is the momentum of a body having circular motion.

According to the law of conservation of angular momentum, the momentum remains conserved before and after the collision.

In the given sphere rod system, after the sphere (m0) sticks to the rod(2m0), the mass increases to 3m0 due to which the moment of inertia is increased but the speed is decreased.

Rotational Kinetic Energy =[tex]\frac{1}{2}[/tex]Iω²

Thus, the angular momentum immediately before and after the collision is equal. The rotational kinetic energy before the collision is greater than the rotational kinetic energy after the collision.

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Describe how a student should carry out an experiment to determine the specific heat capacity of water.

Answers

Answer:

Use an insulated beaker full of water. The insulation reduces heat loss. Use a top pan balance to measure the mass of the empty beaker and then the beaker and water. Calculate the mass of the water by subtracting. Measure the temperature of the water before heating using a thermometer. Use a heater with an ammeter connected in series to measure the current in the heater and a voltmeter in parallel with the heater to measure the pd. Record the time the heater is on and measure the end temperature of the water. Use E = I × V × t  to determine energy supplied to the Water. Use ΔE = m × c × ΔΘ to determine the specific heat capacity of the water.

After the right string is cut, the meterstick swings down to where it is vertical for an instant before it swings back up in the other direction. What is the angular speed when the meterstick is vertical?.

Answers

The Angular Speed of the Meterstick after it becomes vertical is given as:

= 5.800 rad/s. This is computed using the formula for conservation of energy.

What is Angular Speed?

Angular Speed is defined as the measure of how quick or fast the central angle of a body that is rotational is changing in relation to time. Please see the attached for the full question.

What is the solution for the Angular Speed of the phenomena described?

Recall that the formula for conservation of energy is given as:

(1/2)(Iω²) = mg(L/4) where

L=  Lenght and

m = Mass. Please refer to the attached questions.

Factoring the moment of inertia about the pivot, we solve for the angular speed using the following formula:

ω =
[tex]\sqrt{(mgL)/2I}[/tex]

= [tex]\sqrt{(6g)/7L}[/tex]

Hence, the angular speed is:

ω = 8.800rad/s

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If a hydroxide dissolves in water what is it called

Answers

Answer:

Strong Electrolyte

Explanation:

If there was a flood that caused damage to your car, what kind of coverage must you have in order for the insurance company to help cover the cost of repairs?

Answers

Comprehensive coverage?

In order for the insurance company to help cover the cost of repairs, you must have comprehensive auto coverage.

What is flood?

An overflow of water causing the destruction beyond its limits is called flood.

In the situation of car damage due to flood, comprehensive auto coverage from the insurance company will pay for the damage to your flooded vehicle. So, it helps in covering the cost of damages to vehicle when damage is not caused by a collision.

Thus, In order for the insurance company to help cover the cost of repairs, you must have comprehensive auto coverage.

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Many asteroids are found between Mars and which other celestial body?


Jupiter


the sun


the moon


Earth

Answers

Answer:

the answer is Jupiter....

Main Asteroid Belt: The majority of known asteroids orbit within the asteroid belt between Mars and Jupiter, generally with not very elongated orbits. The belt is estimated to contain between 1.1 and 1.9 million asteroids larger than 1 kilometer (0.6 miles) in diameter, and millions of smaller ones

Answer:

The answer is Jupiter.

Explanation:

!!!WILL MARK BRAINLIEST!!! When working with electric charges, what symbol is used in equations to represent the electric field of an object?

a. r
b. E
c. Fe
d. Q
correct answers only!

Answers

Answer:

b. E

Explanation:

"E" is used to represent an electric field of an object.

Hope it helps

The working with electric charges, the symbol used in an equation to represent the electric field of an object is E. Thus, the correct option is B.

What is an electric field?

An electric field is defined as the physical field that surrounds the charges or electrically charged particles. The electric field is exerted the force on all the other charged particles and the force is either an attractive or repulsive force.

The electric field around the charges is denoted by the lines called electric field lines. The field lines are radially outwards if the charge is positive and the field lines are radially inwards if the charge is negative. For two charges, the field lines are starts from the positive charge and end with the negative charge.

The electric field equals force per unit test charge. The force is Coulomb's law between two charges. The electric field is also obtained as electric potential per unit displacement.

The electric field is denoted by the letter, E. E = F / q or -V/r, the negative sign indicates that the electric field moves opposite to the potential gradient. The unit of the electric field is Newton per coulomb or volt per meter.

Thus, the correct option is option B.

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As an object moves around, on which quantities does the change in its gravitational potential energy depend?.

Answers

Answer: Heyo Kenji Here! Here's your answer- As expressed by the equation, potential energy depends upon the mass and the height of the object. Any increase in these two quantities will lead to an increase in the amount of potential energy possessed by the object.

Explanation: Hope this helps!

Have a nice day!

- Kenji ^^

How does the mass of an object affect the gravitational forces experienced by another object?.

Answers

Explanation:

F=(Gmm)/(r^2)

larger the mass stronger the force. An object with a large mass will produce a large force. A small mass will produce a small force.

If the speed of an object slows down but the distance stays the same, what can
you conclude about the time it takes?

Answers

Answer:

which of tne following is non- contact force

if 36 columb of charge pass through a wire in 45 what current is it carrying ?​

Answers

Current I is the rate at which charge moves through an area A, such as the cross-section of a wire

A hollow sphere is filled with water. It is hung by a long thread. As the water flows out of a hole at its bottom, the period of oscillation will.

