A by-product of some fission reactors is the isotope ⁹⁴₂₃₉Pu, an alpha emitter having a half-life of 24120 yr: ⁹⁴₂₃₉Pu → ²³⁵₉₂U + α Consider a sample of 1.00 kg of pure ⁹⁴₂₃₉Pu at t=0 . Calculate (b) the initial activity in the sample.
Answers
The initial activity of the 1.00 kg sample of pure ⁹⁴₂₃₉Pu is approximately 7.16 x 10^19 Bq.
To calculate the initial activity of the sample, we need to use the definition of activity, which is the rate at which radioactive decay occurs. The formula for activity is:
Activity = λ * N
where λ is the decay constant and N is the number of radioactive atoms in the sample.
In this case, we are given that the half-life of ⁹⁴₂₃₉Pu is 24120 years. The decay constant (λ) can be calculated using the following formula:
λ = ln(2) / half-life
Let's calculate λ first:
λ = ln(2) / 24120 years
λ ≈ 0.0000287 years⁻¹
Next, we need to calculate the number of radioactive atoms (N) in the sample. We have 1.00 kg of pure ⁹⁴₂₃₉Pu, and the molar mass of plutonium-239 (Pu-239) is approximately 239 g/mol.
Number of moles of ⁹⁴₂₃₉Pu = mass / molar mass
= 1000 g / 239 g/mol
≈ 4.184 moles
Number of atoms of ⁹⁴₂₃₉Pu = Number of moles * Avogadro's number
= 4.184 * 6.022 x 10^23 atoms/mol
≈ 2.515 x 10^24 atoms
Now, we can calculate the initial activity:
Activity = λ * N
= 0.0000287 years⁻¹ * 2.515 x 10^24 atoms
≈ 7.16 x 10^19 decays/second or Becquerels (Bq)
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Related Questions
Kiedy błyska blisko slyszymy krótki grzmot, kiedy daleko długi. Dlaczego ?
Answers
Answer:
it is becuase light travel faster then sound thus light come to us first
Explanation:
to dlatego, że światło podróżuje szybciej niż dźwięk, to światło dociera do nas jako pierwsze
Coretta feels confident in her abilities, and she frequently makes contributions to her local community. Based on this information, what can you assume is true about Coretta?
A She has good emotional health.
B She makes self-esteem a priority.
C She recently improved her mental health.
D She exercises at least twice a day.
Answers
Answer:
A She has good emotional health.
Explanation:
Two cars are traveling at the same speed (100 km/hr). They are traveling in opposite directions. Do they have the same velocity? Why?
Answers
Explanation:
well its depends for example one car might be going down the hilll and the other up a hill and there the velocity can change between the cars because of gravity so one can be going faster and the other slower.
Give reasons why christian should avoid corruption
Answers
Answer: that Christians should not withdraw from the world, but should actively participate in the ... That is perhaps the reason why there is currently such an ... Investigating the root causes and consequences of corruption may contribute to a more.
Explanation:
2. Why is transmission fluid red?
A) O Viscosity modifiers turn the fluid red.
B) O Oxidation preventers turn the fluid red.
QO To distinguish it from other fluids and prevent confusion for the user
D) O Red fluids are more slippery.
Answers
Transmission fluid red is made to be red in color in order
C: To distinguish it from other fluids and prevent confusion for the user.
Transmission fluid are fluids that are used in in various types of transmissions, these could be used with CVT as well as dual clutch models.Transmission fluid could be an automatic transmission fluid or manual transmission fluid. Traditional transmission fluid is been produced from crude oil as well as the reshaping of hydrocarbons . Synthetic transmission fluid is produced by various chemical reactions, at high temperature, it can breakdown and oxidize.Uses of Transmission fluid are;lubrication of the transmission moving part.Conditions seals to prevent leakingThe color of Transmission fluid red is red, as a result of the added dye, and this will help to make it unique from other fluids and to be able to be identified easily by the user.It does not has anything to do with it's viscousity or any other chemical properties.Therefore, option C is correct because transmission fluid doesn't have any chemical properties associated with it's red color.
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One Newton is equivalent to
A. 1 kg/s2
B. 1 kg*m/s
C. 1 kg*m/s2
D. 1 kg/s
Answers
Answer:
B
Explanation:
WILL GIVE BRAINLIST TO THE CORRECT ANSWER!
Read the two passages.
