Aone-gram sample of thorium ²²⁸Th contains 2.64 x 10²¹ atoms and undergoes a decay with a half-life of 1.913 yr (1.677 x 10⁴h).Each disintegration releases an energy of 5.52 MeV (8.83 x 10⁻¹³ J). Assuming that all of the energy is used to heat a 3.72-kg sample of water, find the change in temperature of the sample that occurs in one hour. Number i _____Units
Answers
one-gram sample of thorium ²²⁸Th contains 2.64 x 10²¹ atoms and undergoes a decay with a half-life of 1.913 yr (1.677 x 10⁴h).Each disintegration releases an energy of 5.52 MeV (8.83 x 10⁻¹³ J).
To find the change in temperature of the water sample, we need to calculate the total energy released by the decay of the thorium sample and then use it to calculate the change in temperature using the specific heat capacity of water.
Given:
Mass of thorium sample = 1 gNumber of thorium atoms = 2.64 x 10^21 atomsDecay energy per disintegration = 5.52 MeV = 5.52 x 10^-13 JHalf-life of thorium = 1.913 years = 1.677 x 10^4 hoursMass of water sample = 3.72 kgStep 1: Calculate the total energy released by the decay of the thorium sample.
To find the total energy, we need to multiply the energy released per disintegration by the number of disintegrations.
Total energy released = Energy per disintegration x Number of disintegrations
Total energy released = (5.52 x 10^-13 J) x (2.64 x 10^21)
Step 2: Convert the time period of one hour to seconds.
1 hour = 60 minutes x 60 seconds = 3600 seconds
Step 3: Calculate the change in temperature of the water sample.
The change in temperature can be calculated using the equation:
Change in temperature = Energy released / (mass of water x specific heat capacity of water)
Specific heat capacity of water = 4.18 J/g°C
First, we need to convert the mass of the water sample to grams.
Mass of water sample in grams = 3.72 kg x 1000 g/kg
Now, we can substitute the values into the equation:
Change in temperature = (Total energy released) / (Mass of water sample x Specific heat capacity of water)
Remember to convert the change in temperature to the desired units.
Let's calculate the change in temperature:
Total energy released = (5.52 x 10^-13 J) x (2.64 x 10^21)
Mass of water sample in grams = 3.72 kg x 1000 g/kg
Specific heat capacity of water = 4.18 J/g°C
Change in temperature = (Total energy released) / (Mass of water sample x Specific heat capacity of water)
Finally, convert the change in temperature to the desired units.
Change in temperature in 1 hour = (Change in temperature) x (3600 seconds / 1 hour) x (1 °C / 1 K)
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Related Questions
Question 6 of 10
Which phrase is the best definition of matter?
A. Something that occupies a volume of space and also has mass
B. The smallest piece of a chemical compound that retains the
properties of the compound
C. A substance that can change in both volume and shape
D. A substance that cannot be divided into smaller pieces
Answers
Explanation:
A. Something that occupies a volume of space and also has mass
Sally has a mass of 50 kg and she is floating in space. She has 1000 balls each with a mass of 1 kg. If she starts from rest and starts continuously throwing each ball backwards at a relative speed of 60 m/s, then what would be her final speed after throwing the 1000th ball
Answers
Answer:
saxsccd
Explanation:
a diode converts ac to pulsed dc. what electrical device smoothes the pulsed dc to a smoother dc?
Answers
The device that is used to smooth the pulsed DC to a smoother DC is called a capacitor. A capacitor is an electrical component that is used to store electrical energy in an electric field.
When a capacitor is connected to a circuit, it charges up and stores energy when the voltage is high, and discharges that energy when the voltage is low. When used in conjunction with a diode, a capacitor can be used to smooth out the pulsed DC that is produced by the diode, turning it into a much smoother DC voltage.
When a diode is used to convert AC to pulsed DC, the resulting waveform will be a series of pulses that are spaced out in time. While this may be suitable for some applications, such as LED lighting, it is not suitable for others. For example, if you were using the pulsed DC to power an electronic device, the pulsing could cause problems with the device's operation.