Answers

Answer:

The period wlll decrease - it will swing faster

The period of a simple pendulum is just

P = 2 π √(L / g)

However, with a compound pendulum one must also consider the moment of inertia about the center of mass at distance L.

As water drains from the sphere its moment of inertia about its point of suspension will decrease and the pendulum will swing faster

Technically  P =  2 π √I0 / M g L)

where I0 = M L^2 + Icm       Icm is moment of inertia about the center of mass -  if Icm = zero then P = 2 π √(L / g)     the simple pendulum

The overall shape of our milky way galaxy is thought to be.

Answers

It is thought to spiral galaxy

The amount of boiling water required to raise the temperature of 25. 0 kg of water in the bath to body temperature is 4. 80 kg. In this process, the heat lost by the boiling water is equal to the heat gained by the room-temperature water. How much heat was transferred in this process?.

Answers

Answer:

I already gave you the answer in a picture

How does an electric generator work? the axle rotates the armature in the magnetic field of a permanent magnet, which induces an electric current. the armature rotates the axle in the magnetic field of a permanent magnet, which induces an electric current. the axle rotates the armature in the magnetic field of an electromagnet, which induces an electric current. the armature rotates the axle in the magnetic field of an electromagnet, which induces an electric current.

Answers

The armature rotates the axle in the magnetic field of an electromagnet, which induces an electric current defined that es the working of an electric generator.

What is an electric generator?

An electric generator is physically equivalent to an electric motor, but it converts mechanical energy into electrical energy using a reversed flow of power.

When strong magnets are used, a strong flux is produced, and the motor becomes more powerful. Internal flux has a significant impact on coil strength.

Increasing current results in greater power. In the same way, shortening the distance between magnets makes the motor stronger by increasing flux and torque.

The armature rotates the axle in the magnetic field of an electromagnet, which induces an electric current defined that es the working of an electric generator.

Hence option D is correct.

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Answer:

d

Explanation:

edge 2022

What do we mean when we say that particles such as neutrinos or wimps are weakly interacting?.

Answers

Answer:

They respond to the weak force but not to the electromagnetic force, which means they cannot emit light.

Explanation:

which imaginary plane describes orbital plane in the solar system?

Answers

Answer:

The orbital plane would be the plane that contains the line that joins the sun and the earth (at all times).

A sample of a gas in a rigid container at 30. 0°c and 2. 00 atm has its temperature increased to 40. 0°c. What will be the new pressure?.

Answers

Answer:

2.066 atm

Explanation:

PV = nRT      increase T    volume and n and R remain constant

30 C = 303.15 K      40 C = 313.15

P  prop to T      new P   will be   313.15/303.15 * 2 atm = 2.066 atm

A ball is moving at 10m / s and has a momentum of 200kgm /s What is the ball's mass?

Answers

Answer:

20 kg

Explanation:

Momentum = mv  =

   200 = m * 10

    m = 20 kg

Explain what it means when someone says energy can not be created or destroyed.

Answers

Answer:

Newtons law of conservation energy says that energy cannot be created or destroyed because energy is always made into something else. It is always reused.

Explanation:

It means energy is in everything and can only be transferred not remade

A planet is most likely to have tectonic activity if it has:.

Answers

Answer: Heyo Kenji Here! Here's your answer- A planet is most likely to have tectonic activity.

Explanation: Hope this helps!

Have a nice day!

- Kenji ^^

1 What do the characteristics of electromagnetic radiation include?
A. characteristics of particles only
B. characteristics of waves only
C. characteristics of both waves and particles
D. characteristics of neither waves nor particles

2 Which equation correctly relates the energy of electromagnetic radiation to its frequency?
A. E=h/v
B. E=hv
C. E=v
D. E=h

3 What causes electrons in atoms to emit energy after absorbing it?
A. being ripped off their atoms
B. returning to their ground energy states
C. losing mass
D. becoming electromagnetic radiation

4 What observation led scientists to postulate the existence of photons?(1 point)
A. electrons in atoms emitting energy only in certain amounts
B. seeing photons through powerful microscopes
C. discovering that electrons can have varying amounts of energy
D. electrons in atoms emitting energy across the electromagnetic spectrum

Answers

Answer:

1. characteristics of both waves and particles

2. E = hv

3. Returning to their ground energy states

4. Electrons in atoms emitting energy only in certain amounts

Explanation:

took the connexus physics emission spectra quick check

The characteristics of electromagnetic radiation include the characteristics of both waves and particles. So, option D.

The expression that relates the energy of electromagnetic radiation to its frequency is given by E = hνSo, option B.

The electrons in atoms emit energy after absorbing by returning to their ground energy states. So, option B.

The observation that led scientists to postulate the existence of photons is that electrons in atoms emitting energy only in certain amounts. So, option A.

When an atom absorbs energy, electromagnetic radiation is produced. One or more electrons move to a different location within the atom as a result of the energy that was absorbed.

An electromagnetic wave is created as the electron moves back to its initial position.

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If a particle is in a box with a ground state energy of 4 eV, what energy must be absorbed by the system to go from the n

Answers

For a particle is in a box with a ground state energy of 4 eV,  energy absorbed is mathematically given as

dE=20eV

What energy must be absorbed by the system to go from the n?

Generally, the equation for the energy absorbed  is mathematically given as

En=n^2E1

Therefore

dE=E3-E2

dE=3^2-2^2)E1

dE=20eV

In conclusion, the energy is

dE=20eV

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