Excerpt from The Gettysburg Address, 1863
By Abraham Lincoln
Four score and seven years ago, our fathers brought forth upon this continent a new nation: conceived in liberty, and dedicated to the proposition that all men are created equal.… Now we are engaged in a great civil war…[and many have died]. It is for us the living…to be dedicated here to the unfinished work which they who fought here have thus far so nobly advanced. It is rather for us to be here dedicated to the great task remaining before us ...that we here highly resolve that these dead shall not have died in vain...that this nation, under God, shall have a new birth of freedom...and that government of the people...by the people...for the people...shall not perish from this earth.
Excerpt from John F. Kennedy’s Inaugural Address, 1961
By John F. Kennedy
In the long history of the world, only a few generations have been granted the role of defending freedom in its hour of maximum danger; I do not shrink from this responsibility.… I welcome it. I do not believe that any of us would exchange places with any other people or any other generation. The energy, the faith, the devotion which we bring to this endeavor will light our country and all who serve it…and the glow from that fire can truly light the world. And so, my fellow Americans…ask not what your country can do for you…ask what you can do for your country. My fellow citizens of the world…ask not what America will do for you, but what together we can do for the Freedom of Man.
According to the supporting details, what do the speeches by Lincoln and Kennedy have in common?
A. Both speeches mention that the presidents do not welcome the role of defending freedom.
B. Both speeches express they do not want those who have died during a war to have died in vain.
C. Both speeches indicate a desire to motivate and unite Americans in order to preserve freedom.
D. Both speeches pose a question for each American to ask themselves.
Answers
Answer:
the best answer would be c
Explanation:
Explanation:
two ball of mass 4kg and 2kg move towards each other with a velocity of 4ms-1 and -2ms-1 respectively .if after collision they stick together and move with 2ms-1,what is the loss of ke,what is the nature of collision
Answers
The loss of kinetic energy is -24 J and the nature of the collision is inelastic elastic collision.
Initial kinetic energy of the balls
The initial kinetic energy of the balls is calculated as follows;
K.Ei = ¹/₂mvi²
where;
m is mass of the ballsvi is the speed of the balls before collisionK.Ei = ¹/₂(4)(4²) + ¹/₂(2)(2²)
K.Ei = 36 J
Final kinetic energy of the ballsK.Ef = ¹/₂mvf²
where;
vf is the final speed of the balls after collisionK.Ef = (0.5)(4 + 2)(2)²
K.Ef = 12 J
Change in kinetic energy of the ballsΔK.E = K.Ef - K.Ei
ΔK.E = 12 J - 36 J
ΔK.E = -24 J
Thus, the loss of kinetic energy is -24 J and the nature of the collision is inelastic elastic collision.
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A man starts his motion from rest with uniform acceleration of 1 m/s2, then his
velocity equals 1 m/s during
from starting his motion.
averag
I need the formula please
Answers
Explanation:
can u pls ask the question again? No full information! I mean are you required the time it takes or what ?
three capacitors are connected to an emf as shown with c1 < c2 < c3. which relation is true of the charges q1, q2 and q3 on the capacitors?
Answers
Based on the diagram, the capacitors are connected in series. In a series connection, the same charge flows through each capacitor. Therefore, the relation of the charges q1, q2, and q3 can be determined as follows:
q1 = q2 = q3
In a series connection, the charges on the capacitors are equal.
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What is the equivalent resistance (total resistance) of the series circuit shown?
Answers
Answer:
In a series circuit, the equivalent resistance is the algebraic sum of the resistances. The current through the circuit can be found from Ohm's law and is equal to the voltage divided by the equivalent resistance. The potential drop across each resistor can be found using Ohm's law.
A football player is tackled by another player and lands with the combined weight of both players on his knee. If the combined weight of the players is 2400 N and the player's knee measures 0.1 m by 0.1 m, how much pressure is exerted on the turf when the player lands on his knee?
Answers
Answer:
the pressure exerted on the turf when the player lands on his knee is 240,000 N/m².
Explanation:
Given;
combined weight of the players, F = 2400 N
measurement of the player's knee = 0.1 m by 0.1 m
The area of the player's knee is calculated as;
A = 0.1 m x 0.1 m = 0.01 m²
The pressure exerted on the turf when the player lands on his knee is calculated as;
P = F / A
P = (2400 N) / (0.01 m²)
P = 240,000 N/m²
Therefore, the pressure exerted on the turf when the player lands on his knee is 240,000 N/m².
what is volume help plz
Answers
Answer:
Explanation:
Volume = Length x width x height
Multiply the length, width and, height to get the volume of the question.