The capacitor helps to smooth out these pulses by storing energy during the periods when the voltage is high, and then releasing that energy when the voltage is low. This has the effect of filling in the gaps between the pulses, creating a much smoother and more continuous DC voltage.
In summary, a capacitor is the device that is used to smooth out pulsed DC produced by a diode. By storing and releasing electrical energy in response to changes in voltage, a capacitor can turn a pulsed DC waveform into a much smoother DC voltage that is suitable for a wide range of electronic applications.
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Help for brainlist easy science plz
Answers
Answer:
the pics upside down fam
Explanation:
Part Two: Criteria, Constraints, and Prioritizations
1. Choose one sub-problem that you will investigate further and explain which one you chose here.
o
2. List two realistic criteria for the sub-problem.
o
o
3. Explain why it is important for these criteria to be met in order to solve the problem.
o
4. List two constraints for the sub-problem.
o
o
5. Explain why these constraints exist. (How do they limit solutions to the problem?)
o
6. Prioritization of the criteria and constraints and an explanation supporting the decisions made based on research.
PLEASE HELP ME I DONT UNDERSTAND<333
Answers
Answer:
Usually, a solution can have several criteria and constraints. Even though all are important, some criteria are more important than others. The same holds true for constraints. But what do you do if it's impossible for a solution to cover every criterion while avoiding every constraint? In cases like this, you can use prioritization. Listing criteria and constraints based on priority shows the relative importance of each. You will need to prioritize the criteria and constraints for each sub-problem so that you can design a solution for each one individually. Prioritization can help you compare two different possible solutions. For example, the criterion that cars travel at 15 mph through the neighborhood might be a higher priority than the constraint that homeowners are only willing to spend $10,000 on this issue. If this is the case, you would want to generate solutions that also follow the priority in mind. All criteria are important, but engineers must sometimes make a trade-off, which is a compromise or change in one or more criteria or constraints so that they can be met at the same time. This is where prioritization comes in handy as it helps determine the trade-offs. A solution that is doing a better job of meeting one criterion may result in not completely meeting another criterion. Prioritization will help you choose which solution to go with.
Explanation:
I got this from quizlet :)
A wave with a frequency of 60.0Hz travels through steel with a wavelength of 85.5m. What is the speed of this wave
Answers
=60.0*85.5
=5130ms/2
if an object is dropped 14 meters how long will it take for it to hit the ground
Answers
Hi! I believe your answer is 6.3 seconds because it takes 0.45 seconds for an object to fall 1 meter, so just multiply 0.45 by 14 and you'll get 6.3 seconds. I hope this helps you! Good luck and have a great day/night. ❤️✨
You push a book across a table. The book moves at a constant speed, but you do not move. Identiffy all the forces on you. Then identify all of the forces on the book
Answers
The forces acting on me are static frictional force and reaction force of the book. The forces acting on the book moving with a constant speed are Applied force and Kinetic frictional force.
Forces acting on me are
Static frictional forceReaction force of the bookThe book at rest, will have a static frictional force. So when I push the book, these forces will act on me. According to Newton's third law of motion, when I apply a certain amount of force on the book, the book will exert the equal amount of force on me.
Forces acting on the book are
Applied forceKinetic frictional forceThe book when moving at constant velocity will have zero net force, because according to Newton's second law of motion, force is directly proportional to acceleration. If the velocity is constant, acceleration will be zero and net force will also be zero. Since the book is moving on a table, a kinetic frictional force will act on the book to resist the movement of the book.
Therefore,
The forces acting on me are Static frictional force and Reaction force of the book.The forces acting on the book are Applied force and Kinetic frictional forceTo know more about Newton's second law of motion
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principle of conservation of momentum
Answers
If the two billiard balls collided elastically but not head-on and moved together after the collision, then it is likely that the faster moving ball struck the other ball at an angle and transferred some of its momentum to it.
Principle of Conservation of MomentumThe principle of conservation of momentum is applied in this deduction by noting that the total momentum of the system (both balls) before the collision must be equal to the total momentum after the collision.