The wheel of a certain bus are 2m apart and the bus falls over when it is tilted sideways at 45degree angle with vertical. What is the tension in each rope
Answers
Answer:
F = m g / 4, F = 12250 N
Explanation:
For this exercise we must use the rotational equilibrium relation
∑τ = 0
let's set a reference system on the wheel where the bus is turning and that the anti-clockwise rotations have been positive
-2F x_string + W x_bus = 0
x_bus =\frac{l}{2} cos 45
x_string = l cos 45
where F is the force on each wheel and W the weight of the bus ,, we assume that the center of mass is in the middle and x_bus is the perpendicular distance from the center of mass to the turning point.
2F l cos 45 = W \(\frac{l}{2}\) cos 45
F = m g / 4
to finish the calculation we must assume a mass for the bus m = 5000 kg
F = 5000 9.8 / 4
F = 12250 N
An electron moving at 4.10 ✕ 103 m/s in a 1.45 T magnetic field experiences a magnetic force of 1.40 ✕ 10−16 N. What angle does the velocity of the electron make with the magnetic field? There are two answers between 0° and 180°. ° (smaller value) ° (larger value)
Answers
ANSWER
\(8.46\degree;\text{ }171.54\operatorname{\degree}\)EXPLANATION
Parameters given:
Speed of electron, v = 4.10 * 10^3 m/s
Magnetic field, B = 1.45 T
Magnetic force, F = 1.40 * 10^(-16) N
To find the angle that the velocity of the electron makes with the magnetic field, apply the formula for magnetic force:
\(F=qvB\sin\theta\)where θ = angle
q = electric charge = 1.6 * 10^(-19) C
Make θ the subject of the formula:
\(\begin{gathered} \sin\theta=\frac{F}{qvB} \\ \\ \theta=\sin^{-1}(\frac{F}{qvB}) \end{gathered}\)Therefore, the angle that the velocity makes is:
\(\begin{gathered} \theta=\sin^{-1}(\frac{1.4*10^{-16}}{1.6*10^{-19}*4.1*10^3*1.45}) \\ \\ \theta=\sin^{-1}(0.1472) \\ \\ \theta=8.46\degree \end{gathered}\)To find the second angle, subtract the angle from 180 degrees:
\(\begin{gathered} 180-8.46 \\ \\ 171.54\degree \end{gathered}\)The angles are:
\(8.46\operatorname{\degree};\text{ }171.54\operatorname{\degree}\)A single celled organism is found in a sample of water. It contains a nucleus as well as other membrane bound organelles and possesses collagen for movement. This organism most likely belongs to which kingdom?
Answers
Answer:
Explanation:
The cell is the smallest living organism that contains all the features of life, and most all life on the planet begins as a single-cell organism. Two types of single-celled organisms currently exist: prokaryotes and eukaryotes, those without a separately defined nucleus and those with a nucleus protected by a celluA single-celled organism is found living in a deep sea vent at the bottom of the ocean in extremely hot water. If it is examined further, which of the following is most likely to be found within it? It will have DNA that is not contained in a nucleus since it is likely a member of the domain Archaea.lar membrane.
Hope this helps. :)
Your house is 200 m away from school. Today, you decide to go to your friends house first and then to school, travelling 300 m instead. Because you took that detour, it took you 5 minutes to get to school today, what is your average speed? (speed = Distance/time)
Answers
Suppose, in a physics lab experiment, you try to move a box of 5 kg by tying a rope around it across a flat table and pulling the rope at an angle of 30 degree above the horizontal as shown in the figure;
i. If the box is moving at constant speed of 2m/s and the coefficient of friction is 0.40, What is the magnitude of F?
ii If the box is speeding up with constant acceleration of 0.5 m/s2 ,What will be the magnitude of F?
Answers
i. The magnitude of F, given that the box is moving at constant speed of 2 m/s is 24.5 N
ii. The magnitude of F, given that the box is moving at constant acceleration of 0.5 m/s² is 2.5 N
i. How do i determine the magnitude of F?We can obtain the magnitude of F when the box is moving at constant speed of 2 m/s can be obtain as follow:
Mass of box (m) = 5 KgAngle (θ) = 30 degreesAcceleration due to gravity (g) = 9.8 m/s² Magnitude of F =?F = mgSineθ
F = 5 × 9.8 × Sine 30
F = 5 × 9.8 × 0.5
Magnitude of F = 24.5 N
ii. How do i determine the magnitude of F?We can obtain the magnitude of F when the box is moving at constant acceleration of 0.5 m/s² can be obtain as follow:
Mass of box (m) = 5 KgAcceleration (a) = 0.5 m/s² Magnitude of F =?F = ma
F = 5 × 0.5
Magnitude of F = 2.5 N
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A 0.5 kg ball has a velocity of 20 m/s.
a. What is the kinetic energy of the ball?
B. How much work would be required to stop the ball
Answers
The kinetic energy of the ball is 100j
100j of work would be required to stop the ball.
What is Kinetic energy?Kinetic energy is a form of energy that an particle has by reason of it's motion.if we accelarate a object we must apply a force.
Here the mass (m) is 0.5 kg
It's velocity (v) is 20 m/s
The kinectic energy is
KE = 1/2 mv^2 = 1/2(0.5)20.20= 100 J
Again the workdone to stop it is calculated by work energy theorem
Change in KE = workdone
Or 100 J - 0 J or 100 J needed to stop the ball.
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36) All of the following statements are true. Which one explains the reason why there is not a solar eclipse at every new Moon?
A) The nodes of the Moon's orbit precess with an 18-year period.
B) The orbital plane of the Moon is tilted by about 5° to the ecliptic plane.
C) The Moon rotates synchronously with its revolution about Earth.
D) The sidereal month is shorter than the lunar month.
E) The Moon is the primary cause of tides on Earth.
Answers
The reason why there is not a solar eclipse at every new Moon is because the orbital plane of the Moon is tilted by about 5° to the ecliptic plane. The correct answer is option b.
This is the reason why there is not a solar eclipse at every new Moon. The ecliptic plane is the plane of Earth's orbit around the sun. For a solar eclipse to occur, the Moon must be in the same plane as the Sun and Earth, but because the Moon's orbital plane is tilted by about 5° to the ecliptic, it often misses alignment and a solar eclipse does not occur.
A solar eclipse is a phenomenon that occurs when the Moon passes between the Sun and Earth, casting a shadow on Earth and blocking the light from the Sun. There are three types of solar eclipses: total, partial, and annular. During a total solar eclipse, the Moon covers the entire disk of the Sun, causing the sky to darken and creating a spectacular sight.
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A light bulb consumes 1800 watt-hours per day. How long does it take to consume 8100 watt-hours? days
hours X 5
Answers
It 4.5 hours for the light bulb to consume 8100 watt-hours of power.
The energy consumed by the light blub = 8100 watt-hours.
Let the time taken be t hours.
We know that;
Energy = power × time
Energy (E) = 8100 watt-hours
Power (P) = 1800 watt
Time (t) =?
8100 = 1800 × t
= 8100 / 1800
= 4.5 hours
The time taken by the light bulb is 4.5 hours.
Therefore, it could take 4.5 hours for the light bulb to consume 8100 watt-hours.
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Which property of a transverse wave stays the same even as the wave's
energy and other properties change?
Wavelength
Frequency
Rest position
Amplitude
ent
1 of 8 QUESTIONS
SUBMIT
Answers
The property of a transverse wave that stays the same even as the wave's energy and other properties change is the wavelength.
The correct option to the given question is option a.
The wavelength is the distance between two successive points of the wave that are in phase. As the wave's energy and amplitude change, the distance between two successive points of the wave that are in phase remains the same.
This is because wavelength is determined by the frequency of the wave and the speed of propagation. The frequency of the wave is the number of cycles of the wave that occur in one second, while the speed of propagation is the rate at which the wave travels through a medium.
If the frequency of the wave and the speed of propagation remain the same, then the wavelength will also remain the same even as the wave's energy and other properties change. This property is known as the characteristic of the wave.The amplitude is the maximum displacement of a point on the wave from its rest position. The frequency is the number of cycles of the wave that occur in one second. The rest position is the position of the medium when it is not disturbed.
Hence, wavelength of a transverse wave remains same even as the wave's energy and other properties change.
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what happens to most of the energy when energy is transferred to ocean water from the moving air above it? responses it pushes the water forward. it pushes the water forward. it reflects off the surface of the water. it reflects off the surface of the water. it moves through the water. it moves through the water. it causes the water to evaporate.
Answers
Most of the energy moves through the water when it is transferred to ocean water from the moving air above it. Option c is correct answer.
When energy is transferred to ocean water from the moving air above it, the most common response is that it moves through the water. The energy transferred from the moving air above the ocean is typically in the form of wind energy, which can generate waves and currents in the water. These waves and currents carry the energy through the water, causing the water to move and creating a variety of ocean phenomena such as tides, upwelling, and ocean currents. While some of the energy may be reflected off the surface of the water or cause some water to evaporate, these are typically minor effects compared to the overall energy transfer that occurs through the water. Hence, Option c is correct answer.