This means that the momentum transferred from the faster moving ball to the other ball during the collision must be equal to the difference in momentum between the two balls before the collision.
This principle helps us to understand the relationship between the initial conditions of the system and the outcome of the collision.
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A stone is thrown horizontally from a 50m high cliff with an initial speed of 15 meters per second. How far will the stone have travelled from the cliff when it strikes the ground?
a. 45.92m/s
b. 47.85 m
c. 58.2 seconds
d. 35.85 m/s/s
Answers
This is a classic case of 'velocity components.'
Imagine a vector for velocity. Now, consider that this vector could be the hypotenuse of a right triangle, with two other sides going along the x and y-axis. These sides of the triangle will have values, and adding them up using the pythagorean theorem will prove that the sum of their squares equals the square of the original vector.
Well, okay, that's nice and all, you may be saying - but how do we solve the actual question?
Let's apply this thought to the question. This vector can have both an x component and y component (essentially, parts of the vector that travel along the x and y-axis).
Now, what could these components be? We know that the stone is thrown perfectly horizontally, meaning that the x-component is quite literally the velocity.
How about the y-component? Since it's thrown at a perfect horizontal, there isn't really any vertical velocity whatsoever. There's only horizontal velocity.
"Great, fantastic! So, what's the importance of figuring out the horizontal and vertical velocities?"
When a stone is in free fall, it experiences a gravitational acceleration. This acceleration from gravity, though, only affects the vertical velocity. Since gravity is vertical as well, it's essentially impossible for the horizontal velocity to be changed at all.
This means that to solve the horizontal distance, we simply need to find the time it takes for the rock to hit the ground and multiply said time by the horizontal velocity.
Since the vertical velocity is the only thing changed by gravity, we can write out an equation that can solve for the time:
∆Y = \(v_{i}\)t + \(\frac{1}{2}\)g\(t^{2}\)
We know that initial vertical velocity is zero, so:
∆Y = \(v_{i}\)t + \(\frac{1}{2}\)g\(t^{2}\)
∆Y = 0t + \(\frac{1}{2}\)g\(t^{2}\)
∆Y = \(\frac{1}{2}\)g\(t^{2}\)
We need to solve for t, so let's isolate the variable. Multiply both sides by 2 to get rid of the fraction:
∆Y * 2 = \(\frac{1}{2}\)g\(t^{2}\) * 2
2∆Y = g\(t^{2}\)
Divide both sides by g:
(2∆Y)/g = \(\frac{gt^{2} }{g}\)
Square root both sides:
\(\sqrt{(2Y)/g}\) = \(\sqrt{t^{2} }\)
t = \(\sqrt{(2Y)/g}\)
Input our values for Y and g (Y is the height of the cliff, and g is gravitational acceleration):
t = \(\sqrt{(2*50)/9.80}\)
Solve:
t = \(\sqrt{(2*50)/9.80}\)
t = 3.194 (s)
Whew! That was a lot of steps to find the time! Now that we have the time, we can find the horizontal distance the rock travels:
∆x = \(v_{i}\)t + \(\frac{1}{2}\)a\(t^{2}\)
The horizontal velocity has no acceleration (gravity is vertical!), so:
∆x = \(v_{i}\)t + \(\frac{1}{2}\)*0*\(t^{2}\)
∆x = \(v_{i}\)t
The horizontal velocity is 15 m/s, and the time is 3.194:
∆x = \(v_{i}\)t
∆x = 15 * 3.194
∆x = 47.91 (m)
Since we rounded the time, it makes sense that our final answer's a little bit off to the options. The closest one is option B, which is only 0.6m off, a tiny difference that may have come from the test maker's use of '10 m/\(s^{2}\)' as the gravitational acceleration (while we stayed as accurate as possible with 9.80) as well as our rounding of the final time.
Option B, the stone will have travelled 47.85 meters.
If you have any questions on how I got to the answer or if you're still confused on any topic I attempted to explain, just ask in the comments and I'll try to answer it to the best of my ability! Good luck!
- breezyツ
Can someone help me with this please
Answers
you measure your body temperature with a thermometer calibrated in kelvin. what do you hope the reading is (assuming you are not trying to fake some sort of illness)?
Answers
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if a body of mass 2kg moving with Velocity of 15m/s collides with a stationary body of same mass then after elastic collision 2nd body will move with the velocity of?
Answers
Answer:
v = 15 [m/s]
Explanation:
To solve this problem we must use the principle of conservation of linear momentum, which tells us that momentum is equal to the product of mass by Velocity.
\(P=m*v\)
where:
P = linear momentum [kg*m/s]
m = mass = 2 [kg]
v = velocity = 15 [m/s]
\(P=2*15\\P=30 [kg*m/s]\)
Since we know that momentum is conserved, that is, all momentum is transferred to the second body, we can determine the velocity of the second body, since the mass is equal to that of the first body.
\(30=2*v\\v = 30/2\\v = 15 [m/s]\)
Here’s another one :(
Answers
i really need help with this. please! thank you.
Answers
A balloon weighing 15 grams is filled with helium (density = 0.180 kg/m³) to a volume of 6.0 m³ and attached to a spring of force constant 120 N/m. It Determine the extension of the spring, L, when the balloon is in equilibrium. The density of air is 1.29 kg/m³.
Answers
The extension of the spring, L, when the balloon is in equilibrium is 0.63 m.
Weight of the balloon = 15 g = 0.015 kg
Density of helium = 0.180 kg/m³
Volume of balloon = 6.0 m³
Force constant of spring, k = 120 N/m
Density of air = 1.29 kg/m³
Extension of the spring, L, when the balloon is in equilibrium using Hooke's law, F = kx
Let's first find the buoyancy force on the balloon when it is filled with helium and determine its weight. Buoyancy force = weight of the air displaced by the balloon
Buoyancy force = Density of air × volume of the balloon × gravitational acceleration = 1.29 kg/m³ × 6.0 m³ × 9.8 m/s² = 75.768 N
Weight of the balloon = Mass of the balloon × gravitational acceleration= 0.015 kg × 9.8 m/s² = 0.147 N
Therefore, the net force acting on the balloon when it is filled with helium is given by
Net force = Buoyancy force - Weight of balloon = 75.768 N - 0.147 N = 75.621 N
This net force acts upward on the balloon.
Now, using Hooke's law, we can determine the extension of the spring, L, when the balloon is in equilibrium.
F = kx, where F is the net force acting on the balloon, and k is the force constant of the spring.
Substituting the values of F and k, we get75.621 N = 120 N/m × L
Therefore,
L = 75.621 N / 120 N/m = 0.63 m
Therefore, the extension of the spring, L, when the balloon is in equilibrium is 0.63 m.
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Explain the conversion of energy in a roller coaster. Explain how energy is converted
Answers
Help please answer all if ya can please
Answers
Answer:
1. Privacy
-The state or condition of being free from being observed or disturbed by other people.
2. Commitment
-The state or quality of being dedicated to a cause, activity, etc.
3. Profile
-There are multiple answers for this word so I'm not sure which is the one you need.
4. Widow
-A woman who has lost her spouse by death and has not remarried.
5. Aristocrat
-A member of the aristocracy.
6. Affordable
-Inexpensive; reasonably priced.
7. Variable
-A symbol for a value we don't know yet. It is usually a letter like x or y.
Explanation:
land controlled by the lord of the manor is called
Answers
Answer: The whole of it was owned originally by the lord of the manor. He lived in the big house called the manor house. Attached to it were many acres of grassland and woodlands called the park. These were the "demesne lands" which were for the personal use of the lord of the manor.
The lord of the manor previously owned the entire property. He resided in the substantial home known as the manor house.
Thus, The park, which covered many acres of grassland and trees, was connected to it. These "demesne lands" belonged to the lord of the manor and were used exclusively for his exclusive purposes.