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--The complete question is, What happens to most of the energy when energy is transferred to ocean water from the moving air above it? responses
a. it pushes the water forward.
b. it reflects off the surface of the water.
c. it moves through the water.
d. it causes the water to evaporate.--
Answer: It moves through the water.
Explanation: I took the quiz on k12 and got 100% and here is proof.
Which graph represents a car with positive acceleration?.
Answers
Explanation: a graph showing a steeper or none uniform or increase
At what velocity would a 5.0 kg dog have to run to have the same
momentum as a 30 kg pig walking at 3.0 m/s?
Answers
Answer:
The velocity with which the 5.0 kg dog has to run to have the same momentum as the 30 kg pig walking at 3.0 m/s is 18 m/s
Explanation:
Given that the mass of the dog = 5.0 kg
The mass of the pig = 30 kg
The speed with which the pig is walking = 3.0 m/s
We have that linear momentum = Mass × Velocity
Therefore, the momentum of the pig, m₁ = 30 kg × 3.0 m/s = 90 kg·m/s
m₁ = 90 kg·m/s
The momentum of the dog m₂ = Mass of the dog × Velocity of the dog
Given that m₁ is to be equal to m₂, we have;
m₁ = 90 kg·m/s = m₂ = Mass of the dog × Velocity of the dog
90 kg·m/s = m₂ = 5.0 kg × Velocity of the dog
m₂ = 5.0 kg × Velocity of the dog = 90 kg·m/s
5.0 kg × Velocity of the dog = 90 kg·m/s
Velocity of the dog = 90 kg·m/s/(5.0 kg) = 18 m/s
The velocity with which the 5.0 kg dog has to run to have the same momentum as the 30 kg pig walking at 3.0 m/s = 18 m/s.
What is the acceleration of the object?
Answers
The current in a light bulb is 2 A. How long does it take for a total charge of 4 C to pass a point in the wire
Answers
Answer:
2min
Explanation:
i think it will be clear from photo
Answer: The formula for current is charge/time
so here we have to change subject so we are asked to look for time
Explanation: so it would be T=Q/I
T=4/2
T=2s
hope this helpss
I am having a bit of difficulty with this lab question:
_________________________________________
The passage of an occluded front may be accompanied by widespread precipitation and little temperature change at ground level. This is because occluded fronts are a combination of (1). [one / two / three] cold/cool air mass(es), which shifts a (2). [cold / warm / hot] air mass (3). [aloft / sideways / downwards].
_________________________________________
Currently, I have my answers as follows:
1. two cool/cold air masses
2. warm
3. downwards
Could someone help me out and let me know if I am correct? Thanks!
Answers
This is due to the fact that occluded fronts combine two cold air masses, which causes one of the cold air masses to go downward.
When a warm air mass is sandwiched between two cold air masses, an occluded front occurs. In an occlusion, the warm front passes over the cold front, which dives beneath it.
In a front is obscured, the warm front is fully supplanted by the cold front, in which the warm air masses have completely disappeared. Furthermore, there are frequent shifts in the various weather producing circumstances because of the cold front's relatively low temperature.
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Calculate the kinetic energy of a 20-kg sled moving 28.0 m/s. Show your work in the space to the right.
Answers
Answer:
7840
Explanation:
K.e=1/2mv^2
=1/2(20)(28.0)^2
=7840J
Suppose you had an electrical circuit and decided to change it into a new circuit. does the equivalent resistance of the new circuit compare to the old one ? If you were to insert additional resistors in series, how 。
a. No effect on the equivalent resistance
b. The equivalent resistance decreases
c. The equivalent resistance increases
Answers
Answer:
Yes becuase the circuit is fryed like sum french fries so yes yes is the yes option yes okay, yes but no
Explanation:
If you were to insert additional resistors in series, the equivalent resistance increases. The correct option is c.
What is equivalent resistance?The resistances when connected in series has the equivalent resistance equal to the sum of all the individual resistances.
In the series circuit, the equivalent resistance is
Req= R₁ + R₂ + R₃
Suppose you had an electrical circuit and decided to change it into a new circuit.
The current through the circuit is the same for each resistor in a series circuit and is equal to the applied voltage divided by the equivalent resistance.
Yes, the equivalent resistance of the new circuit compare to the old one.
If you were to insert additional resistors in series, the equivalent resistance increases.
Thus, the correct option is c.
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