The word "manor" is derived from the Old French word "manoir," which means "dwelling place," but a manor isn't just any old house.
The homes and grounds of the nobility were referred to as manors back when people still had titles of nobility. expressing to someone that his home is a manor is the equivalent of expressing that it is so lavish and beautiful that it could have belonged to a lord.
Thus, The lord of the manor previously owned the entire property. He resided in the substantial home known as the manor house.
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A force of 540 N is exerted on a 8 kg mass through 11 m. How much work was done?
• 4320 J
• 5940
• 742.5 J
• 47520 J
HELP PLEASE
Answers
Theta is the angle between the force and the distance. Since they are going in the same direction, the angle is 0. Cos 0 is 1, so we can ignore that part.
The rest of the equation is force times distance.
540 * 11 = 5940 J.
what are characteristics of ultra sound
Answers
Answer:
hBdbdbdbdbbdbdvdbdksbsonalamspamalans
Answer:Property 1: Ultrasonic waves vibrate at a frequency greater than the audible range for humans (20 kilohertz).
Property 2: They have smaller wavelengths. As a result, their penetrating power is high.
Property 3: They cannot travel through vacuum.
Property 4: Ultrasonic waves travel at the speed of sound in the medium. They have maximum velocity in a denser medium.
Property 5: In a homogeneous medium, they travel at a constant velocity.
Property 6: In low viscosity liquids, ultrasonic waves produce vibrations.
Property 7: They undergo reflection, refraction and absorption.
Property 8: They have high energy content. They can be transmitted over a large distance without much loss of energy.
Property 9: They produce intense heat when they are passed through objects.
Property 10:Like sound waves, ultrasonic waves are longitudinal waves that produce alternate compressions and rarefactions.
Explanation:
why is the lake shallow in winter?
Answers
Answer:
The justification for this scenario has been characterized elsewhere here.
Explanation:
Water extraction becomes the platform that could be utilized to start managing the problems of aquatic weeds. Water level devaluations often begin throughout the fall as well as keep going via the cold season because once water entertainment will be at its lowest. This has managed to decrease coastal erosion throughout these heavy floods.A ball rolls from x = -5 m to x = 0 m in 1 second. What was its average velocity?(Units = m/s)
Don't forget: velocities and displacements to the right are +, to the left are -.
Answers
Answer:
\(5\; {\rm m\cdot s^{-1}}\).
Explanation:
Displacement is the change in position. In this example, the position of this ball changed from the initial value of \(x_{0} = (-5)\; {\rm m}\) to the final value \(x_{1} = 0\; {\rm m}\). Subtract the initial position from the final position to find the change in position:
\(\begin{aligned} & (\text{Displacement}) \\ =\; & (\text{Change in Position}) \\ =\; & (\text{Final Position}) - (\text{Initial Position}) \\ =\; & 0\; {\rm m} - (-5)\; {\rm m} \\ =\; & 5\; {\rm m} \end{aligned}\).
Velocity is the rate of change in position. To find average velocity (average rate of change in position), divide the total change in position (displacement) by the time required for the change:
\(\begin{aligned} & (\text{Average Velocity}) \\ =\; & \frac{(\text{Total Change in Position})}{(\text{Time Required})} \\ =\; & \frac{(\text{Displacement})}{(\text{Time Required})}\\ =\; & \frac{5\; {\rm m}}{1\; {\rm s}} \\ =\; & 5\; {\rm m\cdot s^{-1}} \end{aligned}\).
Therefore, the average velocity will be \(5\; {\rm m\cdot s^{-1}}\).
A 17-year old employee
Answers
The Moon's appearance as seen from Earth changes
during the 28-day lunar cycle. You can see how the
changes happen by looking at the Sun-Earth-Moon system.
This diagram shows the relative positions of the Sun,
Earth, and the Moon at each point in the cycle.
Last quarter
New
moon
Full
moon
First quarter
Which statement best describes how the phase of the Moon changes from a
full moon to a new moon?
A. Earth moves around the Sun until the Moon is between the Sun
Answers
Answer:
C is correct
Explanation:
The statement that best describes how the phase of the Moon changes from a full moon to a new moon is as follows:
The Moon moves around the Earth until the Moon is between the Sun and the Earth.Thus, the correct option for this question is C.
What are the different phases of the Moon?The different phases of the moon may significantly include the new Moon, waxing crescent, first quarter, waxing gibbous, full Moon, waning gibbous, third quarter, and waning crescent. This cycle of phase change of the moon repeats once a month.
The Earth completes its one rotation around the sun in 365.25 days. While the moon completes its one rotation around the Earth in 29.5 days. The rotation of the moon around the earth leads to phase change of it. This is because when the moon rotates around the sun, it directly or indirectly causes its exposure to the sun where its phase changes.
In the diagram above, when there is a full moon, the earth is present between the sun and the moon. But when a new moon arises, the moon is present between the earth and the sun.
Therefore, the correct option for this question is C.
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voltage amplifiers use a voltage input signal and a current output signal. select one: true false
Answers
Voltage amplifiers use a voltage input signal and a current output signal. This statement is false.
A voltage amplifier uses a voltage input and a voltage output.
In an electric circuit, the job of a voltage amplifier is to amplify the high input voltage as compared to the low input voltage.
In general, transistor function as voltage amplifiers in a circuit and are used to increase the power, voltage, and current of a signal.
Generally, these amplifiers are used in audio devices and equipment, radio and television broadcasting, wireless communications, and so on.
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A venetian window blind can be adjusted to have 1/2 inch slots at 1 inch spacing. Could this be used as the grating in a large spectrometer? If not, why not?
Answers
This is not suitable for use as a grating in a large spectrometer.
A Venetian window blind could be used as a grating in a large spectrometer if the distance between adjacent slots on the grating is much less than the wavelength of the incident light.
This is because the grating, which is a series of parallel lines with spacing in the order of the wavelength of light, separates white light into its constituent colors by diffracting the light that enters the grating.
The colors are arranged according to the angle of diffraction and the wavelength of light.
When a diffraction grating is illuminated with white light, the light is dispersed into a spectrum of colors, each having a different angle of diffraction.
The angle of diffraction depends on the wavelength of light, the spacing between the lines, and the order of diffraction. Since the spacing between adjacent slots in the Venetian blind is 1 inch, it is not small enough to separate the different colors of white light.
Therefore, it is not suitable for use as a grating in a large spectrometer.
The spacing of the slots in a grating used in a spectrometer is much less than the wavelength of light to be diffracted.
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Two forces are acting on an object, but the net force on the object is O N. For the net
force to be o N, all the forces on the object must cancel. What must be true for the two
forces on the object to cancel?
Pls helpppppp
Answers
Answer:
A. The forces are the same size and in opposite directions.
Explanation:
Just as an opposite number will cancel a number: -1 +1 = 0, so an opposite force will cancel a force, with the result that the net is zero.
Its A The force are the same size and in opposite direction
please help me guys never mind the calculations
Answers
The shape is connected in parallel so;
5.1) Ans;
\( \frac{1}{R} = \frac{1}{R1} + \frac{1}{R2} \\ \frac{1}{R} = \frac{1}{2} + \frac{1}{3} \\ \frac{1}{R} = \frac{3 + 2}{6} = \frac{5}{6} \\ R = \frac{6}{5} = 1.2 \: \: ohm\)
5.2) Ans;
\( \frac{1}{R} = \frac{1}{R1} + \frac{1}{R2} \\ \frac{1}{R} = \frac{1}{8} + \frac{1}{10} \\ \frac{1}{R} = \frac{5 + 4}{40} = \frac{9}{40} \\ R = \frac{40}{9} = 4.4 \: \: ohm\)
I hope I helped you^_^
Which of the following refers to the motion of an object falling straight down
with only the force of gravity acting on it?
OA. Free fall
OB. Air resistance
OC. Gravity
OD. Projectile motion
Answers
Answer:
D
Explanation:
projectile motion
is the answer